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Scientific Basis and Build of Music - Index

Scientific Basis and Build of Music

[12/03/20 - 4221 line items]

♭ - 94, 109, 112, 113, 114, 116, 117, 118, Plate XXI, Plate XXIII (see Flat)
♭A - 120, Plate XXVII
♭B - 109, 120, Plate XXVII
♭C - 109
♭D - 120, Plate XXVII
♭E - 120, Plate XXVII
♭fourth - 113
♭G - 120, Plate XXVII
♭sixth - 113
♮ - 94, 114
# - 94, 109, 112, 113, 114, 116, 117, 118, Plate XXI, Plate XXIII (see Sharp)
# and the ♭ between two notes overlap - 109
# second - 113
# seventh - 113
1 - 16, 26, 36, 37, 61, 77, 88, 95, 105, 119, 121, Plate XXIII, Plate XXIX, Plate XXX
1 2/3 - 81
1 comma - 83, 94
1 different minor note - 89
1/2025 - 121, Plate XXX
1/25 - 15, 16
1/27 - 16
1/3 - 105 (see one-third)
1/4 - 15, 16, 75, 76
1/4 comma - 48
1/9 - 15, 16, 105 (see one-ninth)
10 - 16, 77, 102
11 - 12, 75
11 1/4 - 12
11, 13, 13, 19 - 77
117, Plate XXII
12 - 16, 102, 106, 107, 115, Plate XVI
12 fifths - 118, Plate XXII
12 keys - 63, 69, 118
12 keys notes - 114, Plate XV
12 major scales - 109, Plate XXI
12 major tonic chords - 115
12 minors - 115, Plate XVI
12 notes of the semitonic scale - 107
12 relative minor scales - 109
12 semitones - 108
12 tempered scales - 118, Plate XXII
12-foldness - 72
120 - 25
128 - 60
13 - 12, 75, 77
13 1/2 - 12
13 1/3 - 32
13 major mathematical scales - 80, 85, 89
13 minor mathematical scales - 80, 85, 89
13 pendulums - 104
13 scales - 86, 115, Plate XVI
135 - 107
13th Mathematical Scale an abnormality - 89
14 - 12
144 resolutions - 115, Plate XVI
15 - 16, 31, 88
15 dots - 102
15:16 - 95, 109
16 - 16, 22, 39, 88, 95, 102
16:27 - 110
18 - 16, 88, 102
18 proximate meetings - 105
19 ratios - 17, 77, 86
19 short periods - 106
19 years - 39
1:10 - 92
1:2 - 15, 23, 25, 26, 27, 29, 53, 77, 95, 106, 109
1:2 twelve times - 29
1:3 - 15, 53, 95
1:5 - 15, 53, 95
2 - 15, 16, 29, 35, 36, 37, 40, 60, 61, 75, 76, 77, 83, 85, 101, 102, 103, 105, 106, 107, 118, 121, Plate XXII, Plate XXIX, Plate XXX
2 commas - 85
2 minor chords - 103
2 notes - 89, 90, 106
2 octave-producer - 83
2 octaves - 106
2 produces octaves - 107
2 semitonic progressions - 51
2 twelve times - 106
2/3 - 105 (see two-thirds)
2/4 - 75, 76
2/9 - 105 (see two-ninths)
20 - 16, 88, 102
21 - 77
216 resolutions - 115, Plate XVI
22 1/2 - 88
22 notes - 111
235 moons - 39
24 - 16, 24, 102
24 diatonic tonic chords - 51
24 keys - 115, Plate XVI
24 Keys and their Chords - 114, 115, 116, 131, Plate VII, Plate XVI
24 MAJOR AND MINOR SCALES IN #s AND ♭s AND THEIR MUTUAL PROVIDINGS - 112
24 new notes - 89
24 scales - 114, Plate XV
24 Scales with their Signatures in #s and ♭s - 112, 114, 116, 145, Plate XIX, Plate XXI
24 tonic chords - 51, 73
25 - 15
25 circles of oscillation - 86
25 circles of vibrations - 17, 18
25 notes - 81, 103, 111
25 pendulums - 104, 105
25 sounds - 17
25 sounds in one musical sound - 17
256 vibrations - 22, 60
26 2/3 - 32, 43, 54, 87
26 2/3, as string length - 87
27 - 12, 16, 76, 88, 102
27 dots - 102
27:30 - 76
27:32 - 109
27:40 - 110
2:3 - 12, 26, 27, 29, 61, 77, 95, 106, 110
2:3 twelve times - 106
2:4 - 15
3 - 12, 15, 16, 28, 31, 35, 36, 37, 38, 40, 42, 60, 61, 62, 63, 66, 67, 75, 77, 81, 82, 83, 84, 85, 88, 95, 101, 102, 103, 105, 106, 107, 121, Plate XXIX, Plate XXX
3 1/3 - 32
3 cubed - 103
3 fifths - 76
3 gives fifths - 76
3 notes - 106
3 roots - 103
3 semitonic progressions - 51, Plate XVIII
3 three times - 42, 103, 107
3 three times produces fifths - 107
3 times 3 chord - 81, 104
3 times 3 major - 104
3 times 3 minor - 104
3 to 2 - 102
3-note chromatic chord - 54
3/4 - 75, 76
3/5 - 76
30 - 16, 25, 76, 88, 102
30 commas - 38
30, unit of measure - 25
300 - 107
300 years - 39
303 3/4 - 107
3072 - 118, Plate XXII
31 commas - 38, 78, 118, Plate XXIII
3113 467/512 - 118, Plate XXII
32 - 16, 19, 22, 77, 85, 88, 89, 102
32 notes - 119, 151, Plate XXVII
32 notes in octave - 85, 89
32:45 - 110
35 - 77
36 - 16, 88, 102
360 - 76, 119, Plate XXIII
3:2 - 102
3:4 - 95, 106, 110
3:9 - 15
4 - 15, 16, 60, 77, 85, 102
4 comma interval - 56, 83
4 commas - 56, 62, 83, 84, 94, 114
4 consecutive octaves - 103
4 octaves - 103
4-note chord - 49, 52, 54, 55, 73
4/5 - 76
40 - 16, 88, 102,
40 1/2 - 117, Plate XXII
40:54 - 110
42 intervals - 76, 77, 109
45 - 12, 16, 88, 102, 106
45 dots - 102
45:64 - 105, 106, 110
48 - 16, 88, 102, 115
48 chords - 115
48 chords in the primary, secondary, and tertiary manners - 115, Plate XVI
48 chromatic resolutions - 115, Plate XVI
4:5 - 26, 109
5 - 15, 16, 28, 29, 31, 37, 60, 62, 63, 66, 67, 75, 76, 78, 82, 83, 84, 95, 101, 102, 103, 106, 107, 108, 121, Plate XXX
5 comma second - 56, 75, 91
5 comma step - 48
5 commas - 47, 48, 75, 82, 91
5 dots - 102
5 gives thirds - 76
5 notes - 86, 89, 106
5 sharps - 108
5 to 4 - 102
5-9 comma third - 83, 84
5-comma interval - 56
5-fold - 115
512 - 60
53 commas - 47, 75, 91, 106, 113
54 - 16, 102
5:25 - 15
5:4 - 102
5:6 - 12, 76, 109
5:8 - 110
5:9 - 109
6 - 16, 77, 85, 102
6 2/3 - 32
6 3/4 - 12
6 fifths - 85
6 major scales - 90
6 octave genesis - 91
6 octaves - 86, 91
6 successive major scales - 89
6 successive minor scales - 89
60 - 16, 25, 102
64 - 16, 102, 105, 106
7 - 12, 75, 77, 103, 106, 107, 118, Plate XXII
7 octaves - 118, Plate XXII
7 original major notes - 89, 103
7, 7, 7, 21, 21, 35 - 77
7-fold - 100, 110
7-fold group three magnitudes - 110
72 resolutions - 115, Plate XVI
720 - 76, 88, 103119, Plate XXIII, Plate XIV
8 - 16, 60, 75, 78, 102
8 comma second - 71, 75, 120, Plate XXVIII
8 commas - 47, 71, 75, 82, 84, 91, 113
8, 5, 9, 8 = 30 commas - 38, 77
8-9 comma third - 82, 84, 120, Plate XXVII
8/15 - 76
80 - 88
80:81 - 61, 88, 94
81 - 88
8192:8201 1/4 - 14
8:15 - 109
8:9 - 99, 105, 109
9 - 15, 16, 37, 75, 105
9 comma interval - 48, 113
9 comma second - 71, 75, 120, Plate XXVIII
9 comma step - 48
9 commas - 47, 48, 71, 75, 82, 84, 91, 106, 113
9 dots - 102
9 times - 105
9, 5, 8, 9 - 77
9, 8, 9, 5 = 31 commas - 38
9-5 comma interval - 48, 83, 84
9-5 comma third - 83
9-6 comma third - 82
9-8 comma interval - 120, Plate XXVIII
9-8 comma third - 82, 83, 84, 120, Plate XXVIII
93 commas - 106
9:10 - 61, 92, 94, 95, 99, 100, 109 (see small tone)
9:16 - 109
9s, two - 77
A - 12, 14, 17, 28, 30, 50, 55, 61, 65, 66, 67, 71, 76, 77, 80, 82, 83, 85, 90, 91, 94, 95, 98, 100, 102, 103, 107, 108, 112
A B - 71
A B C - 83
A B C - 84
A C E - 53, 65, 103, 108
A C F A - 116, Plate XIX
A character - 61
A E C - 104
A major - 90, 91, 117, Plate XXII
A minor - 50, 90, 109, 113, 116, 117, Plate XVII, Plate XVIII, Plate XXII
A natural - 83
A sinks to G - 96
A string - 100
A to G - 95
A# - 62, 90, 107, 108, 109, 120, Plate XXVII
A#6 - 114, Plate XV
A#683 7/16 - 108
A, b, C, d, E - 65
A, C, E chord - 32, 53, 65
A, E and B - 103
A, key of - 107, 112
A, open - 99
A, open second string - 100
A-C - 54
A-E - 103
A0 - 114, Plate XV
A20 - 83
A20 1/4 - 82
A40 - 62, 82, 83, 107
A40 1/2 - 62, 82, 83, 107
A5 - 27, 31, 32, 67, 102, 104
A5/3 - 81
A80 - 53, 81, 82, 83, 84
A80/3 - 81
A81 - 82, 83
A9 - 45
accomplishments - 71
Acoustics - 23
action, mighty - 87
action, power of - 87
active chord - 91
acute harmonics - 7, 17, 59, 87
adding - 48
advancing fifths - 119, Plate XXVII
advancing keys in majors - 83
advancing major scales - 62
aerial roots - 110
aesthetic - 92
aesthetic element - 78
aesthetic principle - 78
affiliate - 66, 73
affiliated sound - 58
affiliation - 66, 70
affinities, law of - 95
affinity - 37, 48, 66, 91, 92, 93, 95, 96
Affinity, attraction of - 92
Affinity, Definition - 63
affinity, generic - 48
affinity, native - 91
Affinity, Tendencies of the Notes form Proximity and - 91
air - 94
air, elastic - 86
air, musical - 91
air, plastic - 87
altar, fire on the - 107
analogy - 99
angle - 27
animal world - 41
answering note - 119, Plate XXIII
apothecary - 81
apotome - 14, 20, 25, 30, 118, 120, Plate XXIII, Plate XXVII
apotome higher - 89, 120
apotome lower - 120
apotome minor - 14, 30, 79, 80, 86, 89, 115, 118, 120, Plate XXIII, Plate XXVII
apotome minor, one comma and the - 86, 115, Plate XVI
apotome scales - 14
Apotome, definition - 25
apotomes and skismas - 20
area - 106
Area of a Key - 106, 107, 130, Plate VI
Area of a Scale - 79, 106, 107
area of a single key - 104
area of an octave - 27
areas as intervals - 107
areas as space - 107
areas of the seconds - 113
areas of the thirds - 113
areas, comparative - 113
arithmetic - 92
arithmetical series - 11, 13
arpeggio'd - 115
arrangement, structure - 106
arrangements - 85
arrows - 103
Art of Music - 10, 33 (see Science of Music)
art senses - 104
ascending evolution - 109
ascending genesis - 42, 43, 64, 66
ascending majors - 62
ascending notes - 11
ascending ratios - 11, 13, 42, 43
ascending scale - 49
assimilation - 70, 87, 101
association - 58
astral heavens - 21, 114
astronomical realm of creation - 39
astronomy - 10, 11, 30, 39, 95
atom - 48, 86, 87
atoms of which music is composed - 20
attitudes - 63, 113, 114
attracted toward the center - 28, 91, 95, 113
attraction - 113
attraction and repose - 91
attraction of affinity - 91, 92, 95
attraction of local proximity - 28, 91, 95
attraction of native affinity - 91, 95
attraction of proximity - 28, 91, 92, 95
attraction, C and G - 95
attraction, F and C - 95
attraction, G and D - 95
attractions of notes - 28, 91, 95
attractive ratios - 95
attracts - 28
audible halo - 78
audible range - 110
audible region, low - 110
audible sphere of vibrations - 39
augmentation from sympathy - 86
Ax - 30
A’s, two - 91
A♭ - 38, 39, 44, 52, 55, 56, 85, 86, 90, 91, 101, 104, 117, 118, Plate XXI, Plate XXIII
A♭ major - 90
A♭ minor - 85
A♭, supplemental - 55
A♮ - 77
B - 17, 29, 30, 31, 38, 39, 43, 44, 46, 52, 54, 55, 61, 66, 67, 76, 77, 81, 82, 83, 84, 90, 91, 95, 100, 101, 103, 107, 108, 109, 111, 117, Plate XXII
B and C♭ - 108
B attracted to C - 98
B C - 71
B character - 61
B D G B - 116, Plate XIX
B is the dual of F - 46
B major - 14, 66, 90, 91
B minor - 39, 90, 91
B soars to C - 96
B to C - 95
B to F - 106
B with 495 - 14
B# - 30, 63, 80, 118, Plate XXII, Plate XXIII
B##### - 108
B, birthplace of - 79
B, D, F - 101
B, D, F A♭, G - 52
B, D, F, A♭ - 55, 101
B, key of - 107
B, tonic of - 94
B-C - 48, 50, 52, 55, 64, 69
B-D-F - 50, 52, 54, 55, 57, 101 (see Minor Triad; triplet)
B1 - 114, Plate XV
B180 - 81
B22 1/2 - 83
B360 - 81, 119, Plate XXIII
B45 - 27, 31, 62, 67, 81, 82, 102, 107
B45 9/16 - 107
B45/3 - 81
B5 - 45
B6 - 114, Plate XV
B720 - 53
B720 - 81, 82, 88
B720/3 - 81
B90 - 62, 81, 82, 83
B91 1/8 - 62
balance - 57, 76, 91, 92, 93, 95, 99
balance beam - 76, 91
balance center - 95
balance, chord of the - 76, 91
balances - 92
balancing - 39
banner - 118, Plate XXIII
bass - 84, 85
BDF - 53
beautiful - 70, 72, 78
Bedford - 93
Beethoven - 34
begetting - 25
begotten, last - 101
bell - 22
Bell, Peter - 37
Bethel - 93
Bible - 59
Bible quote in Greek - 124
bird - 35
Birmingham - 93
birth - 25, 29, 49, 56, 79, 91, 101, 102
birth and life - 101
birth of music - 29
birth of the scales, six octaves required - 102
birth, major - 56
birth, minor - 56
birthplace - 49, 61, 90, 107
birthplace character - 61
birthplace number - 107
birthplace of B - 79, 111
birthplace of chords - 49
black dots - 102
black keys - 44, 80, 85, 104
blending of sympathy - 87
bodies - 96 (see Planet)
bodies, elastic - 87
body, center of - 92
body, elongated uniform - 92
bondage - 34
born, last - 103
borrowing and lending - 111
bottom chord - 81
bottom of the scale - 49
boundary - 34, 35
bow - 92, 96
bowing-guide - 10
brain - 29
Brevia - 74
bright and brighter - 68
brilliancy - 92
Brown, Mr. Colin - 9
buoyancy - 28, 107
Burns - 13
Burrowes - 7
Byron's poem "Loch-na-Garr" - 10
B’s, two - 91
B♭ - 12, 31, 84, 90, 91, 107, 114, Plate XV
B♭ major - 90
B♭ minor - 90
B♭42 2/3 - 62
B♭85 1/3 - 83, 84
C - 45
C - 9, 13, 14, 17, 20, 22, 27, 28, 29, 30, 38, 44, 46, 47, 49, 57, 60, 61, 63, 65, 66, 67, 71, 72, 76, 77, 81, 82, 90, 91, 94, 95, 96, 98, 99, 100, 103, 108, 109, 110, 111, 112, 117, 118, 120, Plate XXI, Plate XXII, Plate XXIII, Plate XXVIII
C and D - 96
C and G, attraction - 95
C character - 61
C D - 103
C D E - 82, 84, 120, Plate XXVIII
C E G - 17, 64, 65, 77, 102, 103, 104, 108
C e g - 96
C E G C - 72
C E ♭ G a C - 72
C E♭ G - 94
C E♭ G B♭ - 94
C F A C - 116, Plate XIX
C in the center - 76
C major - 62, 76, 90, 109, 112, 113, 116, 117, Plate XVII, Plate XVIII, Plate XXII
C minor - 90, 91
C root - 105, 111
C sinks to B - 96
C the dual of E - 46
C to C - 20
C to G - 65
C# - 57, 90, 100, 107, 120, Plate XXVII
C# minor - 90, 91
C####### - 108
C#101 1/4 - 62, 83
C#101 1/4 - 83
C#202 1/2 - 83, 107
C#50 1/8 - 83
C, D, E, F - 63
C, d, E, f, G - 65
C, E, G = 31 commas - 38
C, E, G, birthplace - 49
C, tonic of - 94
C0 - 114, Plate XV
C1 - 114, Plate XV
C200 - 107
C24 - 82, 83, 110, 118, Plate XXII
C256 - 60
C3 - 31, 32, 36, 53, 66, 82, 102, 103
C47 11/27 - 62
C48 - 62
C48 - 82, 83
C6 - 104
C9 - 45
C96 - 62, 82, 84
cadence - 70, 71
calculating the ratios - 22
calculation, method - 22
capacity - 34
cause - 29, 60
causes, three - 60
CEG - 53, 82
center - 18, 32, 76, 97, 98, 99, 100, 102, 103, 107, 113
center chord - 32, 91, 104
center chord, tonic - 91, 104
center circle - 102
center fifth - 38
center is neutral - 107
center of action - 23
center of attraction and repose - 91
center of balance - 76, 95
center of forces - 95
center of gravity - 18, 27, 32, 82, 92, 93, 105, 118, Plate XXIV
center of gravity and levity - 95
center of gravity of the musical system of vibrations - 118, Plate XXIV
center of oscillation - 18, 92, 93, 105
center of percussion - 93
center of spheres - 92
center of the body - 92
center of the chords of harmony - 108
center of the diatonic triplet - 57
center of the dual system - 28, 32, 43, 81, 98
center of the dual system - 28, 32, 81
center of the earth - 27
center of the musical system - 27
center of the second - 57
center of the system - 98, 108
center of the third chromatic G - 57
center of the tonic chords - 28, 36, 95, 96, 99, 100, 107, 113
center of tonic major - 99
center of tonic minor - 99
center of velocity - 18, 92, 93, 105
center, above - 99
center, attracted to the - 113
center, away from - 99
center, below - 99
center, common - 114
center, common of the twelve scales - 113
center, Janus-faced - 55
center, radial lines - 103
center, tendency towards the- 107
center, tonic - 95, 96, 113
centered at two D’s - 103
centers act conjointly - 93
centers act simultaneously - 93
centers, sphere of - 92
centers, three - 92, 105
centers, three in a uniform pendulum - 105
centers, three primary - 92
central balance beam - 76
central D’s - 103
central line of rest or equilibrium - 21
central note A - 57
central note D - 56, 103
central note G - 57
centrifugal - 27, 28, 29, 37
centrifugal force - 27, 28, 29, 37, 61, 95
centrifugal tendencies of the notes of the subdominant - 29
centripetal - 27
Chapter II - 22
Chapter III - 26
Chapter IX - 70
Chapter VIII - 64
Chapter X - 74
character - 24, 26, 27, 28, 29, 36, 37, 54, 57, 60, 61, 69, 81, 95, 111, 119, Plate XXIII
character of individual notes - 61, 81
character, birthplace - 61
character, cosmopolitan - 73
character, dominant - 72
character, fractions - 75
character, imperial - 57
character, individual of the ratio - 106
character, modifying - 98
character, resolving - 98
Charles Child Spencer - 22
charming effects - 92
chemical combinations - 48
chemical elective motions - 39
chemical elements - 29, 38, 95
chemistry - 81
chief sound - 59
child - 35
Chladni - 21
choice - 92
chorale - 93
chord - 20, 26, 31, 32, 35, 36, 37, 38, 44, 51, 59, 61, 64, 69, 76, 77, 79, 80, 88, 92, 93, 94, 95, 98, 110
chord of chords - 17, 18, 110
chord of d F A C - 81
chord of the balance - 76
chord of the balance of the system - 76
chord of the dominant - 93
chord of the key - 76
chord of the major - 31
chord of the minor - 32
chord positions - 84
chord progression - 54
chord resolution - 96, 112
chord scale - 67, 69, 73, 79, 88, 120, Plate XXIX
chord second - 48
chord society - 71
chord third - 48, 67
chord, 4-note - 49, 52, 54, 55, 73
chord, bottom - 81
chord, center - 32, 91, 104
chord, chromatic - 69, 116, 121, Plate XVII, Plate XVIII, Plate XXIX
chord, common - 48
chord, compound - 55, 110, 112
chord, dominant - 61, 67, 91, 96, 98, 104 (see dominant chord)
chord, double compound - 70
chord, first - 66, 103
chord, first, top of - 103
chord, great complex - 104, 111
chord, intervening - 101
chord, lost - 103
chord, lowest - 104
chord, major - 52, 103, 112
chord, major tonic - 64
chord, middle of - 67, 99, 100
chord, minor - 67
chord, root - 96
chord, second - 66
chord, simple - 110
chord, subdominant - 61, 96, 98, 104 (see subdominant chord)
chord, terminal - 110
chord, third - 65, 66, 67
chord, three different notes - 96
chord, three times three - 103, 110 (see three times three chord)
chord, thrice-threefold - 103
chord, tonic - 36, 64, 65, 71, 96, 97, 98, 104, 107, 112 (see tonic chord)
chord, top - 81, 96
chord, upper - 104
chord-scale - 54, 67, 68, 69, 76, 77, 81, 82, 83, 120, Plate XXIX
chord-scale, major - 121, Plate XXIX
chord-scale, middle of the - 120, Plate XXIX
chord-scale, minor - 121, Plate XXIX
chord-society - 71
chords - 70, 91, 103, 120, Plate XXIX
CHORDS AND KEYS, GROWTH-LIKE CONTINUITY OF - 110, Plate X
chords grow out of keys - 110
chords in a key - 63
chords in the primary, secondary, and tertiary manners, 48 - 115, Plate XVI
Chords of Harmony - 68, 104, 108, Plate III
Chords of Harmony, center of - 108
chords of music - 17, 24, 64, 70, 88, 104
chords of the major keys - 119, Plate XXVI
chords of the major mode of the scale, three - 121, Plate - XXX
chords of the major scales - 108
chords of the scale - 82
chords tend towards chords - 92
chords, birthplace - 49
chords, chord of - 110
Chords, Chromatic System of - 112, 115
chords, chromatic three - 104, 119, Plate XXVI
chords, comma-measured - 104
chords, compound - 71, 79
chords, diatonic - 70, 73
chords, diatonic, death of - 101
chords, effects of - 29, 95
chords, generating - 68
Chords, Keys and their - 108, Plate VII
chords, kinship of - 112
chords, major system, tops and roots - 103
chords, middles - 103
chords, middles of the three, minor - 103
chords, minor - 103
chords, perfect - 101
chords, resolution - 36, 112
chords, roots and tops - 54
chords, series - 48
chords, simple - 79
chords, six diatonic - 68, 104
chords, society of - 110
chords, subdominant - 71
chords, succession - 68
chords, successive - 97
chords, three in Music - 105
chords, three of harmony - 108
chords, three Roots of the three - 102
chords, three simple - 70, 76, 96
chords, tonic - 94, 115
chromatic - 35, 49, 57, 69, 101
Chromatic a "System" as truly as the Diatonic - 115
chromatic chord - 9, 51, 52, 53, 54, 55, 56, 57, 69, 72, 73, 94, 101, 104, 114, 115, 116, 119, 121, 139, Plate XV, Plate XVI, Plate XVII, Plate XVIII, Plate XIX, Plate XXIX
Chromatic Chord a Universal Joint for Resolution - 51
CHROMATIC CHORD IN TWO-SEMITONIC PREOGRESSION - 116, Plate XIX
chromatic chord precedes a diatonic chord - 51
chromatic chord system - 55
chromatic chord, diatonic germ of - 104
chromatic chord, first - 57
chromatic chord, four notes - 52
chromatic chord, full - 52, 101
chromatic chord, primary - 51
chromatic chord, secondary - 52
chromatic chord, third - 57
chromatic chords - 56, 69, 72, 94, 114, 115, Plate XV, Plate XVI
chromatic chords and resolutions - 9
CHROMATIC CHORDS RESOLVING - 119, Plate XXVI
CHROMATIC CHORDS, CHROMATIC SCALE AND THE - 114, Plate XV
chromatic chords, compounding - 73
chromatic chords, number of - 72
chromatic chords, primitive - 57
CHROMATIC CHORDS, SYSTEM OF THE THREE PRIMITIVE - 115
chromatic chords, three - 72, 94, 104
chromatic interval - 55, 69
chromatic phase of music - 101
chromatic resolutions - 115, 116, 141, 142, 143, 144, 150, Plate XVI, Plate XVII, Plate XVIII, Plate XIX, Plate XX, Plate XXVI
chromatic resolutions, 48 - 115, 116, Plate XVI, Plate XVII, Plate XVIII
chromatic resolutions, Major - Plate XVII
chromatic resolutions, Minor - Plate XVIII
chromatic scale - 35, 36, 47, 48, 56, 57, 69, 72, 108, 114, 119, 120, Plate XV, Plate XXVII
CHROMATIC SCALE AND THE CHROMATIC CHORDS - 114, Plate XV
chromatic scale of twelve equal semitones - 36, 56, 69, 108, 120, Plate XXVII
Chromatic Scale, Euler’s Errors in producing the - 107, 108
chromatic succession - 68
Chromatic system - 9, 35, 47, 48, 49, 50, 51, 57, 101
Chromatic System of Chords - 9, 51, 52, 54, 57, 101, 112
Chromatic System of music - 9, 35, 51
chromatic treatise - 69
chromatic triad - 54
chromatic, definition - 40
chromatic, threefoldness - 35
circle - 17, 18, 27, 38, 63, 76, 79, 86, 89, 91, 102, 106, 119, Plate XXIII
circle and square - 106
circle of keys - 63, 118, Plate XXIII
circle of the twelve - 63, 115
circle of twelve fifths - 74
circle, center - 102
circle, degrees of - 76, 81, 102, 119, Plate XXIII
circle, half of the - 103
circle, proportionate degrees of - 102
circle, quarter of the - 103
circles of oscillation, 25 - 86
circles of vibrations - 17, 18
circles of vibrations, 25 - 86
circuit of the common chords of the major and its relative minor - 53
circular lines - 102
circular stave - 116, Plate XVII, Plate XVIII
clang-farbe - 78
Classification of Intervals - 109, 133, Plate IX
Close - 63, 117, Plate XXI
Closed System of the Twelve Keys - 30
coincidences - 104, 118, Plate XXII
coincidences of the pendulums - 104
column - 114
combinations - 34, 37, 87, 91, 103
combinations, harmonic - 91
comma - 8, 12, 14, 20, 25, 30, 38, 47, 48, 61, 62, 63, 67, 71, 75, 76, 77, 79, 80, 81, 82, 83, 84, 85, 86, 89, 94, 99, 100, 103, 104, 107, 108, 109, 110, 112, 113, 114, 115, 117, 118, 119, 120, 151, Plate XVI, Plate XXII, Plate XXIII, Plate XXVII, Plate XXVIII
comma and the apotome minor, one - 86, 115, Plate XVI
comma difference - 94
comma higher second - 113
comma interval - 48
comma measurement - 75, 104, 120
comma of difference - 88
comma of vacant space is music's center of gravity - 82
comma space - 118, Plate XXIV
comma, 1/4 - 48
Comma, definition - 25
comma, one - 80, 94
comma, original - 86
comma, ratio of the - 88
comma, schism - 75
comma-advance - 117, Plate XXII
comma-measured chords - 104
comma-measures of the various thirds - 113
commas, 2 - 85
commas, 30 - 38
commas, 31 - 38, 118, Plate XXIII
commas, 4 - 62, 94, 114
commas, 5 - 75, 91, 106
commas, 53 - 47, 75, 91, 106, 113
commas, 8 - 71, 75, 106, 113
commas, 9 - 71, 75, 106, 113
commas, 93 - 106
commas, octave divided into - 104
commensurable rule - 75
common center - 113, 114
common center of the twelve scales - 113
common chord - 48, 53
common chord, diatonic - 55
common division - 47
common limit of the two vibrations - 23
Common Notation - 115
common notes - 68
common root - 20
common sense - 18
comparison and combination of motions - 15, 16
comparison and combination of quantities - 15, 16
comparison and combination of the three primary ratios - 16
compass - 119, Plate XXVII
complete vibration - 22, 23
complex - 18, 44
complex chord, great - 111
complex ratio - 95
complex sound - 18
complexity - 60
complexity, degrees of - 60, 106
component elements - 58
composers - 34, 51
composition - 69, 78, 92, 93, 94, 106
Composition, Duality as a Test-Agent in - 121, Plate XXIX
compound - 18, 66, 70, 71, 79, 86, 111, 120, Plate XXIX
compound chord - 38, 48, 55, 70, 71, 72, 79, 86, 97, 98, 110, 111, 112
compound D. T. - 94
compound dominant - 111, 112, Plate XI
compound natural scale - 79
compound pendulum - 18
compound scale - 64, 65 (see Diatonic scale)
compound subdominant - 94, 112, 122
Compound Tonic - 110, Plate XXV
compounded - 81, 86
compounded dominant - 98
compounded subdominant - 98
compounding chord - 72, 73, 112, Plate XXIX
compounding chromatic chords - 73
compounding method - 65
compounding process - 72
compounds - 81
compression and expansion - 23, 24
conception, dual - 42
concert pitch - 110, 117, Plate XXII
concert-pitch-number of F - 117, Plate XXII
concordant - 60
condiments, musical - 69
condition, mortal - 110
conditions of music - 33
confusion - 38
conjunctions - 30
consciousness - 42
consecutive octaves, 4 - 103
consonance - 75
constitution of musical sounds - 34, 37
contiguous keys, 94
continuity - 20, 23, 24, 25, 37, 48, 49, 56, 111, 112, Plate X
continuity and duality - 24
Continuity of Chords and Keys, Growth-like - 110, 134, Plate X
Continuity, definition - 25
continuity, degree of - 112
Continuity, Law of - 77
continuity, maintenance of - 49
continuous genesis - 117, Plate XXII
contraction and expansion - 23
contrast - 61, 98, 104
contrast, causes of differences - 61
contrast, degrees of - 60, 61
converging force - 36
copal varnish - 85
cosmical law - 87
cosmopolitan character - 73
cosmos - 87
countenance - 99
Cousin, Victor - 42
Creation - 39, 41, 44, 60, 66, 67, 70, 71, 78
creation days - 67, 79
creation, genesis of - 110
creation, six days of - 67, 79
creative power in music - 35
Creator - 78
creepers of the strawberry - 110
creeping stem - 110
cube - 26, 31
cube of 3 - 12
cube root of 3 - 103
cube root of 5 - 103
current - 39
curve, form of - 104
curved lines - 108, 115, 121, Plate XXX
Cx - 30
cycle - 118, Plate XXIII
cycle of keys, first - 89
cycle of keys, second - 89
cycle of keys, third - 89
cycle of the mathematical scales - 29
Cycle of the Twelve Major Scales - Plate XXI
Cycle of the Twelve Minor Scales - Plate XXI
cycle of twelve - 74
cycles - 115, Plate XVI
cycles of the distances - 30
cycles of the moon - 39
cycles of the periods - 30
cycles, never ending - 34
C♭ - 90, 108
C♮ - 80
D - 11, 12, 14, 17, 28, 30, 31, 39, 44, 45, 50, 53, 54, 55, 56, 61, 63, 67, 76, 77, 81, 82, 83, 84, 85, 86, 88, 90, 94, 95, 96, 99, 100, 101, 103, 104, 106, 107, 109, 110, 111, 112, 113, 117, 120, Plate XXII, Plate XXVIII
D character - 61
D F A - 71, 77, 103, 104, 108
d F A C - 81
D f a c - 81
D f# a - 110
D G B D - 82, 116, Plate XIX
D major - 32, 43, 46, 61, 85, 90, 91, 106, 120, Plate XXVIII
D minor - 32, 43, 46, 85, 90, 91, 106, 113, 120, Plate XXVIII
D minor the dual of D major - 46, 106
D of the major - 106
D of the minor - 106
D soars to E - 96
D to E - 100
D to F (D-F) 12, 31, 38, 54
D top of dominant - 76
D# - 62, 89, 90, 100, 107, 115, 116, 117, 120, Plate XVI, Plate XVII, Plate XVIII, Plate XXI, Plate XXVII
D# minor - 90, 91
D#227 13/16 - 107
D#5 - 114, Plate XV
D, 8, 9, 5, 9 - 104
D, A, E - 108
D, central note - 56, 85
D, duality - 38, 39, 43, 53, 54, 86
d, f, a, 8, 5, 9, 8 = 30 commas - 38
D, F, A, C, subdominant sixth - 49
D, key of - 107
D, third finger on second string - 100
D-E, interval - 113
D.T. - 94
D1 2/3 - 32, 81
D106 2/3 - 83, 84
D108 - 82, 83
D225 - 107
D26 2/3 - 38, 43, 54, 66, 81, 82, 83, 85, 88, 117, Plate XXII
D26 2/3, minor - 85
D27 - 31, 32, 38, 43, 54, 55, 62, 66, 81, 82, 85, 88, 102, 103, 107
D27 major - 85
D53 1/2 - 62
D53 1/3 - 83, 84, 109
D54 - 62, 82, 83, 109
D720 - 81
D8 - 45
danger-signal - 38
days of creation - 67, 79
days, seven of the week - 110
death - 42
death of diatonic chords - 101
deep-seatedness of Duality in Music - 88
defect - 38
Definition of Musical Vibration - 22
Definitions - 63
degree of continuity - 112
degree of contrast - 61, 111
degree of such difference - 109
degrees of centrifugal force - 37, 95
degrees of complexity - 60, 106
degrees of development - 95
degrees of gravity - 95
degrees of levity - 95
degrees of the circle - 76, 81, 102, 119
departure, point of - 119, Plate XXIII
descending evolution - 109
descending genesis - 42, 43, 46, 64
descending minors - 62
descending process - 84
descending ratios - 13, 42,
Desultory Memoranda - 74
Deut. xvii, 6. - 42
development of the scales minor and major - 109
development, degrees of - 95
DFA - 53
diagrams - 111
diatonic - 34, 51, 53, 54, 57, 69, 101
diatonic chord - 51, 55, 70, 73, 101, 104
diatonic chord precedes another diatonic chord - 51
diatonic chord scale - 73
diatonic chords, death of - 101
diatonic chords, number of - 70
diatonic chords, six - 104
diatonic chromatic triad - 54
diatonic common chord - 55
diatonic composition - 69
diatonic genesis - 101
diatonic germ - 52, 54, 57, 104
diatonic germ of the chromatic chord - 52, 104
diatonic key - 54
diatonic minor - 101
diatonic minor triad - 53
diatonic minor, top of - 101
diatonic mode - 64
diatonic octave - 34
Diatonic Octave of seven notes - 34
diatonic progression of chords - 54
DIATONIC RESOLUTIONS, SIMPLE AND COMPOUND - 111, 135, Plate XI
Diatonic scale - 19, 21, 35, 36, 42, 45, 47, 51, 53, 64, 72, 73, 104
Diatonic Semitones - 50, 52
diatonic succession of chords - 68
diatonic system - 9, 50, 51, 101
Diatonic System of Musical Vibrations - 57, 102
diatonic three - 57
Diatonic to Chromatic - 101
diatonic tonic chords - 51
diatonic triplet - 57
Diatonic, Chromatic a "System" as truly as the - 115
Dictation - 36
dictator - 36
difference - 85, 87, 88, 106
difference number - 36
difference of two - 36, 76
Difference Sounds - 60
Difference Tones - 60
difference, comma - 94
difference, degree of - 109
DIFFERENTIAL OSCILLATIONS, PROXIMATE AND - 105, 129, Plate V
differential period - 106
differential periods, seven - 106
differential way - 105
diminished seventh - 51, 52
direct generation - 67
Direct Relation - Plate XII
direction of the centre - 28
direction, genetic - 65
directly related - 106
discord - 8, 81
discordant interval - 81
disjunct part - 111
disorder - 13
distance and time - 15, 24
distance, Law of - 96
distances - 30, 95, 107
distinctive note - 83
Distinctive Note of Major and Minor - 117
disturbance of equilibrium - 24
divergence of pendulum swings - 105
diversity, of music - 119, Plate XXIII
divide - 81
divide downward - 81
Divide from the top chord - 81
Divide from the top of the minor dominant - 81
divisibility of twelve - 35
division of notes - 47
division of the minor tops - 67
division, generated by - 67
Do - 83
Dominance of the Law of Position - 29
dominant - 14, 17, 28, 29, 31, 37, 38, 43, 46, 49, 50, 53, 57, 62, 67, 71, 72, 76, 82, 83, 84, 85, 91, 93, 94, 95, 96, 97, 98, 104, 105, 106, 108, 110, 111, 112, 114, 120, 121, Plate IV, Plate VI, Plate XV, Plate XXIX
dominant B - 46, 95
dominant character - 72
dominant chord - 29, 49, 53, 57, 61, 67, 68, 71, 72, 80, 91, 93, 95, 96, 98, 104, 105, 110, 111, 112, 115, Plate XI, Plate XXIX
dominant chord of G B D f - 80
Dominant Chord Ratio - Plate XXX
dominant chord, definition - 105
dominant chord, top of - 110
dominant chords of the diatonic scale - 53
dominant chromatic chord - 53
dominant converts to tonic - 93
dominant D - 95
dominant eleventh - 72
dominant G, root of - 105
dominant GBD - 82
dominant is the fifth above - 91
dominant major - 28, 38, 43, 54, 56, 62, 67, 101, 121, Plate XXV, Plate XXIX
dominant major, middle of - 101
dominant masculine, middle of - 117, Plate XXII
dominant middle in the majors - 62
dominant minor - 38, 43, 54, 55, 65, 101, 121, Plate XXIX
dominant ninth - 70, 72, 81
dominant of A0 - 114, Plate XV
Dominant of C - 31
Dominant of D - 14
dominant of the new key - 94
dominant seventh - 49, 52, 54, 55, 70, 71, 72, 79, 98, 110, 111, Plate XI
dominant top of key of C - 62
dominant, chord of harmony - 108
dominant, compounded - 98, 112
Dominant, Definition - 63
dominant, effects of - 29, 95
dominant, feminine , top of the - 117, Plate XXII
dominant, fifth - 106
dominant, major top of - 101, 103
dominant, middle of the - 62, 84, 95, 97, 112, 120, Plate XXIX
dominant, root of - 71, 101, 111, 112
dominant, top of the - 71, 76, 82, 83, 84, 93, 95, 97, 98, 101, 103, 111, 112, 120, Plate XXIX
dominant, top of the separated - 120, Plate XXIX
dominion of Nature - 79
Dorian mode - 45
dots - 20, 102
dots, 15 - 102
dots, 27 - 102
dots, 45 - 102
dots, 5 - 102
dots, 9 - 102
dots, double number of - 102
double centers - Plate XXIV
double compound chords - 70
double compound pendulum - 18
double expedient - 114, Plate XV
double number of dots - 102
double root - Plate XXIV
double star - 32
double stars - 114
Double Table of Mathematical Intervals and Keys - 89
double vibrations - 19, 21, 22, 23
doubled - 42
doubling - 26
Dougald Carmichael Ramsay - 7
downward direction - 68
downward tendencies - 28, 95
dream - 42
dressed lathe of pine - 92, 93
dropping ash - 67
drowsy - 84
drum of the ear - 104
dual - 56, 57
dual A - 57
Dual conception - 42
Dual Genesis of the Two Diatonic Semitones - 50
dual genetic scale - 113
dual notes - 44, 81, 103, 106, Plate XXVIII
dual numbers - 119, Plate XXIII
Dual Numbers and Notes - Plate XXIV
dual of C# is E♭ - 57
dual of the infinite - 42
dual outgrowth - 64
dual places - Plate XXIX
Dual Ratios - Plate XXIV
dual system - 32, 38, 46, 81, 119, Plate XXIII
dual system of major and minor - 38
dual system of music - 81, 82
dualities - 42
duality - 8, 9, 13, 24, 25, 37, 38, 39, 41, 42, 43, 44, 45, 46, 57, 88, 90, 106, 112, 118, 120, 121, Plate XXIV, Plate XXVIII, Plate XXIX
Duality as a Test-Agent in Composition - 121, Plate XXIX
Duality as in the Greek Modes - 46
Duality Direct - Plate XXVIII
Duality in Hebrew Poetical Parallelism - 41
duality in music - 88
Duality in Quantities of Strings and Vibrations - 44
Duality in the Genesis of Music's Scales - 43
duality in unity - 114
DUALITY IN VARIOUS SPHERES, OPERATIONS OF - 120, 153, Plate XXIX
duality inverse - Plate XXVIII
duality lines of indication - 46
Duality of Major and Minor - 109
duality of music - 46, 88, 118, Plate XXIV
duality of response - 112
duality of the musical system of vibrations - 118, Plate XXIV
duality of the notes - 118, Plate XXIV
duality of the notes - 46
Duality, definition - 25
duality, law of - (see Law of Duality)
duality, music - 46
duality, mystery of - 81
duality, one system - 50
duality, see Law of Duality
duality, self - 57, 101
duality, symmetry - 46
duality, two - 42
Duals - 46, Plate II
Duals of F - 44
dull - 84
Dx - 30
D’s, centered at - 103
D’s, two - 32, 39, 43, 53, 67, 71, 82, 86, 88, 103
D’s, two - 32, 39, 43, 53, 67, 71, 82, 86, 88, 90, 103, 113, 118, 120, Plate XXIII, Plate XXVIII
D♭ - 91, 108
D♭ major - 90
E - 14, 17, 27, 28, 31, 44, 61, 63, 65, 66, 67, 76, 77, 82, 83, 90, 95, 100, 103, 107, 111, 112, 113, 120, Plate XXVII, Plate XXVIII
E - 30
E character - 61
E D - 103
E D C - 120, Plate XXVIII
E F G - 83, 84
E F# G - 83
E G B - 53, 104, 108
E G C E - 72
E major - 90, 91
E minor - 62, 90 112, 115
E open first string - 99, 100
E same in major and minor - 31
E six flats minor - 80
E string - 100
E to A - 65
E ♭ G a b C d E - 72
E# - 30, 79, 90, 115
E########### - 108
E, G, B chord - 32, 65
E, key of - 107, 108, 117, Plate XXII
E-F - 48, 50, 52, 55, 64, 69, 71
E-G - 54
E0 - 114, Plate XV
E120 - 82
E121 1/2 - 83
E15 - 17, 31, 32, 67, 105
E15/3 - 81
E240 - 53, 81, 82
E240/3 - 81
E30 - 82, 83, 107
E30 3/8 - 83, 107
E5 - 45
E60 - 62, 82, 83, 64
E60 3/4 - 62, 83
ear - 9, 17, 18, 19, 20, 22, 28, 34, 36, 39, 40, 45, 46, 48, 58, 59, 78, 86, 91, 104, 106, 109, 114
earshot - 110
earth - 82, 110
earth, center of - 27
Earth, Maker of Heaven and - 103
Eastern poetry - 41
Eaton - 93
Ecclesiasticus xiii, 24 - 24, 124, Plate IX
economy of Nature - 9, 31, 44
edges of the stream - 84
effect in the ear - 106
effect of dominant - 95
effect of subdominant - 95
effect of tonic - 95
effect, contrast - 014
Effect, definition - 28, 29
effect, diversity of - 111
effect, drowsy - 84
effect, dull - 84
effect, dull heavy - 72, 84
effect, far away - 72
effect, good - 84
effect, monotonous - 84
effect, most effective - 84
effect, musical - 68, 72
effect, nice - 84
effect, of positions - 72
effect, pretty - 84
effect, puzzling - 72
effect, soft - 116, Plate XIX
effect, solid - 77
effect, specific - 98
effect, subtle - 116, Plate XIX
effect, united - 72
effect, unity of - 110
effect, wild - 84
effects of chords - 95
effects of notes - 29, 34, 37, 48, 51, 72, 73, 77, 95, 111
Effects of Position of Notes in Chords - 84
effects, artistic - 29, 69
effects, charming - 92
effects, contrasting - 28, 61, 72
eighth, position - 29
elastic bodies - 16, 23, 87
elastic string - 22, 24, 25
elastic vibrations, rapid region of - 106
elastic, perfect - 24
election of numbers - 26
elective motions - 39
electric currents - 39
element, aesthetic - 78
elemental - 25
elements - 103
elements of human consciousness - 42
elements of music - 7, 37, 38, 51, 58, 67, 68, 70, 79, 101
Elements of Music - 7, 70
elements, birth of - 79
elements, chemical - 29, 38, 87, 95
elements, component - 58
elements, ultimate - 39
eleven flats - 115
eleven proximate periods - 106
eleven proximate periods - 106
eleven sharps - 115
eleventh, dominant - 72
ellipse - 108, 115, 116, 117, Plate XXI
ellipses, festoous of - 115
elongated uniform body - 92
Emerson - 22
Encyclopedia Britannica - 7, 11, 12
environment - 78
equalized scale of twelve semitones - 35
equilibrium - 21, 24, 91
equilibrium, harmony finds - 91
equilibrium, position of - 24
equilibrium, tonic finds harmony in - 91
ERRATUM - 103
error - 99, 107
errors in judgment - 99
errors in tone - 99
Errors, Euler’s, in producing the Chromatic Scale - 107
Essence, Musical - 108
esthetic - 92
ether - 19
Euclid - 45
Euler's Errors in producing the Chromatic Scale - 107
Euler, Leonard - 8, 9, 35, 107, 108
Euler, letters to a German Princess on his theory of music - 107
Euler’s chromatic scale - 108
evil - 45
evolution - 56, 109
Evolution of Advancing Scales - 83
Evolution of the Twelve Scales a thing of Life - 110
evolution, ascending - 109
evolution, descending - 109
evolution, mathematical - 109
Excelsior - 118, Plate XXIII
excursion - 24, 25
expansion - 24
expatriation - 101
EXPLANATION OF PLATES - 102
expression - 35
extension of the harmonics to six octaves - 111
extreme sharp second - 51, 52
extremities of the system - 97
eye - 9, 45, 102, 104, 106
E♭ - 57, 80, 89, 90, 91, 94, 115, 116, 117, Plate XVI, Plate XVII, Plate XVIII, Plate XXI
E♭ G B ♭ - 94
E♭ major - 90, 94
E♭ minor - 52, 80, 85
E♭56 8/9 - 62
F - 12, 13, 14, 17, 20, 28, 30, 31, 32, 38, 44, 46, 49, 54, 55, 61, 63, 66, 67, 76, 77, 79, 80, 81, 82, 83, 85, 90, 91, 95, 96, 98, 100, 101, 102, 103, 104, 108, 110, 111, 117, Plate XXII
F A C - 17, 61, 65, 82, 95, 102, 104, 108
F a c - 96
F a C e G b D - 110
F A C F - 116, Plate XIX
F a c f, G e g e, G b d g - 110
F a c, C e g, G b d - 110
F and C, attraction - 95
F and G - 96
F and G - 96
F character - 61
F F C A - 121, Plate XXX
F G - 71
F G A - 84
F genetic root of all - 101
F major - 39, 43, 90, 91, 113, 115
F minor - 14, 66, 90
F root - 105
F root of subdominant - 105
F sinks to E - 96
F six sharps major - 80
F to B - 61
F to F - 20
F# - 12, 30, 47, 62, 77, 80, 83, 89, 90, 100, 107, 108, 110, 112, 114, 115, 116, 117, 120, Plate XV, Plate XVI, Plate XVII, Plate XVIII, Plate XXI, Plate XXVII
F# and G♭ - 108
F# major - 85, 91
F# minor - 90, 91
F###### - 108
F#,# - 62, 63
F#135 - 62, 82, 107, 108
F#136 11/16 - 108
F#185 - 82
F#2 - 114, Plate XV
F#33 3/4 - 82
F#67 1/2 - 62, 82, 83
F, A, C = 31 commas - 38
F, A, C, birthplace - 49
F, A, C, E, G - 103
F, C, G - 108
F, C, G and D - 103
F, concert-pitch-number - 117, Plate XXII
F, errors - 13
F, genesis of the scale - 108
F, sound - 17
F, the root of the Subdominant - 9, 49
F, tonic of - 94
F-A♭ - 55
F-C - 103
F0 - 114, Plate XV
F1 - 31, 32, 53, 66, 81, 82, 88, 102, 103, 104, 105, 110, 117, 119, 121, Plate XXII, Plate XXIII, Plate XXX
F12 - 114, Plate XV
F2 - 36, 102, 119, Plate XXIII
F32 - 82, 83
F4 - 36, 102, 104
F64 - 62, 82, 83, 84, 104
F72 - 83
F9 - 45
FAC - 53, 77
FAC, subdominant - 49
Fairbairn - 7
fall - 68
falling bodies - 15
falling projectile - 104
families - 20
family of keys - 20
family of scales - 20
family, major - 103
feelings - 20, 70
fellowship - 71, 93
fellowship of keys - 93
feminine and masculine - 50, 76, 106, 117, Plate XXII
feminine dominant, top of the - 117, Plate XXII
feminine mode - 66, 67, 76, 106, 117, 119, Plate XXII, Plate XXIII (see Minor Mode)
festoous of ellipses - 115
fifteenth - 59
fifteenth fifths and a minor third - 80
fifth - 8, 12, 14, 24, 25, 26, 29, 30, 31, 32, 35, 36, 38, 39, 52, 53, 60, 61, 62, 63, 64, 65, 66, 68, 75, 76, 77, 78, 79, 82, 83, 84, 91, 95, 96, 102, 104, 106, 107, 110, 113, 114, 115, 116, 117, 118, 119, Plate XVI, Plate XXI, Plate XXIII, Plate XXVII
fifth - third - 77
fifth above - 91, 95
fifth B to F - 106
fifth below - 63, 91, 95
fifth from D to A - 12
fifth line - 102
fifth octave - 66
fifth, a comma less - 77
fifth, downward - 68
fifth, fourth - 38, 77, 107
fifth, harmonic - 38
fifth, imperfect - 52, 106
fifth, major - 103
fifth, middle, is the tonic - 106
fifth, minor - 103
fifth, minor scale of the - 65
fifth, natural scale of - 64, 66
fifth, root of - 97
fifth, three - 38
fifth, twelfth - 63, 114
fifth, upward - 62, 68
fifths - 107, 117, Plate XXI
fifths contain thirds - 68
fifths of chords - 31, 32
fifths of the minor - 68
fifths, advancing - 119, Plate XXVII
fifths, fifteen - 80
fifths, hemisphere of the - 106, 113
fifths, perfect - 75
fifths, produced by 3 - 107
fifths, series - 84
fifths, seven - 110
fifths, six - 66, 85
fifths, three - 66, 76
fifths, three - subdominant, tonic, and dominant - 106
Fifths, three which constitute the Scale - 106
fifths, twelve - 35, 39, 80, 114, 118, Plate XXII
fifths, twelve times - 29, 114
fifths, upward - 68
Fig. 1 - 118, 120, Plate IV, Plate XXIII, Plate XXVIII, Plate XXIX
Fig. 2 - 120, Plate IV, Plate XXIII, Plate XXVIII
Fig. 3 - 49, 120, Plate IV, Plate XXIII, Plate XXVIII
Fig. 4 - 121, Plate IV, Plate XXIX
finger - 99, 117, Plate XXII
finger, fourth - 100
finger, index - 117, Plate XXII
fingering, violin - 99, 100
finite - 41
fire on the altar - 107
first chord - 49
first chord, top note - 49, 103
First Chromatic Chord - 57, Plate XIX, Plate XX
first combination - 17
first comparison - 15, 16
first condition - 15
first cycle of keys - 89
first days - 79
first edition - 49
first note of subdominant - 72
first octave - 17
first position - 22, 25, 84
first power - 26, 27, 28, 29, 31, 37
first power of 3 - 37
first power of 5 - 37, 95
first quarter group - 103
first ratio - 15
first scale - 14, 30, 48
first series - 86
first string - 100
first, top of - 97
five and a-half octaves - 17
five circles - 18
five notes - 86
five octaves - 17
five senses, scale of man's - 86
fixed keys - 109
fixed ratios - 35
flat - 14, 43, 44, 54, 55, 56, 62, 63, 84, 88, 89, 90, 91, 94, 108, 109, 114, 115, 116, 117, 118, 119, 151, Plate XVII, Plate XVIII, Plate XXI, Plate XXIII, Plate XXVII
flat phase - 120, Plate XXVII
flat sixth - 113
flats minor - 80
flats, eleven - 115
flats, keys in - 113
flats, sharps and, twelve - 114, Plate XV
force - 22, 36, 37, 95
force of gravity - 27, 28
force of restitution - 24
force, centrifugal - 27, 28, 29, 36, 61, 95
force, multiplication of - 86
forces, balancing - 95
forces, musical - 27, 86
forces, resolving - 87
forces, two - 95
form - 27, 35, 37, 49, 55, 56, 71, 90, 92, 104, 114, 116, Plate XVII, Plate XVIII
form Proximity and Affinity, Tendencies of the Notes - 91
form, good - 85
form, major - 55, 68, 104, 116, Plate XVII, Plate XVIII
form, minor - 55, 68, 104, 116, Plate XVII, Plate XVIII
form, symmetrical - 79
form, two-fold - 56
foundation - 31
four - 63
four circles - 17, 18
four commas - 62, 94
four keys - 62, 63
four major keys - 14
four minor keys - 14
four minor thirds - 115
four notes in a chromatic chord - 52, 63
four octaves - 110
four pendulums - 16
four sevenths - 14
four-foldness - 104
four-note chord - 63
fourteen chords - 70
fourteenth key - 115, Plate XVI
fourth - 61, 94, 95, 109, 110, 117, Plate XXII
fourth fifth - 38, 77, 107
fourth finger - 100
fourth octave - 17, 22
fourth of the minor - 109, 113
fourth, major - 61
fourth, minor - 117, Plate XXII
fourth, subdominant - 70
fourth-fifth major - 77, 78
fourths - 117, Plate XXII
fourths, seven corresponding - 110
fraction - 25, 75, 76, 118, Plate XXIII
framework - 81, 103
framework, mathematical - 103
freedom - 39
From Diatonic to Chromatic - 101
Fugue, Grand - 16, 17, 44, 86, 87, 102, 103, 104, Plate I
fugue-like - 103
fulcrum center - 76, 95
full chromatic chord - 52, 101
full genesis - 104
function - 110
fundamental chord - 18
fundamental laws - 33
fundamental note - 20, 59, 102
fundamental partial - 59
fundamental root - 110
fundamental root, sixth octave of the - 110
fundamental sound - 17, 111
furnishings of Major and Minor - 90
Fuss - 107
Fx - 30
F♭ - 108, 115
F♮ - 77
G - 14, 17, 28, 30, 32, 52, 54, 55, 61, 65, 66, 67, 71, 76, 77, 81, 82, 83, 84, 90, 91, 95, 96, 98, 100, 102, 103, 108, 110
G A - 71
G A B - 82, 83
G and D, attraction - 95
G b C d E G - 72
G B D - 17, 53, 77, 80, 82, 95, 102, 104
G b d - 96
g b d F - 80
G B D F A C - 72
G B D f, dominant chord - 80
G B D G - 116, Plate XIX
G C E G - 72
G character - 61
G major - 90, 112
G minor - 90
G root - 105
G soars to A - 96
G the dual of A - 46
G to A - 100
G to C - 65
G# - 39, 44, 52, 55, 56, 62, 80, 85, 86, 90, 99, 100, 101, 104, 107, 117, 118, 120, Plate XXI, Plate XXIII, Plate XXVII
G# a B c D e F g A♭ - 55
G# major - 85
G# minor - 90, 91
G#, A, A#, B, C, C#, D, D#, E, F, F#, G, G# - 56
G#, B, D, F - 55, 101
G#, B, D, F, A♭ - 55
G#-B - 52
G#151 7/8 - 62
G#300 - 107
G#303 3/4 - 107
G, B, D - 102, 104, 108
G, B, D = 31 commas - 38
G, B, D, birthplace - 49
G, B, D, dominant - 49, 71
G, B, D, F - 49, 52, 80
G, key of - 107, 117, Plate XXII
G, root of dominant - 105
G, third finger on the third string - 100
G-D - 103
G2 - 114, Plate XV
G36 - 82, 83
G381 - 60
G71 1/9 - 62, 84
G72 - 62, 82, 83
G8 - 45
G85 1/3 - 83
G85 5/9 - 83
G9 - 31, 32, 53, 66, 82, 102
gap between subdominant and dominant - 93
Gap in the Key for Modulation to a New Key - 93
gaseous - 86
Gen.xli. 32. - 42
generated by division - 67
generating chords - 68
generating notes - 53
generating primes - 67, 77
generating root - 11, 20
generating root of the ratios ascending - 11
generating the minor - 31
generation of the elements of music - 67
generation of the notes - 12, 39
generation of the scale - 11, 39
generations of harmony - 67
generative continuity - 49
generative root of the major - 88
generative top of the minor - 88
generator of the third - 49
generic affinity - 48
genesis - 8, 9, 11, 13, 19, 20, 25, 26, 31, 34, 42, 43, 46, 47, 48, 50, 55, 56, 59, 64, 65, 67, 68, 69, 70, 84, 90, 91, 101, 103, 106, 108, 110, 117, 118, 119, Plate II
Genesis Major and Minor - 90
Genesis of a chord - 25
genesis of creation - 110
Genesis of Major and Minor in Their Inverse Relation - Plate II
Genesis of Major and Minor Placed in Direct Relation - 56, 65, 77, 90, 105, 106, 109, Plate II
Genesis of Music's Scales - 43
genesis of notes - 8, 109
genesis of octaves - 26
Genesis of the Chromatic Scale - 47
genesis of the major - 13, 56, 103, Plate II
genesis of the minor - 43, 46, 56, 103, Plate II
Genesis of the Scale - 11, 19, 20, 26, 34, 43, 50, 63, 103, 104, 105, 106, 108, 109, 117, Plate II, Plate IV, Plate VI, Plate VII, Plate XXII
genesis of the scale from F - 108
Genesis of the Scale, Law of the - 104
genesis of the system of vibration - 110
Genesis of the Two Diatonic Semitones - 50
genesis of the two modes - 118, Plate XXIV
genesis, ascending - 43, 63, 64, 65, 66
genesis, ascending - 66
genesis, continuous - 117, Plate XXII
Genesis, definition - 25
genesis, descending - 43, 63, 64, 65, 66
genesis, diatonic - 101
genesis, downward - 63, 68,117, Plate XXII
genesis, full - 104
genesis, great - 101, 119, Plate XXIII
genesis, head of - 91
genesis, major - 55, 65, 67, 77, 88
genesis, major - 90
genesis, mathematical - 69, 107
genesis, minor - 55, 65, 88
genesis, octave of - 59
Genesis, origin and structure - 67
genesis, primitive - 109
genesis, six-octave - 91
genesis, twofold - 66
genesis, upward - 63, 68
genetic - 90
genetic chord - 48
genetic developing of compound chords - 70
genetic direction - 65
genetic magnitudes, three of the - 110
genetic number - 43, 54
Genetic Operations, Three Primes and their - 103
genetic origin of music’s duality - 46
genetic position - 67, 121, Plate XXX
genetic relation - 60, 63
genetic root - 9, 17, 25, 101
genetic root of all - 101
Genetic root of the whole system - 17, 25
Genetic Root, definition - 25
genetic scale - 9, 46, 61, 66, 67, 79, 81, 113
genetic scale, dual - 113
genius - 49, 108
geometers - 107
geometric - 13
geometrical genesis of the scale - 11
geometrical series of numbers - 59
geometry - 15, 92, 107
germ - 52, 73, 104
germ of the chromatic chord - 52, 104
German Princess - 107
Glasgow - 9, 111
God - 20, 39, 42, 79, 87 (see Great Numberer)
good - 84
grand chord of chords - 17
Grand Fugue - 16, 17, 86, 87, 102, 103, 104, Plate I, Plate IV
grave - 68, 72
grave and graver - 68
grave harmonic - 7, 36, 37, 60, 61, 77, 87
grave, subdominant - 91
graver - 68
gravitating tendency - 29, 95, 96
gravitation - 30 (see Law of Gravitation)
gravity - 18, 27, 28, 29, 32, 38, 40, 43, 62, 72, 82, 95, 98, 107, 118
gravity from levity - 62
gravity, center of - 27, 92, 93, 95, 105, 118, Plate XXIV
gravity, definition - 40
gravity, degrees of - 95
gravity, force of - 27, 28
gravity, musical - 105
gravity, specific - 28, 35, 37, 43, 95, 96, 98 (see Law of Specific Gravity)
great chord - 104, 111
Great Chord of Chords - 17, 18
great complex chord - 111
great genesis - 101, 119, Plate XXIII
great Genetic Scale - 66, 79, 81
Great Numberer - 42, 86 (see God)
Greek art - 45
Greek modes - 45, 46
Greek tetrachords - 7
Greeks - 45, 46
Green, Mr. - 94
group three magnitudes, 7-fold - 110
group, first quarter - 103
growth - 20, 67, Plate X
GROWTH-LIKE CONTINUITY OF CHORDS AND KEYS - 110, 133, Plate X
gut-string - 22
Gx - 30
G’s, two - G144- 82
G♭ - 30, 89, 90, 91, 108, 114, 115, 116, 117, Plate XVI, Plate XVII, Plate XVIII, Plate XXI
G♭ major - 90
G♭♭♭♭♭♭ - 108
half of the circle - 103
halo - 16, 17, 78
halo of one sound - 16, 17
halo, audible - 78
halving - 26
harmonic - 92
harmonic combinations - 91
harmonic fifth - 38
harmonic notes - 92
harmonic partials - 60
harmonic progression - 33
Harmonics - 23, 110
harmonics - 58, 59, 63, 78, 87, 110
harmonics on the violin - 92
Harmonics to Six Octaves, Ramsay’s Extension of the - 111
harmonics, acute - 59, 87
harmonics, grave - 36, 61, 77, 87
harmonics, scale of - 110
harmonies - 21, 51
harmonies, progression of - 51
harmonies, unheard - 39
harmonious halo of one sound - 16
harmony - 7, 28, 29, 30, 34, 37, 49, 65, 68, 77, 81, 84, 86, 87, 88, 91, 94, 104, 110, Plate III
harmony of chords - 68
harmony scale - 79
harmony to D - 81
harmony, chords of - 104, Plate III
harmony, equilibrium - 91
harmony, generations of - 67
harmony, key of - 91
harmony, musical - 91
harmony, network of - 78
harmony, octave of - 86
harmony, organic - 29
harmony, resources of - 93
harmony, stream of - 84, 88
harmony, three chords of - 108
harmony, unheard - 39
harmony, whole of the key - 104
harp - 86, 104
Harp, Silent of Pendulums - 111
Haydin - 34
head - 66
head of the genesis - 91
heads, octave - 119, Plate XXIII
heart - 20, 54, 79, 103
heat - 39
Heaven and Earth, Maker of - 103
heaven, astral - 21, 114
heaven, lower - 21
Heb x. 28. - 42
Hebrew Poetical Parallelism - 41
Helmholtz - 21, 60, 78
helpmeet - 66
hemisphere of the Fifths - 106, 113
hemisphere of the seconds - 113
hemisphere of the thirds - 107, 113
hemispheres - 106, 107, 113
Her Majesty - 10
hermetically sealed - 39
high silence - 39
highest chord - 17
Holden, - 22, 23
Holy Scriptures - 41
honor - 110
horizon of music - 19, 79, 118, Plate XXII
hosts of sounds - 22
Hosts, Lord of - 103
human consciousness, elements of - 42
humanity - 45
Illustrations of the operations of DUALITY in various spheres - 49, 120, 153, Plate XXIX
immutable laws of Nature - 78
imperfect - 8, 12, 34
imperfect fifth - 52, 106
imperfect triad - 52
imperial character - 57
inaudible region of vibrations - 39
Incarnate One - 79
inch - 75
inclined plane - 18
incommensurable, rule - 75
INDEX - 155
index finger - 117, Plate XXII
indication - 46
individual character of the ratio - 106
indivisible - 23
indivisible point - 23
infinite - 42
infinite tremor of vibrations - 39
infolding - 39, 40
inner space - 110
inorganic chemical elements - 29
inorganic notes of music - 29
inspiration - 20, 33, 35, 92
inspirational basis - 35
instruments, keyed - 120, Plate XXVII
instruments, sounding - 102, 104
instruments, tempered - 109
integer - 76
intellect - 40
Interesting variety of Thirds - 113
interior vibration - 87
intermediate notes - 120, Plate XXVII
interval - 8, 12, 19, 20, 25, 28, 30, 35, 36, 37, 40, 45, 47, 48, 52, 56, 67, 68, 69, 75, 77, 81, 83, 84, 96, 99, 100, 103, 106, 110, 113, 114, 120, Plate IX, Plate XIV, Plate XXVIII
interval D-E - 113
interval of the fifth - 36,
interval of the octave - 19, 35, 36
interval, 8:9 - 99
interval, 9 comma - 48, 113
interval, 9:10 - 99
interval, chromatic - 55, 69
interval, discordant - 81
interval, octave - 109
interval, semitonic - 99
intervals are incommensurable - 75
intervals as areas - 107
intervals, 42 - 76, 109, 110
INTERVALS, CLASSIFICATION OF - 109, 133, Plate IX
intervals, larger - 45
intervals, lesser - 45
Intervals, Mathematical and keys - 89
intervals, six - 110
intervening chord - 101
intervention, mediatorial - 71, 120, Plate XXIX
Intonation - 13, 34, 35, 40, 74, 80, 118, Plate XXII
intonation, perfect - 188, Plate XXII
intuitive - 86
invariable order - 99
invariables - 75
inverse and reciprocal order - 79
inverse and reciprocal progressions - 44
Inverse fugue - 44
inverse genesis - 46
INVERSE of the major - 81
inverse order - 67, 79, 99
Inverse process - 31, 53, 67
Inverse Process for the Minor Genesis - 31
inverse progression - 44
inverse relation - 42, 44, 103, 114, 120, Plate XXVIII
inversely proportional to the vibrations, lengths are - 100
inversion - 61, 115, 116, Plate XIX
irrevocable proportions - 118, Plate XXII
Isinglass - 85
isolation - 70
Jackson - 93
Janus-faced center - 55
Janus-faced D - 54, 55
jargon - 33
Jesus - 79
Job - 82
John v. 31, 32 - 42
joining - 38
joint, universal - 116, Plate XIX
Jove - 12
joy - 79
judgment, errors in - 99
Keely - 86, 87
Keely's researches - 87
key - 12, 17, 20, 28, 30, 38, 40, 44, 47, 48, 50, 57, 63, 66, 69, 76, 77, 82, 91, 93, 94, 99, 100, 108, 109, 110, 114, 118, Plate VI, Plate VII, Plate XXII
Key for Modulation to a New Key, Gap in the - 93
key note - 66, 91, 106, 109, 116, 119, Plate XV
key of A - 50, 62, 83, 100, 107, 112
key of A minor - 52, 88
key of A natural - 83
key of B - 62, 107
key of B ♭ - 94
key of B♭ major - 94
key of C - 28, 31, 39, 40, 44, 47, 48, 52, 62, 66, 76, 82, 88, 99, 100, 117, Plate XXII
key of C major - 31, 52, 62, 76, 88
key of C# - 62
key of D - 62, 84, 100, 107
key of E - 62, 100, 107, 108, 117, Plate XXII
key of E minor - 62
key of E♭ major - 94
key of E♭ minor - 52, 85
key of F# - 62
key of F# major - 52
key of G - 12, 17, 47, 48, 62, 82, 99, 100, 107, 117, Plate XXII
key of harmony - 91
key system - 30
key, area of - 104, 106, 107, 130, Plate VI
key, chord - 76
key, diatonic - 54
key, fourteenth - 115, Plate XVI
key, major - 100, 104
key, modulated - 112
key, roots of the three chords of a - 110
key, shifting - 114
key, twelfth - 108
key, twofold diatonic - 54
key, whole - 77
key, whole harmony of - 104
key-board - 36, 56, 57, 80, 104
Key-Board and the Chords of Harmony - Plate III
key-chord - 91
key-note - 32, 66, 83, 91, 106, 109, 115, 116, Plate XIX
key-note of the scale - 106, 109
Key-System - 38, 63
keyboard tempering - 80
keyed instruments - 120, Plate XXVII
Keys - 7, 20, 30, 38, 56, 62, 82, 110, 116, 117, Plate VII, Plate X, Plate XVII, Plate XVIII, Plate XXI
KEYS AND CHORDS, GROWTH-LIKE CONTINUITY OF - 110, Plate X
Keys and their Chords - 108, Plate VII
keys grow out of chords - 110
keys in ♭s - 113, 117, Plate XXI
keys notes, twelve - 114, Plate XV
keys with sharps - 117, Plate XXI
keys, 24 - 115, 131, Plate VII
keys, advancing - 62, 83
keys, black - 44, 80, 85, 104
keys, circle of - 188, Plate XXIII
keys, contiguous - 94
keys, fellowship - 93
keys, fellowship of - 93
keys, first cycle of - 89
keys, fixed - 109
keys, foreign - 51
keys, four - 62
keys, kinship of - 39, 93
keys, major - 115, 119, Plate XXVI
Keys, Mathematical Intervals and - 89
keys, minor - 115, 119, Plate XXVI
keys, order of - 57
keys, second cycle of - 89
keys, successive - 56
keys, third cycle of - 89
keys, thirteen - 74, 115, Plate XVI
keys, three - 62
keys, twelve - 39, 40, 63, 69, 118, Plate XXII
keys, white - 80, 85
kindred - 91
kinship of chords - 112
kinship of keys - 39, 93
knotless thread - 38
knowledge - 86
language of numbers - 87
large second - 75, 100, 113
larger intervals - 45
larger step - 109
last begotten - 101, 103
last days - 779
last-born note - 31, 67, 81, 103
lateral growth - 67
lateral outgrowth - 117, Plate XXII
lathe (lath) - 17, 92, 93, 104
lathe, dressed of pine - 92, 93
law of "Twelve" for Scales - 118, Plate XXII
law of a falling body - 15
Law of Affinities - 37, 95
Law of Affinity - 37, 95
Law of Assimilation - 66, 71
Law of Astronomy - 30
Law of Combination - 37
Law of Continuity - 23, 24, 48, 77, 87
Law of Creation - 87
Law of Distance - 95, 96
Law of Duality - 8, 9, 13, 15, 20, 24, 37, 38, 41, 42, 43, 44, 46, 62, 63, 68, 79, 85, 87, 99, 100, 106, 121, Plate XXIX
Law of Duplication - 76
Law of Generations - 37
Law of Gravitation - 12, 29, 30, 78
Law of Laws - 71
Law of Masses - 95, 96
Law of Mathematical Ratios - 8
Law of Motion - 26, 95
Law of Music - 30, 33, 39
Law of Nature - 33, 78
law of permutations and generations - 37
Law of Position - 29, 35, 37, 68, 72, 87
Law of Proximities - 95
Law of Proximity - 95, 96, 99, 100
Law of Quantities - 95
Law of Ratio - 33, 35, 37, 87
Law of Ratio in Music - 33, 37
Law of Ratios - 33, 35, 37
Law of Sex - 41
Law of Specific Gravity - 96
Law of Specific Levity - 96
Law of Sympathy - 66, 92
law of sympathy and assimilation - 66
Law of the Ear - 34
Law of the Genesis of the Scale - 104
Law of the Octave Interval - 76
Law of the Third Sound - 60
Law of Twelve - 118, Plate XXII
law of witness-bearing - 42
laws - 78, 95
Laws of Masses - 96
laws of mechanics, geometry, and arithmetic - 15
Laws of Motion - 26, 86
Laws of Music - 33, 39, 92
Laws of oscillatory and vibratory motions - 15
Laws of Permutations - 37
Laws of Quantities and Motions - 15, 53, 77, 78, 95
laws of their own structure and system - 51
laws of vibratory motion - 87
laws which generate and constitute - 51
laws which rule in astronomy - 95
laws which rule in music - 95
laws, immutable - 78
leanings - 91
leap - 68
Lees - 23
lending and borrowing - 111
length and motion - 15
Length of Strings - 31, 87, Plate XXVIII (see Number of Vibrations)
length, pendulum - 105, 121, Plate XXX
lengths are inversely proportional to the vibrations - 100
lesser step - 109
lesson - 82
letter - 83, 96
Letters to a German Princess - 8
levity - 27, 28, 29, 35, 38, 40, 43, 62, 72, 95, 98, 105
levity and motion - 105
levity becomes gravity - 62
levity, center of - 95
levity, definition - 40
levity, degrees of - 95
levity, specific - 28, 35, 37, 43, 95, 96, 98
liberty - 34
Liberty of Inspiration - 34
life and birth of music - 101
life of music - 29, 101
life within music - 34
life-force - 35, 36
life-powers - 35, 36, 74
light - 39
likenesses - 87
limitation - 42
line of sight - 58
line, fifth - 102
line, spiral - 117, Plate XXI
line, spiral-ellipse - 116, Plate XXI
lines of indication - 46
lines, circular - 102
lines, curved - 108, 115, 121, Plate XXX
lines, octave - 102
lines, perpendicular - 115
lines, radial - 103
lines, straight - 108
links - 97, 111, Plate XI
linseed oil - 85
liquid - 86
local proximity - 91
local proximity, attraction of - 91
logical deductions - 86
Lord of Hosts - 3, 103
lost chord - 103
lost dominion of Nature - 79
low audible region - 110
low of ratio - 37
low silence of pendulum-oscillations - 16, 39, 87
lower third - 68
lowest chord in a key - 17
MacVicar - 87
magnitude (of steps) - 47, 50, 68, 109, 110
magnitudes of seconds, three genetic - 110
magnitudes of the seconds, three genetic - 110
magnitudes, 7-fold group three - 110
magnitudes, three - 47, 109, 110
Maintenance of Continuity - 49
major - 13, 14, 20, 28, 31, 32, 35, 37, 38, 39, 40, 42, 43, 44, 47, 50, 52, 55, 56, 61, 64, 65, 66, 67, 68, 69, 70, 76, 77, 79, 81, 82, 83, 84, 88, 99, 100, 101, 104, 113, 115, 117, 119, 120, Plate II, Plate VI, Plate VIII, Plate XI, Plate XVI, Plate XVII, Plate XXI, Plate XXII, Plate XXIII, Plate XXVI, Plate XXVIII, Plate XXIX
Major A - 117, Plate XXII
major and minor harmony - 104
major and minor scales - 14, 43, 44, 90, 112, 113, 136, Plate XII
major and minor sevenths - 79
major and minor systems - 42
Major and Minor, Distinctive Note of - 117, Plate XXI
MAJOR AND MINOR, RECIPROCAL QUANTITIES OF STRINGS AND VIBRATIONS FOR - 118, Plate XXIV
major and minor, sexual distinction of - 66, 109
major and the minor - 31, 32, 38, 50
major ascending - 66
major birth - 56
major C - 90
major chord - 52, 53, 70, 99, 101, 103, 104, 112
major chord-scale - 81, 121, Plate XXIX
major comma - 14
major chromatic resolutions - Plate XVII
major D - 61, 120, Plate XXVIII
major dominant - 28, 43, 50, 54, 67, 70, 71, 81, 101, 103, 104
major dominant chord - 67
major dominant, root of - 70
major dominant, top of - 101, 103
major dominants - 43
major Duality - 109
major F - 115
major family - 103
major fifth - 62, 103
major form - 55
major fourth - 61, 104
major generates minor - 67
major genesis - 55, 65, 67, 77, 88, 90
Major Harmonized - 149, Plate XXV
major key - 40, 62, 82, 94, 100, 104, 119, Plate IV, Plate XIX, Plate XX
major key of C - 31, 50, 115
Major Keys - 14, 40, 56, 62, 119, Plate XXVI
major mathematical scales, 13 - 80, 85
major mathematical scales, 13, 80, 89
major mode - 53, 76, 77, 118, 119, 121, Plate XXIV, Plate XXX (see masculine)
Major Modulation - Plate XXV
major note - 89
major notes, 7 - 89
major octave - 66
major octave scale - 66
major of the root - 46
major phase - 101
major roots - 67
major scale - 14, 31, 37, 38, 39, 40, 43, 44, 46, 50, 52, 62, 65, 69, 79, 81, 87, 88, 89, 90, 103, 106, 108, 109, 112, 114, 115, 121, Plate XII, Plate XIV, Plate XV, Plate XXV
major scale, area of - 106
major scales, advancing - 62
major scales, chords of - 108
major scales, six - 90
major scales, six successive - 89
major scales, twelve - 79, 112
major second - 117, Plate XXII
major series - 39
major seventeenth - 59
major seventh - 113
major sixth - 113
major sphere - 69
major stave - 113
major subdominant - 28, 43, 46, 54, 55, 81, 101, 104, 121
major system - 13, 38, 42, 44, 50, 81, 111
major system of chords - 81, 103, 111
major system of chords, tops and roots of the - 103
major third - 61, 92, 100, 117, Plate XXII
major three simple chords - 70
major tonic - 57, 64, 65, 70, 71, 99, 100, 103, 104
major tonic, root of - 99
major triplet - 54
Major Vibrations - Plate XXVIII
major, dominant - 121, Plate XXIX
major, generative root of - 88
major, mathematical build - 46
major, middles - 62
major, perfect - 101
major, relative - 112, 113, 117, Plate XXI
major, second of - 109
major, sub-relative - 113
major, subdominant - 65, 121, Plate XXX
major, three times three - 104
major, threefoldness - 35
major, tonic - 103
majors - 112
MAJORS AND MINORS WITH THEIR RATIO NUMBERS, MATHEMATICAL TABLE OF THE - 109
majors ascending - 62
Majors, sixth scale of - 108
Maker of Heaven and Earth - 103
man - 31
man's five senses, scale of - 86
manifold divisibility of twelve - 35
marriage - 106
marriage relation - 106
marshalled notes - 91
masculine and feminine - 50, 106, 117, Plate XXII
masculine mode - 66, 67, 76, 106, 117, 119, Plate XXII Plate XXIII (see Major Mode)
masculine scale - 117, Plate XXII
mass - 95
Masses, Law of - 96
master-stroke - 35
masters - 33, 34, 36, 51
Materials of the Chromatic System - 48
Mathematical and Tempered Scales - 118, 147, Plate XXIII
mathematical authority - 48
mathematical basis - 35
mathematical build - 46
mathematical command - 34
mathematical demonstration - 36
mathematical element - 13
mathematical evolution - 109
Mathematical Framework of Major and Minor - 103, Plate II
mathematical genesis - 69, 107
Mathematical Intervals and Keys - 89
mathematical intonation - 34, 74
Mathematical measurements - 21
Mathematical Notes of the Twelve Scales - 119, Plate XXVII
mathematical number - 36, 109, 117, Plate XXII
mathematical operation - 29
mathematical origin and structure - 67
mathematical point - 82
mathematical primes - 8, 29, 35, 68, 75, 107
mathematical process - 83, 84
mathematical quantities - 99
mathematical ratio - 8, 34, 35, 37, 39, 42, 104
mathematical relations - 36
Mathematical Root - 9
mathematical root - 9
Mathematical scale - 11, 29, 30, 39, 80, 85, 89, 108, 115, 151, Plate VII, Plate XVI
Mathematical Scale an abnormality - 89
Mathematical Scale of Thirty Two Notes - 85, 89, 151, Plate XXVII
mathematical scale, major - 89
mathematical scale, minor - 89
mathematical scales, spiral of - 118, Plate XXIII
Mathematical Scales, Thirteen - 80, 85, 89
Mathematical Scales, Twelve - Plate XXIII
mathematical science - 8
mathematical series - 120, Plate XXVII
mathematical shell - 35
mathematical system - 29, 43
Mathematical Table of Majors and Minors and their Ratio Numbers - 109, 132, Plate VIII
Mathematical Table of Twelve Major Scales and their relative Minors - 117, Plate XXII
mathematical table, twofold - 117, Plate XXII
mathematical theorists - 34
Mathematical Twelve Scales in #s - Plate XXIII
Mathematical Twelve Scales in ♭s and #s - Plate XXIII
mathematical-intonation - 74, 80
mathematically perfect notes - 34
mathematicians - 33, 34, 35, 36, 37
mathematics - 33, 68
meaning, symbolic - 110
measure - 94, 113
measures, sphere of - 92
measuring line - 39
measuring-rule - 114
mechanics - 10, 92
mediatorial intervention - 71
medicine - 81
medium second, 8 commas - 100, 113
meet - 16
meeting and passing of the pendulums - 105
meetings, proximate 18, 105, 106
melodic scale - 88, 110
melodic scale, seven seconds of - 110
melodic succession - 91
melodious, tonic is - 91
melody - 28, 68, 110
Mendelssohn - 34
Mercenne - 59
mercy - 79
metaphysical - 12
metaphysical science - 8
metaphysico-mathematical science - 12
meteor - 39
method of calculation - 22
method of Chord-resolution - 112
middle - 31, 32, 43, 52, 54, 55, 57, 62, 66, 67, 85, 97, 106, 107, 114, 115, 116, 117, Plate XVI, Plate XVII, Plate XVIII, Plate XXII
middle chord - 17, 57, 67
middle fifth is the tonic - 106
middle in the majors - 62
middle in the minors - 62
middle note - 43, 54, 77
middle notes - 38, 76
middle of a chord - 99, 100
middle of subdominant minor - 62
middle of the chord-scale - 120, Plate XXIX
middle of the dominant - 62, 84, 95, 97, 98, 112, 117, 120, Plate XXII, Plate XXIX
middle of the dominant major - 101
middle of the dominant of the masculine - 117, Plate XXII
middle of the major chord - 53, 67
middle of the major dominant chord - 67
middle of the minor subdominants - 43
middle of the period - 105
middle of the relative minor - 53
middle of the rod - 105
middle of the string - 92
middle of the subdominant - 97, 112, 120, Plate XXIX
middle of the tonic - 95, 97, 98, 111, 112, Plate XI
middle of the top chord of the major system - 81
middles - 27, 31, 85, 97, 102, 103, 107
middles of the 3 minor chords - 103
middles of the chords - 103
middles, two - 97
mighty action - 87
mind - 13
minor - 20, 31, 32, 35, 39, 46, 50, 56, 64, 65, 66, 67, 68, 69, 70, 73, 77, 79, 81, 83, 84, 85, 88, 99, 100, 101, 104, 107, 113, 117, 119, 120, Plate II, Plate VI, Plate VIII, Plate XI, Plate XVI, Plate XVIII, Plate XXI, Plate XXIII, Plate XXVI, Plate XXVIII, Plate XXIX
minor A - 90
Minor and Major, Distinctive Note of - 117, Plate XXI
minor and major, sexual distinction of - 66, 109
minor birth - 56
minor chord - 65, 67, 99, 101, 103
minor chord-scale - 121, Plate XXIX
minor chords, middles of the three - 103
minor chromatic resolutions - 116, Plate XVIII
minor D - 120, Plate XXVIII
minor derived from major - 67
minor descending - 62, 66
minor dominant - 43, 46, 54, 55, 81, 101, 104, 121, Plate XXIX
minor Duality - 109
minor E - 115
minor fifth - 68, 103
minor fourth - 117, Plate XXII
minor genesis - 31, 55, 65, 88, 90
minor harmonized - Plate XXV
minor harmony and major - 104
minor inverse of major - 81
minor key - 50, 62, 94, 104, 115, 119, Plate XVIII
minor key of A - 50
Minor keys - 56, 62, 119, Plate XXVI
minor mathematical scales, 13, 80, 85, 89
minor mode - 37, 53, 67, 69, 77, 113, 114, 118
minor mode, numbers for the, string-proportions of the - 118, Plate XXIV
minor modulation - Plate XXV
minor ninth - 51, 52
minor note - 89
minor octave - 66
minor of C - 31
minor phase - 101
minor scale - 14, 31, 32, 38, 40, 43, 44, 46, 50, 52, 65, 81, 87, 88, 89, 90, 99, 103, 106, 107, 108, 109, 112, 114, 115, 121, Plate XIII, Plate XV, Plate XXV
minor scale of the fifth - 65
minor scales, six successive - 89
minor scales, twelve - 62, 79
minor second - 113
minor series - 39
minor sevenths - 14, 79, 113
minor sphere - 69
minor stave - 113
Minor String-lengths, Vibrations of the Major are the - 44, 118, 148, Plate XXIV
minor subdominant - 43, 50, 54, 62, 67, 70, 71, 77, 104
minor subdominant, root of - 54, 62, 67, 101
minor system - 8, 13, 38, 42, 44, 50, 81
minor system of chords - 81, 103
minor system of chords, roots and tops of the - 103
minor third - 8, 12, 14, 20, 31, 38, 52, 54, 55, 56, 57, 61, 73, 76, 80, 81, 104, 106, 115, 117, 120, Plate XV, Plate XXVIII
minor third from D to F - 12, 31, 38, 52, 106
minor third triad - 55
minor third, D, e, F - 38
minor third, fifteen fifths - 80
minor thirds, four - 115, Plate XV
minor tonic - 65, 70, 71
minor tonic chord - 32, 57, 65, 104
minor tops, division of - 67
Minor Triad - 50
minor triplet - 54
minor vibrations - Plate XXVIII
minor, chords of - 104
minor, Dominant - 65
minor, fourth of - 109
minor, generative top of - 88
minor, middles 62
MINOR, RECIPROCAL QUANTITIES OF STRINGS AND VIBRATIONS FOR MAJOR AND - 118, Plate XXIV
minor, relative - 52, 81, 112, 113, 117, 120, Plate XXI, Plate XXII, Plate XXVIII
minor, three times three - 104
minor, threefoldness - 35
Minors - 108, 112
minors descending - 62, 63
minors, twelve - 115
mode - 34, 37, 45, 52, 64, 69, 77, 78, 106, 116, 117, 119, 120, 121, Plate XXI, Plate XXIX
mode of treatment - 34
mode, diatonic - 64
mode, Dorian - 45
mode, feminine - 67, 76, 106, 117, 119, Plate XXII, Plate XXIII (see Minor Mode)
mode, Greek - 45, 46
mode, major - 53, 54, 64, 76, 77, 116, 118, Plate XXI, Plate XXIV (see masculine)
mode, masculine - 66, 76, 117, 119, Plate XXII, Plate XXIII (see major)
mode, minor - 53, 54, 64, 67, 69, 76, 77, 113, 114, 116, Plate XXI (see Feminine Mode)
mode, numbers for the, string-proportions of the minor - 118, Plate XXIV
modes - 107, 120, Plate XXVIII
modes of the system - 32, 54, 78
modes, genesis of the two - 118, Plate XXIV
modes, sex - 66
modes, tetrachord - 46
modes, two - 38, 67, 114, 118, 120, Plate XXIV, Plate XXVIII
modulation - 38, 39, 48, 56, 63, 65, 69, 93, 94, 112, 114, 138, Plate XIV
Modulation to a New Key, Gap in the Key for - 93
Modulation, Definition - 63
modulation, natural - 93
MODULATION, VERTEBRAL COLUMN IN - 114, Plate XIV
MODULATIONS, OPENING FOR - 93
molecule - 86
monotonous - 84
moon - 39, 90
mors janua vitae (The door of life is death) - 101
mortal condition - 110
Moses - 42
mother - 35
mother note - 19
motion - 15, 24, 27, 39, 40, 75, 79, 87, 91, 93, 105, 106, 107
motion and length - 15, 75, 105
motion and levity - 105
motion, laws of - 86, 87
motion, oscillatory - 93
motion, vibratory - 24, 79, 87, 93
motionless system - 38
motions, elective - 39
movement in the same ratios - 105
movement of parts - 34
moving notes - 91
Mozart - 34
Mr. Green - 94
multiple - 81
multiplication - 67
multiplication of forces - 86
multiplier - 103
multiply from the bottom chord - 81
multiply from the root of the major subdominant - 81
multiply the top of the dominant - 82, 84
multiply the vibration-number - 82
multiply upward - 81
multiplying primes - 103
music - 27, 34, 39, 40, 42, 46, 49, 50, 55, 58, 61, 68, 74, 77, 79, 81, 86, 91, 92, 93, 95, 101, 102, 107, 111, 119, Plate XXIII
Music belongs to the Nature of Things - 92
music books - 91
music diversity - 119, Plate XXIII
Music hath charms to soothe the savage beast - 20
Music is a network of orders - 95
music of mankind - 22
Music Plant - 20, 110
music science - 34
music sounds - 61
music world - 79
Music's Center of Gravity - 82
music's scientific basis and build - 33
Music's Seal - 38
music, birth - 29
music, birth and life of the chromatic phase of music - 101
music, creative power - 35
music, duality in - 88
music, elements of - 67
music, horizon of - 19, 79
music, levity and motion - 105
music, life - 29
music, life within - 34
music, Nature the maker of - 78
music, organic structure of - 95
music, scale of - 75
music, science of - 110, 111, 122
music, scientific basis of - 78
music, social order - 35
music, sweetness of - 87
music, three centers - 105
music, vital principle of - 29
musical air - 91
musical condiments - 69
musical doctrines - 49
Musical ear - 20, 36
Musical Effect of Notes - 28
musical effects - 18, 68, 69
musical elaboration - 49
musical elements - 18, 46
Musical Essence - 108
musical forces - 27
musical gravity - 105
Musical Key - 76
musical marshallings - 47
Musical Mathematical Primes - 75
musical mystery - 45
musical note - 18, 24
musical notes - 8
musical orthography - 108
Musical Orthography for Uniform Musical Essence - 108
musical phenomenon - 8
musical pitch - 24
musical plant, roots of the - 110
musical progression - 97
musical range - 19
musical ratios - 12, 105
musical scale - 8, 9, 11, 14, 32, 113, Plate XIII
Musical Scale, Vertebral Column of the - 113, Plate XIII
musical science - 9, 10, 34, 40, 48, 74
musical sound - 16, 17, 22, 24, 26, 34, 58, 59, 78, 106
musical sound is composed of three sounds - 59
Musical Sounds, System of, defined - 96
musical string - 18, 22,
musical system - 13, 15, 19, 23, 27, 28, 30, 34, 35, 40, 53, 76, 77, 78, 82, 96
musical system major - 53
musical system minor - 53
musical system of sounds - 78
musical system of vibrations, center of gravity of the - 118, Plate XXIV
musical system of vibrations, duality of the - 118, Plate XXIV
musical system, center of - 27, 96
musical system, three chords of - 102
musical tetrachords - 45
musical tone - 78
musical truth - 107
musical vibration - 9, 15, 16, 19, 21, 22, 87
Musical Vibration, definition - 19, 22, 105
musical vibrations, system of - 102, 111
musical world - 40, 118, Plate XXII
musician - 92
music’s duality - 46
Music’s Foundation - 31
music’s mystery - 119, Plate XXIII
Music’s Truth - 78
Mutual - Plate XII
mutual furnishings of Major and Minor - 90
mutual providing - 113, Plate XII
mysteries - 40
mysterious sound - 106
Mystery of Duality - 81
mystery, musical - 45, 88, 119, Plate XXIII
N.B. - 82, 84
native affinity, attraction of - 91
native constitution - 55
native place - 55
natural - 90, 94
natural birthplace of B - 111
natural ear - 36
NATURAL HISTORY OF NOTES - 26
Natural History of the Notes of the Scale - 26
natural law - 36, 37
natural major scale - 65
natural modulation - 93
natural notes - 52
natural number for the mathematical scales, Twelve is the - 115, Plate XVI
Natural Philosophy - 7, 22
natural scale - 26, 51, 64, 65, 66, 77, 79, 86, Plate XXV
Natural Scale of Fifth - 64, 66, 79
natural scale, compound - 79
natural scale, simple - 79
natural tendency - 109
Natural Way of the Genesis Major and Minor - 90
naturals - 114
Nature - 9, 19, 20, 21, 27, 28, 34, 35, 36, 39, 42, 43, 44, 45, 46, 47, 48, 49, 54, 56, 59, 67, 70, 78, 79, 86, 87, 90, 94, 95, 96, 97, 99, 108, 110, 111, 112, 113, 114, 117, 120, Plate XXII, Plate XXIX
Nature is the maker of music - 78
Nature of Things - 92
Nature's danger-signal - 38
Nature's Grand Fugue - 16, 17, 86, 87, 102, 103, 104, 125, Plate I, Plate IV
Nature's imperious law of "Twelve" for Scales - 118
nature, dominion of - 79
Nature, economy of - 9, 28, 31, 44
Nature, immutable laws of - 78
nature, maker of music - 78
nature, processes of - 81
Nature, secret of - 118, Plate XXIV
Nature’s beautiful steps - 118, Plate XXIII
Nebuchadnezzar - 12
network of harmony - 78
network of orders - 95
neutral, center is - 107
never-ending cycles - 34
New Theory of Music - 107
Newton, Sir Isaac - 18
nice - 84, 85
nine fifths apart - 14
nine notes - 96
nine, three times three are - 96
nine-tenths of a string - 92
nineteen different ratios - 16
ninth - 52, 93, 105
ninth part - 15
ninth, dominant - 70, 72, 81
ninth, minor - 51, 52
node - 58, 59
north - 82
north pole - 107
Notation, Common - 115
notched lathe - 104
note - 21, 24, 26, 27, 31, 32, 34, 35, 36, 37, 43, 44, 50, 51, 53, 58, 60, 61, 63, 64, 66, 68, 71, 73, 75, 77, 79, 80, 81, 82, 83, 84, 85, 86, 88, 89, 91, 92, 94, 95, 96, 98, 100, 102, 109, 111, 114, 115, 116, 117, 118, 119, Plate XXII, Plate XV, Plate XIX, Plate XXIV, Plate XXVII
note has two names - 114
note in common - 24, 49, 57, 65, 66, 68, 71, 97, 98, 99, 111, 112, 113, 116, Plate XI, Plate XIX, Plate XXIX
note leans toward note - 92
note seventh - 97
note, answering - 119, Plate XXIII
note, assumed - 71
note, distinctive - 83, 117, Plate XXII
note, eighth - 97
note, fifth - 97
note, first - 97
note, fourth 97
note, fundamental - 102
note, last-born - 67
note, minor - 89
note, root - 75
note, second - 97
note, secondary - 36
note, sexual - 90, 91, 112, 117, Plate XXII
note, sixth - 97
note, third - 97
notes as points - 107
Notes form Proximity and Affinity, Tendencies of the - 91
notes in common - 65, 68, 121, Plate XXIX
notes, 22 - 111
notes, 25 - 103, 111
notes, 32 - 119, Plate XXVII
notes, 32 in octave - 85, 89
notes, 7 original notes - 89, 106
notes, attraction of - 28, 99
notes, character of - 28
notes, distance between - 107
notes, divided - 56
notes, dual - 103, 106
notes, duality - 46, 118, Plate XXIV
notes, effects of - 29, 95
notes, five - 77, 86
notes, genesis of - 8, 109
notes, harmonic - 92
notes, inorganic - 29
notes, intermediate - 120, Plate XXVII
notes, life force - 35
notes, linked - 111, Plate XI
notes, middle - 76
notes, moving - 91
Notes, Musical Effect of - 28
notes, naming - 83
notes, new - 62, 90
Notes, Pendulums, Two Modes. - 44, 120, 152, Plate XXVII, XXVIII
notes, pitch of - 110
notes, resolving - 99
notes, service - 62
notes, seven - 76, 103
notes, sharpened - 107
notes, three - 77, 96
notes, tonic - 98
notes, two new - 82, 90
notes, under - 84
notes, upper - 84
notes, vibrations of - 107
nothing - 82, 107
number - 9, 21, 26, 30, 31, 44, 59, 75, 76, 83, 87, 88, 100, 110, 115, 117, 118, 119, Plate XVI, Plate XXII, Plate XXIII, Plate XXIV (See Period)
number of vibrations - 87, 117, 118, Plate XXII, Plate XXIV
number, mathematical - 36, 109, 115, 117, Plate XXII
numbers - 120, Plate XXVII
numbers for the string-proportions of the minor mode - 118, Plate XXIV
numbers of the vibrations in the minor, string proportions in the major are the - 118, Plate XXIV
numbers, dual - 119, Plate XXIII
numbers, language of - 87
numbers, series of - 117, Plate XXII
numbers, sphere of - 92
numbers, string lengths - 76, 100
nursery - 66 (see Seed-bed)
octave - 8, 12, 19, 22, 26, 31, 34, 36, 37, 47, 49, 55, 56, 59, 60, 61, 62, 64, 65, 66, 68, 69, 72, 75, 76, 77, 81, 82, 83, 96, 99, 102, 106, 107, 109, 110, 111, 113, 114, 115, 118, 119, Plate X, Plate XIII, Plate XV, Plate XXIII, Plate XXVII
octave divided into commas - 104
octave divided into twelve semitones - Plate XV
octave heads - 119, Plate XXIII
octave in the chord - 17
Octave Interval - 76, 109
octave into commas - 104
octave lines - 102
octave note of its root - 110
octave notes of the chords - 110
octave of genesis - 59
octave of harmony - 86
octave of semitones - 55, 56, 101
octave prime - 35
octave roots - 119, Plate XXIII
octave scale - 11, 17, 28, 35, 49, 64, 65, 66, 79, 86, 88, 91, 95, 96, 97, 98, 117, Plate XXII
octave scale ascending - 49, 66
Octave Scale like Sensation and Reflection - 86
octave, 32 notes - 85, 89
octave, 53 commas - 47
octave, area of - 27
octave, compound natural scale - 79
octave, fifth - 66
octave, four minor thirds - Plate XV
octave, fourth - 22
octave, major - 66
octave, minor - 66
octave, seven - 35
octave, seven notes - 76, 88
octave, seven notes of - 76, 88
octave, seventh - 63, 79
octave, sixth - 66
octave, solid - 66
octave, supreme - 35
octave, three parts - 101
octave, tones of - 107
octave, twelve semitones - 33, 34, 56, 72, 99
octave, twelve-foldness - 72
octave, two scales - 64
octave-producer - 76, 83
octave-producer, 2 - 83
octaves of primes and products - 16
octaves, circular lines - 102
octaves, four - 110
octaves, four consecutive - 103
octaves, seven - 118, Plate XXII
octaves, six - 86, 110, 111
octaves, three - 92, 120, Plate XXVIII
octaves, two - 76, 106
ocular demonstration - 15
offspring - 20
omnipresence - 114, Plate XV
one comma - 94
one comma and the apotome minor - 86
one grand harmonious chord of chords - 17
one sound contains three different sounds - 18
one system in duality - 50
One, Three in - 103
one-law theorists - 34
one-ninth - 93, 105
one-third - 18, 92, 93
one-third of the length of the rod - 105
one-third, two-thirds of - 92
open - 117, 118, Plate XXI, Plate XXIII
open A - 99
open first string, E - 99, 100
open second string, A - 100
open string - 99, 100
open system - 38
OPENING FOR MODULATIONS - 93
opening in the system - 93
OPERATIONS OF DUALITY IN VARIOUS SPHERES - 120, Plate XXIX
operative rule - 121, Plate XXIX
orbit - 25
order (of the steps in the minor) is 9, 5, 8, 9, 5, 9, 8 - 47
order - 17, 32, 37, 43, 44, 51, 66, 96, 104, 106, 118, 119, Plate XXIII
order in music - 35
order of ascending notes -11
order of keys - 57
order of modes - 45
order of Nature - 43, 119
order of quantities above F - 8
order of the steps in the major is 9, 8, 5, 9, 8, 9, 5 - 47
order of threes - 97
order of twos - 97
order, invariable - 99
order, inverse - 79, 99
order, reciprocal - 79
order, symmetrical - 45
orders, network of - 95
organ pipe - 22
organic harmony - 29
organic state - 29
organic structure of music - 9, 35, 37, 95
original comma - 86
Orthography for Uniform Musical Essence - 108
oscillates between the ratios of 2:3 and 3:4 - 106
oscillating proximately - 106
oscillation - 18, 24, 25, 39, 80, 92, 93, 102, 104, 105, Plate IV, Plate V
oscillation and vibration - 104, 129, Plate IV
oscillation of pendulum - 24, 39
oscillation speed - 105
oscillation, center of - 92, 93, 105
Oscillation, definition - 25, 105
oscillation, Proximate and Differential - 105, 129, Plate V
oscillations of the planetary bodies - 39
oscillations, pendulum - 102, 105, 111
Oscillations, Proximate and Differential - 105, 129, Plate V
oscillations, silent - 39, 102
oscillations, three - 102
oscillatory motion - 24, 39, 93
outer space - 110
outgrowth, dual - 64
outgrowth, lateral - 117, Plate XXII
outline - 84
Outlines of Natural Philosophy - 22
overlap - 109
overtone - 59, 60
Parallelism - 41
Parnassus - 13
partial tone - 59, 60, 78
partial, fundamental - 59
partials - 58, 59
Partials, Definition - 63
partials, harmonic - 60
particles of air - 24
passage - 93, 94, 99, 116, Plate XIX
passing of the pendulums, meeting and - 105
patience - 18
peacemaker - 110
peas in a pod - 68
pen - 105
Pendulographer - 105
pendulum - 9, 14, 15, 16, 18, 22, 23, 24, 25, 39, 80, 86, 102, 104, 105, 111, 120, Plate IV, Plate XXVIII, Plate XXX
Pendulum Illustrations of Ratios - 15
pendulum length - 80, 104, 105, 120, Plate IV, Plate XXVIII
pendulum oscillation, definition - 104, 105, Plate IV
pendulum oscillations - 16, 23, 25, 80, 87, 102, 104
Pendulum Proportions, Vibration-Ratios and - 121, 154, Plate XXX
pendulum system - 9
pendulum vibrations - 23
pendulum, coincidences of - 104
pendulum, rate of speed - 105
pendulum, three centers in a uniform - 105
pendulums, 13 - 104
pendulums, 25 - 104, 105
pendulums, meeting and passing - 105
Pendulums, Silent Harp of - 111
pendulums, ten - 121, Plate XXX
Pendulums, Two Modes. Notes. - 44, 120, 152, Plate XXVII, XXVIII
Penny Cyclopedia - 24
percussion, center of - 93
peregrination - 35
perfect chords, society of - 101
perfect fifth - 75
perfect interval - 12
perfect intonation - 40, 118, Plate XXII
perfect major - 101
perfect measuring rule - 75
perfect minor chord - 101
perfect notes - 34, 36
perfect order - 43
perfect response - 44
perfect third - 75
perfection - 33
perfectly elastic - 24
period - 9, 16, 30, 31, 86, 105, 106 (See Number, Time)
period, differential - 106
period, middle of - 105
period, proximate - 106
periods of vibrations - 9, 44 (See quantities of string)
periods, eleven proximate - 106
periods, short, 19 - 106
permanence - 30
Permutations - 37
perpendicular lines - 115
perspective - 58, 59
perspective of sound - 59
perturbations of the planets - 29
Peter Bell - 37
Pharaoh - 42
phase chromatic of music - 101
phase, flat - 120, Plate XXVII
phase, major - 101
phase, minor - 101
phase, sharp - 120, Plate XXVII
phases of duality - 46
Philosophy of Music - 45, 78
phrase - 94
physical science - 34
pianissimo - 116, Plate XIX
piano - 17, 44, 71, 80, 85, Plate XXVII
piano-key - 71
pianoforte - 10
Pianoforte Primer - 7
Pillar - 76
pine, dressed lathe of - 92
pitch - 24, 46, 90, 99, 110, 114, 118, Plate XXII
pitch, concert - 110, 117, Plate XXII
pivot point - 103 (see two D’s)
plagarist - 111
planet - 19, 25, 29, 39, 57, 82, 96, 107
planetary bodies - 39, 96
plant, music - 110
plastic air - 87
Plate I - Nature's Grand Fugue - 102, 125
Plate II - The Genesis - 19, 20, 26, 34, 43, 50, 56, 66, 103, 117, 126, Plate XXII (see Genesis of the Scale)
Plate III - The Keyboard and the Chords of Harmony - 17, 57, 104, 127
Plate IV - Oscillation and Vibration - 21, 104, 128
Plate IX - Classification of Intervals - 109, 110, 133
Plate V - Proximate and Differential Oscillations - 105, 129
Plate VI - The Area of a Key - 106, 107, 130
Plate VII - The 24 Keys and their Chords - 39, 70, 108
Plate VIII - The Mathematical Table of Majors and Minors and their Ratio Numbers - 14, 62, 89, 109
Plate X - Growth-like Continuity of Chords and Keys - 20, 110, 111, 134
Plate XI - Diatonic Resolutions. Simple and Compound - 51, 52, 111, 112, 135
Plate XII - The Major and Minor Scales - 43, 90, 112, 113, 136
Plate XIII - The Vertebral Column of the Musical Scale - 47, 113, 114, 137
Plate XIV - A Modulation - 39, 48, 114, 138
Plate XIX - Chromatic Resolutions - 51, 73, 116, 143
Plate XV - The Chromatic Chord - 114, 115, 139
Plate XVI - System of the Three Primitive Chromatic Chords - 73, 115, 140
Plate XVII - Chromatic Resolutions. Major. - 14, 51, 53, 73, 116, 141
Plate XVIII - Chromatic Resolutions. Minor. - 51, 53, 73, 116, 142
Plate XX - Chromatic Resolutions - 51, 73, 116, 144, Plate XIX
Plate XXI - The 24 Scales with their Signatures in #s and ♭s - 116, 145, Plate XIX
Plate XXII - Mathematical Table of the Twelve Major Scales and their relative Minors - 117, 146
Plate XXIII - The Mathematical and Tempered Scales - 118, 147
Plate XXIV - Vibrations of the Major are the String-lengths for the Minor - 44, 118
Plate XXIX - Illustrations of the operations of DUALITY in various spheres - 49, 120, 153
Plate XXV - Major harmonized - 65, 66, 70, 71, 149
Plate XXVI - Chromatic Resolutions -119, 150
Plate XXVII - The Mathematical Scale of Thirty two notes in Commas, Sharps and Flats - 119, 151
Plate XXVIII - The Two Modes. Notes. Pendulums - 44, 120, 152, Plate XXVII
Plate XXX - Vibration Ratios and Pendulum Proportions - 121, 154
Plates, Explanation of - 102
Playfair - 22
Poetical Parallelism - 41
poetry - 41 (see Polarity of Thought)
point of departure - 31, 67, 119, Plate XXIII
point of suspension - 92, 105
point, center of gravity - 118, Plate XXIV
point, mathematical - 82
point, pivot - 103
points as notes - 107
points of percussion - 93
points of rest - 93
points of suspension - 104
poison - 81
polarity - 42
Polarity of Thought - 41, 42 (see poetry)
Pole, Mr. - 42, 45, 59, 78
poles, north and south - 107
position - 29, 37, 43, 68, 72, 84, 95, 115, 116, Plate XIX
position of equilibrium - 24
Position, Definition - 63
position, effects of - 84
position, first - 84
position, genetic - 121, Plate XXX
position, relative - 68, 72
position, second - 84
power in music - 35
power of 2 - 29, 107
power of 5 - 29, 37, 63, 95, 107
power of action - 87
power of five - 62, 63, 95, 107
power of three - 62, 63, 95, 107
power, first - 26, 27, 28, 29, 37, 95
power, second - 26, 27, 29, 37, 95
power, third - 27, 29, 37, 95
powers of 3 - 28, 29, 37, 63, 95, 107
powers of 5 - 63, 107
pre-note - 73
predominance of the fundamental chord - 18
pretty - 84
primary centers, three - 92
primary chromatic chord - 51
primary mathematical ratios - 37
primary ratios - 37, 95
primary, secondary, and tertiary manners, 48 chords in the - 115, Plate XVI
prime 11 - 75
prime 13 - 75
prime 2 - 8, 12, 26, 27, 31, 35, 59, 75, 76, 101, 102, 107
prime 3 - 8, 12, 27, 31, 59, 63, 66, 67, 75, 76, 77, 82, 84, 101, 102, 107
prime 5 - 8, 12, 27, 28, 31, 59, 63, 66, 67, 75, 76, 77, 82, 84, 101, 102, 107
prime 7 - 12, 75, 107
primes - 16, 27, 29, 42, 67, 68, 75, 77, 101, 102, 103, 107
Primes and their Genetic Operations, Primes - 103
primes, generating - 67, 77
primes, mathematical - 29, 68, 75, 107
primes, multiplying - 103
primitive chromatic chords, three - 57, 115, Plate XVI
primitive genesis - 109
primrose - 37
Princess, German - 107
principle of unity - 87
principle, aesthetical - 78
processes of nature - 81
progression - 7, 33, 37, 43, 44, 48, 49, 51, 54, 57, 65, 68, 69, 94
progression of harmonies - 51
progression of keys - 7
progression of major scale - 43
progression of scales - 14
progression, harmonic - 33
progression, musical - 97
progression, semitonic - 51, 52, 53, 57, 65, 68, 111, 112, 116, 121, Plate XI, Plate XIX, Plate XXIX
progressive roots - 110
projectile, falling - 104
prophecy - 36
prophetic gift - 20
proportion - 17, 18, 27, 31, 43, 44, 66, 121, Plate XXX
proportional to the vibrations, lengths are inversely - 100
proportionate degrees of a circle - 102
proportions of the notes - 20, 75
proportions, irrevocable - 118, Plate XXII
protoplasm - 19, 20, 25
Protoplasm of Music - 19
protoplasm of planets - 19
Protoplasm, definition - 25
Prov. xxi. 1. - 41
Prov. xxvii. 2. - 41
Prov. xxvii. 6. - 41
Prov. xxviii. 11. - 41
PROXIMATE AND DIFFERENTIAL OSCILLATIONS - 105, 129, Plate V
proximate meetings, 18, 105, 106
proximate period - 106
proximate way - 105
proximities, diverse - 91
proximity - 28, 40, 51, 91, 92, 95, 96, 98, 99
Proximity and Affinity, Tendencies of the Notes form - 91, 92
proximity, attraction of - 92
proximity, definition - 40
proximity, law of - 95
proximity, local - 28, 91
Psa. xix. 2. - 41
Psalm tunes - 93
Ptolemaic system of Astronomy - 11
pudding - 69
pulse - 19
pupil - 96
Pure Intonation and Temperament - 13
puzzled - 8, 12
quadrant - 27
quantities - 9, 31, 37, 38, 42, 44, 75, 79, 99
quantities and motions - 16, 44, 79
quantities are major the tones are minor - 44
quantities are minor the tones are major - 44
quantities of a string - 9, 44, 79 (See periods of vibration)
QUANTITIES OF STRINGS AND VIBRATIONS FOR MAJOR AND MINOR, RECIPROCAL - 118, Plate XXIV
quantities, mathematical - 99
quarter of the circle - 103
quarter tones - 20
quarter, first group - 103
quarter, third - 103
quasi root - 101
radial lines - 103
radius - 113
Rah - 67, 88
Rameau - 7, 9
Ramsay - 1, 7, 8, 9, 10, 17, 20, 21, 46, 48, 49, 74, 103, 105, 110, 111
Ramsay's Epistolary Teachings - 94
Ramsay's Extension of the Harmonics to "Six" Octaves - 111
Ramsay's Interest in Keely's Researches - 87
Ramsay's Letter-lessons - 95, 96, 97, 98, 99
Ramsay's Style of Teaching by Epistles - 94
Ramsay's Violin Varnish - 85
Ramsay’s letter - 94
range - 40
range, audible - 110
rapid region of the elastic vibrations - 106
rapidity - 22
rate of rapidity - 22
rate of speed - 22, 105
rate of vibration is nine times that of F1 - 105
rates of meeting - 16
ratio - 8, 12, 13, 14, 15, 21, 23, 25, 26, 27, 29, 30, 33, 35, 36, 37, 42, 60, 61, 68, 75, 76, 77, 88, 92, 94, 95, 99, 100, 102, 106, 107, 109, 110, 132, Plate VIII, Plate XXIV
ratio numbers - 67, 121, 132, Plate VIII, Plate XXX
RATIO NUMBERS, MATHEMATICAL TABLE OF THE MAJORS AND MINORS WITH THEIR - 109, 132, Plate VIII
ratio of 15:16 - 109
ratio of 16:27 - 110
ratio of 1:2 - 106, 109 (see 1:2)
ratio of 2 to 1 - 37 (see 2 to 1)
ratio of 27:32 - 109
ratio of 27:40 - 110
ratio of 2:3 - 106, 110 (see 2:3)
ratio of 32:45 - 110
ratio of 3:4 - 106, 110 (see 3:4)
ratio of 40:54 - 110
ratio of 45:64 - 105
ratio of 45:64 - 106, 110 (see 45:64)
ratio of 4:5 - 100 (see 4:5)
ratio of 4:5 - 109
ratio of 5:6 - 109
ratio of 5:8 - 110
ratio of 5:9 - 109
ratio of 80:81 - 25 (see 80:81)
ratio of 8192:8201 1/4 - 14 (see 8192:8201)
ratio of 8:15 - 109
ratio of 8:9 - 100, 105 (see 8:9)
ratio of 8:9 - 109 (see 8:9)
ratio of 9:10 - 100, 109 (see 9:10)
ratio of 9:16 - 109
ratio of the comma - 88, 100
ratio, fixed - 35
ratio, individual character of the - 106
Rational System of Music - 22
ratios ascending - 11, 43
ratios ascending - 90
ratios descending - 13, 43, 90
ratios of rate of rapidity - 22
ratios of relative motions - 21
ratios of the vibration-numbers - 110
ratios, attractive - 95
ratios, calculating - 22
ratios, complex - 95
ratios, mathematical - 39
ratios, multiplied - 43
ratios, musical - 75, 105
ratios, three - 61, 95
ratios, vibration - 117, Plate XXII
Ray - 67, 83, 88
realm of creation - 39
reasoning - 86, 99
reciprocal order - 79
Reciprocal Progression - 44
RECIPROCAL QUANTITIES OF STRINGS AND VIBRATIONS FOR MAJOR AND MINOR - 118, Plate XXIV
Rectilinear vibrations - 24
reed - 80
Reflection - 86
region of the #s - 113
region of vibrations - 118, Plate XXIII
region, low audible - 110
region, rapid, of the elastic vibrations - 106
region, silent - 87
related, directly - 106
relation, inverse - 103, 120, Plate XXVIII
relation, marriage - 106
relationship - 30
relative major - 89, 112, 113, 117, Plate XXI
relative minor - 31, 32, 40, 52, 53, 81, 109, 112, 113, 117, 120, Plate XXI, Plate XXII, Plate XXVIII
relative minor A - 88
relative minor of C - 31
RELATIVE MINORS, MATHEMATICAL TABLE OF THE TWELVE MAJOR SCALES AND THEIR - 117, Plate XXII
relative motions - 15, 16, 21
relative place - 63
relative position - 68
relative quantities - 16
relative relation - 63
relative scales - 117, Plate XXII
remedy - 100
repose - 91
reproduction - 77
resistance - 24
resolution - 36, 40, 51, 96, 111, 112, 115, 116, 119, Plate XI, Plate XVI, Plate XIX, Plate XXVI
resolution of chords - 36, 112
resolution, definition - 40
resolution, Secondary and Tertiary - 115
resolution, system of the Secondary andTertiary manner of - 115, Plate XVI
resolutions, 144 - 115, Plate XVI
resolutions, 216 - 115, Plate XVI
resolutions, 48 chromatic - 115, Plate XVI
resolutions, 72 - 115, Plate XVI
resolutions, chromatic - 116, 119, 141, 142, 143, 144, 150, Plate XI, Plate XVII, Plate XVIII, Plate XXVI, Plate XIX, Plate XX
RESOLUTIONS, DIATONIC, SIMPLE AND COMPOUND - 111, 135, Plate XI
resolve - 73, 94, 95, 96, 99, 116, 121, Plate XVII, Plate XVIII, Plate XXIX
resolving forces - 87
resolving notes - 99
RESOLVING, CHROMATIC CHORDS - 119, Plate XXVI
resources of harmony - 93
response, duality of - 112
rest - 21, 23, 27, 39, 93
rest, points of - 93
restitution, force of - 24
reveries - 72
revolution - 25
rhythmically vibrating body - 22
rhythms - 21, 37
rib - 67
right line - 23
river - 37
rod, middle of - 105
rod, uniform - 105
root - 8, 9, 10, 11, 12, 17, 18, 20, 25, 31, 32, 38, 43, 46, 47, 49, 50, 52, 53, 54, 55, 56, 57, 66, 67, 71, 75, 76, 77, 83, 84, 85, 95, 97, 98, 99, 100, 102, 103, 105, 108, 111, 112, 116, 119, 120, 121, Plate X, Plate XI, Plate XVII, Plate XVIII, Plate XXIX
root and generator of the third - 49
root C - 105
root F - 105
root G - 52, 105
root note - 75
root of all, sixth octave - 111
root of dominant - 53, 71, 97, 105, 112
root of dominant minor - 54
root of major chord - 53
root of major dominant - 70, 71
root of major subdominant - 28, 43, 46, 101
root of minor subdominant - 50, 54, 56, 62
root of subdominant - 8, 9, 11, 28, 38, 49, 53, 62, 66, 71, 76, 83, 84, 85, 88, 97, 98, 112
root of subdominant chord - 28, 49, 66
root of subdominant major - 28, 38, 43, 46, 54, 100
root of subdominant minor - 38, 50, 54, 56, 99
root of the chord - 31
root of the distant subdominant - 120, 121, Plate XXIX
root of the dominant - 111
root of the dominant G - 105
root of the fifth - 97
root of the major - 88
root of the major dominant - 70, 71
root of the major subdominant - 81, 121, Plate XXX
root of the major tonic - 99
root of the minor subdominant - 54, 67, 101
root of the relative minor - 53
root of the scale - 11
root of the second - 20, 77, 96, 97
root of the separated subdominant - 121, Plate XXIX
root of the subdominant - 71, 76, 83, 85, 88, 98, 102, 111, 112, 120, Plate XXIX
root of the subdominant minor - 99
Root of the System - 102
root of the third - 20, 96, 97
root of the tonic - 8, 11, 47, 53, 72, 95, 96, 97, 99, 100, 105, 111, Plate XI
root of the whole system - 103
root of three chords - 76
root of tonic chord - 11, 95, 96, 99
root of tonic major - 99, 100
root of tonic minor - 99, 100
root of triad - 101
root, fundamental, sixth octave of the - 110
root, generative - 88
root, genetic of all, F - 101
root, octave note of its - 110
root, quasi - 101
roots and tops of the minor system of chords - 103
roots of the chords of the dominant - 53
roots of the chords of the subdominant - 53
roots of the chords of the tonic - 53
roots of the major system of chords, tops and - 103
roots of the musical plant - 110
roots of the three chords of a key - 110
Roots of the three Chords, three - 102, 108, 110
roots, aerial - 110
roots, major - 67
roots, octave - 119, Plate XXIII
roots, progressive - 110
roots, three - 103
Rothesay - 8
Rothesay Library - 8
rotten stone - 85
rule - 94, 95
rule, commensurable - 75
rule, operative - 121, Plate XXIX
rule, perfect measuring - 75
S C E G, T G B D, D D F# A - 83
S F A C, T C E G, D G B D - 82
S, 9, 8, 9, 5 - 104
sandpaper - 85
satellites - 57, 96
savage state of man - 78, 79
Savart - 21
scale - 8, 9, 11, 12, 14, 17, 19, 20, 21, 26, 27, 28, 30, 31, 32, 34, 35, 36, 37, 38, 39, 43, 44, 45, 46, 47, 48, 49, 50, 51, 64, 66, 79, 82, 90, 91, 98, 99, 106, 109, 113, 117, 120, 121, Plate XXI, Plate XXII, Plate XXVII, Plate XXX
scale of A - 62, 80, 84, 108
scale of A minor - 88, 117, Plate XXII
scale of A, tonic chord of - 108
scale of A♭ - 80
scale of B major - 80
scale of B♭ minor - 80
scale of C - 30, 38, 47, 82, 83, 88, 100, 108
scale of C major - 88, 117, Plate XXII
scale of C, tonic chord of - 108
scale of D - 62, 83
scale of E - 80, 108
scale of E Minor - 90, 91
scale of E six flats minor - 80
scale of E, subdominant chord of - 108
scale of F - 80, 90
scale of F major - 90
scale of F six sharps major - 80
scale of G - 12, 47, 62, 82, 83, 108
scale of G Major - 91
scale of G, subdominant chord of - 108
scale of harmonics - 110
scale of man's five senses - 86
scale of mathematical intonation - 34, 35
scale of music - 75
scale of Nature - 46
scale of notes - 43
scale of semitonic advance - 116
scale of the fifth, minor - 65
scale of the relative major - 89
scale of the relative minor - 89
scale of the super-relative - 89
scale of thirty two notes - 151, Plate XXVII
scale of twelve semitones - 35, 120, Plate XXVII
Scale, Area of - 106, 107
scale, bottom of - 49
scale, chord - 79
scale, chromatic - 56, 69, 72, 114, 120, Plate XV, Plate XXVII
scale, compound - 64, 65 (see Natural Scale)
scale, Diatonic - 64, 72, 104
scale, dual genetic - 113
scale, genesis - 63, 103, 105, 117, Plate XXII
scale, genetic - 61, 66, 67, 79, 81, 113
scale, great genetic - 79, 81
scale, harmonic - 79
scale, harmony - 79
scale, key-note of - 106
scale, major - 87, 88, 103, 106, 108
scale, masculine - 117, Plate XXII
scale, mathematical abnormality - 89
scale, melodic - 84, 88, 110
scale, minor - 87, 88, 90, 103, 106, 108, 114
scale, natural - 26, 51, 64, 65, 66, 77, 79, 86, Plate XXV
scale, natural major - 65
scale, octave - 35, 86, 88, 91, 95, 97, 117, Plate XXII
scale, of the fifth - 64, 66
scale, primitive - 46
scale, second of - 99
scale, semitonic of twelve notes - 107
scale, six chords of - 97
scale, tempered - 36, 80
scale, thirteenth - 86, 118, Plate XXIII
Scale, Three Fifths which constitute the - 106
Scale, Vertebral Column of the Musical - 113
scales - 11, 12, 13, 14, 15, 17, 19, 26, 29, 30, 35, 39, 42, 43, 44, 46, 48, 63, 64, 65, 78, 80, 83, 86, 87, 90, 91, 107, 109, 112, 114, 116, 118, Plate XV, Plate XVII, Plate XVIII, Plate XXII
scales by semitonic advance - 116, Plate XXI
scales of music - 17
scales, development of - 109
Scales, Evolution of Advancing - 83
scales, Genesis of - 109, 117, Plate XXII
scales, major - 52, 62, 88, 90, 109, 112, 114, Plate XIV
scales, major and minor - 14, 43, 44, 90, 112, 113, 136, Plate XII
scales, major, chords of - 108
scales, mathematical - 118, Plate XXIII
SCALES, MATHEMATICAL AND TEMPERED - 118, PLATE XXIII
scales, minor - 112
scales, relative - 117, Plate XXII
scales, series - 84
scales, six major - 90
scales, six octaves required for birth of - 102
scales, six successive - 88
scales, spiral of mathematical - 118, Plate XXIII
scales, succession of - 89
scales, tempered - 115, 147, Plate XVI, Plate XXIII
scales, thirteen - 86, 115, Plate XVI
scales, twelve - 62, 80, 109, 113, 117, 118, 119, Plate XXII, Plate XXVII
scales, twelve minor - 62, 109
scales, twelve tempered - 80, 118, Plate XXII
scales, twelve, common center of - 113
scales, twenty five - 116, Plate XVII, Plate XVIII
scales, twenty four - 114, 116, Plate XV, Plate XVII, Plate XVIII, Plate XXI
scales, types of - 116, Plate XVII, Plate XVIII
scales, upward genesis - 63
schism - 75
Schubert - 34
Science of Music - 8, 9, 10, 13, 20, 33, 34, 36, 110, 111, 122, Plate X (see sculpture)
science of the mathematical theorists - 34
science, musical - 40
science, physical - 34
scientific basis of music - 33, 78
scientific principles - 34
sealed - 39
second - 8, 15, 16, 17, 19, 20, 21, 23, 26, 27, 28, 29, 37, 47, 48, 49, 50, 52, 57, 61, 68, 71, 75, 81, 83, 96, 110, 113, 120
second cycle of keys - 89
second octave - 17
second of the major - 109, 113
second of the scale - 99
second position - 84
second power - 26, 27, 37
second string, open - 100
second, 8 comma - 71, 75, 120, Plate XXVIII
second, 9 comma - 71, 75, 120, Plate XXVIII
second, comma higher - 113
second, large, 9 commas - 75, 100, 113
second, major - 117, Plate XXII
second, medium, 8 commas - 75, 100, 113
second, root of - 97
second, semitonic - 71
second, sharp - 51, 52, 113
second, small, 5 commas - 75, 113
second, top of - 97
secondary - 34, 36
Secondary and Tertiary manner of resolution, system of the - 115, Plate XVI
Secondary and Tertiary resolution - 115
secondary note - 36
secondary, and tertiary manners, 48 chords in the primary, - 115, Plate XVI
seconds - 110, 117, Plate XXII
seconds, areas of - 113
seconds, seven of three magnitudes - 109
seconds, seven, of the melodic scale - 110
seconds, three genetic magnitudes of - 110
secret of Nature - 118, Plate XXIV
Secret Store - 54
sections, ten - 92
Sedley Taylor's Scales - 13
seed-bed - 66
segment, string - 58
self-duality - 57, 101
semitone - 20, 35, 36, 47, 55, 56, 64, 65, 68, 69, 95, 107, 115, 116, 117, Plate XV
semitone interval - 100
semitone progression - 53, 68, 94, 116, 121, Plate XVII, Plate XVIII, Plate XIX, Plate XX, Plate XXIX
semitone, successive - 115
semitones - 20, 33, 35, 36, 45, 47, 48, 50, 52, 64, 108, 116, 117, Plate XXI
semitones of the chromatic scale - 35
semitones symmetrically in the middle - 45
semitones, diatonic - 52
semitones, octave of - 101
semitones, twelve - 56, 72, 108, 114, Plate XV
semitones, two - 64
semitonic - 71, 72, 80
semitonic 12-foldness - 33, 72
semitonic advance - 116, Plate XXI
semitonic interval - 50, 99
semitonic necessities - 80
semitonic progress - 94
semitonic progression - 51, 52, 53, 57, 65, 68, 94, 111, 112, 116, 121, Plate XI, Plate XVIII, Plate XIX, Plate XXIX
semitonic scale - 107
semitonic scale of 12 notes - 107
semitonic second - 71
Sensation - 86
senses - 21, 104
senses, art - 104
senses, scale of man's five - 86
sequence, unbroken - 25
series of chords - 48
series of fifths - 84
series of numbers - 117, Plate XXII
series of octaves - 26
series of scales - 84
series, first - 86
service - 62
seven - 11, 17, 18, 19, 20, 29, 35, 39, 48, 49, 80, 107, 110
seven black keys - 80
seven circles - 18
seven corresponding fourths - 110
seven corresponding sevenths - 109
seven corresponding sixths - 109
seven days - 110
seven days in the week - 110
seven different notes - 96
seven differential periods - 106
seven fifths - 110
seven notes - 19, 34, 76, 88, 96, 103, 106
seven octaves - 35, 39, 79, 118, Plate XXII (see twelve fifths)
seven octaves unite in one note - 35
seven seconds of the melodic scale - 110
seven seconds of three magnitudes - 109
seven sevenths - 109
seven sharps - 80
seven sixths - 109
seven thirds - 109
seven times 3 - 106
seven times 3:4 - 106
seven times 4 - 106
seven times in octaves - 29
seven, We are - 20
seven-fold group of three magnitudes - 110
seventeenth - 59
seventh - 14, 17, 29, 47, 49, 59, 66, 79, 83, 98, 100, 109, 113
seventh note - 97
seventh octave - 63, 79
seventh octave, top of - 79
seventh, diminished - 51, 52
seventh, dominant - 49, 52, 54, 55, 70, 71, 72, 79, 110, 111, Plate XI
seventh, major - 113
seventh, sharp - 59, 99, 113
sevenths - 110
sevenths, seven corresponding - 109
sex - 41, 66
sex, modes - 66
sexual distinction of major and minor - 66, 109, 117, Plate XXII
sexual note - 90, 91, 112, 117, Plate XXII
sharp - 14, 30, 43, 44, 47, 52, 54, 56, 62, 63, 82, 83, 84, 90, 91, 94, 100, 109, 115, 116, 151, Plate XVII, Plate XVIII
sharp = four commas - 62
sharp phase - 120, Plate XXVII
sharp second - 51, 52
sharp seventh - 59, 99, 100, 113
sharpened notes - 107, 108
sharps - 30, 43, 44, 80, 83, 84, 88, 89, 108, 109, 113, 114, 117, 118, 119, 120, Plate XV, Plate XXI, Plate XXII, Plate XXIII, Plate XXVII
sharps and flats, twelve - 114, Plate XV
sharps major - 80
sharps, eleven - 115
sharps, seven - 80
Sheffield - 93
Shifting Key with its unaltered form - 114
shot - 29
Sicily - 93
signature - 56, 108, 113, 114, 115, 116, 118, 145, Plate XVII, Plate XVIII, Plate XXI, Plate XXIII
signature-number - 114
silence - 86
silence of interior vibrations, high - 87
silence of interior vibrations, low - 87
silence of pendulum-oscillations - 16, 39, 86, 87
silences - 39, 110
silences, high - 110
silences, low - 110
silent harp - 86, 104
Silent Harp of Pendulums - 86, 111
silent oscillations - 39
silent oscillations of the planetary bodies - 39
silent region - 87
simple chord - 79, 110
simple natural scale - 79
simple ratios - 26
simple sound - 18, 58
simple vibration - 18
simplicity - 33, 79
simplicity, order of - 79
simultaneous - 23
Sinclair - 33
single vibrations - 22
sink, tending to - 72, 91, 96
sinks - 96
six chords - 68, 97
six chords of the scale - 97
six days of creation - 67
six diatonic chords -104
six fifths - 66, 85
six flats minor - 80
six generations of harmony - 67
six intervals - 110
six major scales - 14, 90
six octaves - 17, 19, 66, 110
Six Octaves required for the Birth of the Scale - 102
Six Octaves, Ramsay’s Extension of the Harmonics to - 111
six relative majors - 112
six relative minors - 112
six sharps major - 80
six successive major scales - 88, 89
six successive minor scales - 89
six-octave genesis - 91
sixteen circles - 18
sixth - 28, 29, 47, 66, 94, 98, 109, 117
sixth note - 97
sixth octave - 110
sixth octave of the fundamental root - 110, 111
sixth octave of the root of all - 111
sixth of the scale - 94
sixth scale of the Majors - 108
sixth, flat - 113
sixth, major - 113
sixth, position - 29
sixth, subdominant - 49, 54, 55, 70, 81, 98
sixths, seven corresponding - 109
skismas - 20
small minor third D to F - 38
small second 5 commas - 113
small tone - 94, 95, 99
Smith - 23
snake in the grass - 116, Plate XIX
soar - 72, 91, 96
social order in music - 35
society of chords - 101, 110
society of perfect chords - 101
Sol Fa - 67, 83, 111
Solar System - 30, 39, 96
solemn, subdominant - 91
Solid Octave - 66
solid substances - 39
sound - 3, 8, 16, 17, 18, 19, 20, 21, 22, 23, 24, 39, 58, 63, 86, 87
sound developed - 17
sound host - 21
sound is composed of three sounds - 59
sound, affiliated - 58
sound, chief - 59
sound, fundamental - 111
sound, musical - 58
sound, mysterious - 106
sound, parts of - 63
sound, perspective - 59
sound, simple - 58
sound, third - 61
sound-stuff - 20
sounding glass - 22
sounding instruments - 102, 104
sounding string - 22
sounds, affiliated - 58
sounds, difference - 60
sounds, hosts of - 22
sounds, musical - 26, 61, 78, 106
sounds, twenty-five - 59
south pole - 107
space - 19, 24, 82, 107, 110
space, comma - 118, Plate XXIV
space, inner - 110
space, outer - 110
spaces - 102
species - 70
specific gravity - 28, 35, 37, 43, 95, 96, 98
specific levity - 28, 35, 37, 43, 95, 96, 98
SPECIMEN OF RAMSAY'S TEACHINGS, AND OF HIS STYLE OF CRITICISM - 94
speed of oscillation - 105
Spencer, Charles Child - 22
sphere of centers - 92
sphere of measures - 92
sphere of numbers - 92
sphere of twelve keys - 39
sphere of vibrations - 39
sphere, first, second & third - 86
sphere, major or minor - 69
spheres - 87
spheres of measures - 92
SPHERES, OPERATIONS OF DUALITY IN VARIOUS - 120, Plate XXIX
spheres, three - 86
spice - 69
spiral - 117, 118
spiral line - 38, 89, 116, 117, Plate XXI, Plate XXI
spiral of scales - 118, Plate XXIII
spiral-ellipse - 116, Plate XXI
spiritual - 33
spiritual constitution of music - 37
spiritual mysteries - 40
spiritual realm - 88
spiritual sight - 21
spring - 80
square - 12, 26, 27, 31, 106
square and cube - 26, 27, 31
square and the circle - 27, 106
square of 3 - 12 (see 3, power of 3)
squares, three - 108
staff - 110, 114, Plate XV
stars - 118, Plate XXII
stars, double - 114
state of vibration - 22
state, inorganic - 29
state, organic - 29
stave - 108, 113, 114, 116, 119, 120, Plate XXVII
stave, circular - 116, Plate XVII, Plate XVIII
stave, major - 113
stave, minor - 113
stave-notation - 115, Plate XVI
stem, creeping - 110
step - 21, 47, 48, 49, 90, 109
step, 5 comma - 48
step, 9 comma - 48
step, larger - 109
step, lesser - 109
steps, Nature’s beautiful - 118, Plate XXIII
stopped note - 92
straight lines - 108
strawberry - 110
strawberry, creepers of the - 110
stream of harmony - 84, 88
stream, edges of - 84
striking the tonic - 94
string - 96119, Plate XXIII
string length - 18, 21, 27, 31, 75, 76, 79, 80, 87, 88, Plate IV, Plate XXIV
string length numbers - 76
string lengths are inversely proportional to the vibrations - 100
string proportions in the major are the numbers of the vibrations in the minor - 118, Plate XXIV
string quantities and motions - 79, 80
string segments - 58
string sympathy - 60
string, E - 99, 100
string, elastic - 22, 25
string, middle of - 92
string, nine-tenths - 92
string, open - 99
string, quantities - 31, 44, 79, 80, 87, 100
string, sounding - 22
string, tension - 86
string, tenth of - 92
string, vibrating - 19, 21, 23, 24, 44, 58, 87, 100
string, whole - 92
string-length - 87, 100
String-lengths for the Major are the Vibrations of the Minor - Plate XXIV
String-lengths for the Minor, Vibrations of the Major are the - 44, 118, 148, Plate XXIV
string-proportions - 118, Plate XXIV
string-proportions of the minor mode, numbers for the - 118, Plate XXIV
STRINGS AND VIBRATIONS FOR MAJOR AND MINOR, RECIPROCAL QUANTITIES OF - 118, Plate XXIV
structure - 38, 69, 106
structure arrangement - 106
structure of music, organic - 9, 95
structure of the visible world, ultimate and invisible dynamic - 118, Plate XXIII
styles of composition - 78
sub-relative - 113
sub-relative major - 113
sub-relative major - 89, 113
subdominant - 8, 9, 11, 14, 17, 28, 29, 32, 37, 38, 43, 46, 49, 50, 53, 57, 66, 67, 68, 71, 72, 76, 77, 79, 81, 83, 84, 85, 91, 93, 95, 96, 97, 98, 103, 104, 105, 106, 108, 110, 112, 114, 115, 120, 121, Plate IV, Plate VI, Plate XVI, Plate XXIX
subdominant is the fifth below - 91
subdominant A - 95
subdominant and tonic of the new key - 94
subdominant chord - 28, 53, 57, 61, 66, 70, 71, 72, 81, 95, 96, 98, 102, 104, 105, 108, 111, 115, Plate XI, Plate XVI, Plate XXIX, Plate XXX
subdominant chord of d F A C - 81
subdominant chord of the scale of G - 108
subdominant chords of the diatonic scale - 53
subdominant chromatic chord - 53
subdominant F - 46, 95
subdominant fourth - 70
subdominant in key - 17
subdominant major - 38, 43, 54, 65, 100, 103
subdominant middle in the minors - 62
subdominant minor - 38, 54, 55, 56, 62, 67, 70, 71, 99, 100, Plate XXV
subdominant minor, root of - 99
subdominant of A - 14
subdominant of the scale of E - 108
subdominant seventh - 70
subdominant sixth - 49, 54, 55, 70, 81, 98
subdominant tonic - 37
subdominant, chord of harmony - 108
subdominant, compounded - 98, 112
Subdominant, Definition - 63
Subdominant, definition - 63
subdominant, effects of - 29, 95
subdominant, F root of -105
subdominant, FAC - 82
subdominant, fifth - 106
subdominant, first note - 72
subdominant, grave - 91
subdominant, major - 54, 55, 101
subdominant, middle of - 97, 112, 120, Plate XXIX
subdominant, minor - 77
subdominant, root of - 8, 62, 71, 76, 83, 84, 97, 98, 102, 111, 112, 120, Plate XXIX
subdominant, root of the distant - 120, 121, Plate XXIX
subdominant, root of the separated - 121, Plate XXIX
subdominant, solemn - 91
subdominant, top of - 111
subtle vibrations - 39
subtracting - 48
succession of chords - 68, 103, 111
succession of scales - 89
succession, chromatic - 68
succession, melodic - 91
successive chords - 68, 97
successive keys - 56
successive scales, six - 88
successive semitone - 115
successive time - 23
sugar - 69
summation - 101
Sun - 11, 29, 96
sunken state of man - 79
superflous intervals - 8
supplemental A♭ - 55
supreme octave - 35
suspension, point of - 92
suspensions - 92
sustained pitch - 24
sweet blending of sympathy - 87
sweetness - 37, 87, 112
sweetness of music - 87
swing - 25
symbol - 78, 110
symbolic meaning - 110
symmetrical adjustments - 121, Plate XXIX
symmetrical form - 79
symmetrical order - 45
symmetry - 37, 45, 46
Symmetry an Expression of Duality - 45
symmetry is duality - 46
sympathetic association - 87
sympathetic vibration - 60
sympathy - 58, 60, 70, 86, 87
sympathy, augmentation from - 86
sympathy, blending - 87
system - 15, 16, 17, 26, 28, 29, 30, 31, 32, 34, 35, 36, 38, 40, 42, 43, 44, 48, 49, 50, 96, 103
system of atoms - 48
system of chords and resolutions - 9
system of chords, tops and roots of the major - 103
system of major and minor - 38
system of motions in pendulums - 15
System of music - 22, 30, 35, 36, 38, 51, 82, 96
System of Musical Sounds - 16, 26, 96
System of musical vibrations - 9, 15, 16, 102, 111
System of Musical Vibrations, Diatonic - 57, 102
system of proportion - 9, 31, 44
system of resolutions - 28
system of scales and modes - 78
system of the Secondary and Tertiary manner of resolution - 115, Plate XVI
SYSTEM OF THE THREE PRIMITIVE CHROMATIC CHORDS - 115, 140, Plate XVI
system of three ratios - 61
system of twelve fifths - 30
system of vibration, genesis of the - 110
system of vibrations - 8, 15, 16, 17, 118, Plate XXIV
system of vibrations, center of gravity of the musical - 118, Plate XXIV
system within system - 40
system, center of dual - 81
system, chromatic chord - 55
system, defined - 96
system, dual - 119, Plate XXIII
system, major - 111
system, musical, three chords of - 102
System, Root of the - 102, 103
system, tempered - 118, Plate XXII
system, twofold - 64
T C E G, D G B D - 82
T, 9, 8, 5, 9 - 104
T. D. S. T. compound D. T. - 94
T. D. T. S. T. - 94
Table of Mathematical Intervals and Keys - 89
table of tetrachord modes - 46
Table of Twelve Major Scales and their relative Minors, Mathematical - 117, 146, Plate XXII
TABLE, MATHEMATICAL, OF THE MAJORS AND MINORS WITH THEIR RATIO NUMBERS - 109
table, twofold mathematical - 117, Plate XXII
Tartini, Guiseppe - 7, 59, 60
taste - 78
Taylor, Sedley - 13, 14, 34
Te - 83
tempered instrument - 36, 109
tempered key - 30
tempered scale - 30, 36, 80, 89, 115, 118, 147, Plate XVI, Plate XXIII
TEMPERED SCALES, MATHEMATICAL AND - 118, 147, PLATE XXIII
tempered scales, twelve - 80
tempered system - 13, 29, 30, 43, 74, 118, Plate XXII
tempering - 29, 80
Ten Chords of Music - 104
ten different quantities and motions - 16
ten sections - 92
Tendencies of the Notes form Proximity and Affinity - 91
tendencies, downward - 95, 98
tendencies, upward - 95, 98
tendency - 28, 29, 37, 91, 95, 98
tendency towards the center - 107
tendency, gravitating - 96
tendency, natural - 109
tending to sink - 91
tending to soar - 91
tension - 86
tenth of the string - 92
terminal chord - 110
Tertiary manner of resolution, system of the Secondary and - 115, Plate XVI
tertiary manners, 48 chords in the primary, secondary, and - 115, Plate XVI
tertiary resolution - 115
Test-Agent - 121, Plate XXIX
tetra - 63
tetrachord - 45, 46, 63
tetrachord modes - 46 - 46
Tetrachord, Definition - 63
The # and the ♭ between two notes overlap - 109
The Choir - 34
The Genesis - 103
The Mathematical and Tempered Scales - 118, 147, Plate XXIII
The Music Plant - 20
The Olio - 36
The Science of Music - 122
The Vertebral Column of the Musical Scale - 47, 113, 114, 137, Plate XIII
theorists - 34
theory - 34
theory of grave harmonics - 7
theory of harmony - 7
third - 8, 12, 18, 26, 27, 31, 38, 52, 55, 61, 66, 68, 71, 77, 83, 93, 102, 107, 109, 113, 120, Plate XXVII
third chord - 65, 67, 102
third cycle of keys - 89
third fifth - 77
third finger - 100
third finger on the second string, D - 100
third finger on the third string, G - 100
third from D to F - 12
third note - 28, 98
third octave - 17
third power - 27, 37
third powers of 3 - 37
third quarter - 103
third sound - 60, 61
third string - 100
Third to this third chord - 102
third tone - 60
third two - 97
third, 5-9 comma - 83
third, 8-9 comma - 82, 83
third, 9-6 comma - 82
third, lower - 68, 117, Plate XXII
third, major - 61, 92, 100
third, minor - 52, 54, 55, 56, 61, 73, 76, 81, 104, 106, 115, 117, 120, Plate XXII, Plate XXVIII (see Minor Thirds)
third, perfect - 75
third, root of - 97
third, upper - 68
thirds of (the) chords - 27, 31, 107
thirds which the fifths contain - 68
thirds, added - 71
thirds, comma-measures of the various - 113
thirds, comparative areas of - 113
thirds, four minor - 115
thirds, hemisphere - 107
Thirds, Interesting variety of - 113
thirds, seven - 109
thirteenth keys - 29, 74, 115
thirteenth mathematical scales - 89
thirteenth scale - 14, 27, 29, 30, 89, 115, 118, Plate XXIII
three - 38, 63, 73, 74, 76
three adjacent semitones - Plate XV
three centers - 76, 92, 105
Three Centers in a Uniform Pendulum - 105
Three Centers in Music - 105
three chord, three times - 103
three chords - 18, 19, 20, 37, 76, 102, 110
three chords in Music - 105
three chords of a key - 110
three chords of a key, roots of the - 110
three chords of harmony - 108
three chords of the Diatonic Scale - 19
three chords of the major - 70, 76, 121, Plate - XXX
three chords of the major mode of the scale - 121, Plate - XXX
three chords of the musical plant - 110
three chords of the musical system - 102
three chords of the musical system major - 53
three chords of the musical system minor - 53
three chords of the successive scales - 108
three chords of three different notes - 96
three chromatic chords - 53, 56, 72, 94, 104
three different notes - 96
three different units - 53
three fifths - 38, 39, 66, 74, 76, 79, 106
three Fifths - subdominant, tonic, and dominant - 106
Three Fifths which constitute the Scale - 106
three genetic magnitudes of seconds - 110
Three in One - 17, 18, 78, 103
three keys - 62, 63
three magnitudes - 47, 109
three major keys - 14
three minor chords, middles of the - 103
three minor keys - 14
three notes - 18, 28, 31, 53, 77, 95, 96, 97
three octaves - 92, 120, Plate XXVIII
three octaves and a major third - 92
three oscillations - 102
three parts of octave - 101
three primary and pregnant ratios - 26
three primary centers - 92
three primary ratios - 15, 16, 17, 26, 53, 95
Three Primes and their Genetic Operations - 103
Three Primitive Chromatic Chords, System of the - 140, Plate XVI
three ranges of vibration - 86
three ratios - 61, 95
three roots of the three chords - 102, 103
three sounds - 59
three spheres - 86
three squares - 108
three three times - 42
three times by three, dividing - 81
three times by three, multiplying - 81
three times three - 81, 96, 104
three times three are nine - 96
three times three chord - 103, 104, 110
three times three major - 104
three times three minor - 104
three, diatonic - 57
three, powers of - 95
three-fold - 57, 121, Plate XXIX
Three-in-One - 17
three-times-three chord - 42, 103, 110
threefoldness - major, minor, and chromatic - 35
threefoldness-major - 35
threes, order of - 97
thrice-threefold chord - 103
tides - 90
timbre - 78
time - 23, 24, 53, 92
time and distance - 15
time, successive - 23
tone - 85, 87, 92, 100, 107
tone, errors - 99
tone, musical - 78
tone, small - 94, 95
tone, third - 60
tones of the octave - 107
tones of the scale - 45, 48, 78
tones, partial - 78
tonic - 8, 11, 14, 17, 37, 38, 47, 53, 63, 67, 68, 71, 72, 76, 91, 93, 94, 95, 97, 98, 99, 100, 104, 105, 106, 107, 108, 110, 111, 113, 114, Plate IV, Plate VI
tonic and dominant of the key - 94
tonic as center chord - 91
tonic as center of attraction and repose - 91
tonic C - 72, 95
tonic CEG - 82
tonic center - 28, 36, 91, 95, 96, 107, 113
tonic chord - 11, 14, 17, 28, 29, 31, 36, 37, 51, 52, 53, 57, 64, 65, 67, 68, 70, 71, 73, 76, 91, 94, 95, 96, 97, 98, 100, 104, 105, 107, 108, 110, 111, 112, 114, 115, Plate XI, Plate XIV, Plate XVI, Plate XXIX, Plate XXX
tonic chord D - 14
tonic chord of E♭ minor - 52
tonic chord of harmony - 108
tonic chord of the balance - 76
tonic chord of the key of A minor - 52
tonic chord of the key of C major - 52
tonic chord of the key of F# major - 52
tonic chord of the scale of A - 108
tonic chord of the scale of C - 108
tonic chord, center of - 95, 99, 108
tonic chords of the diatonic scale - 53
tonic chords, twelve major - 116, Plate XVII, Plate XVIII
tonic chords, twelve minor - 116, Plate XVII, Plate XVIII
tonic chromatic chord - 53
tonic dominant - 97
tonic E - 63, 95
tonic G - 72, 95
tonic is melodious - 91
tonic is the center chord - 76, 91
tonic is the middle fifth - 106
tonic major - 28, 57, 65, 71, 99, 100, 103
tonic major, top of - 99
tonic minor - 57, 65, 99, 100
tonic minor, top of - 99
tonic notes - 98, 99
tonic of B - 94
tonic of C - 94
tonic of C - 94
tonic of E - 63
tonic of F - 94
tonic of the new key - 94
tonic subdominant - 97
tonic, center of attraction - 113
tonic, chord of harmony - 108
tonic, compound - 110
Tonic, Definition - 63
Tonic, definition - 63
tonic, effects of - 29, 95
tonic, harmony finds equilibrium in - 91
tonic, is a fifth - 106
tonic, lowest note of is key-note of scale - 106
tonic, major - 70, 71, 99
tonic, middle of - 95, 97, 111, 112, Plate XI
tonic, root of - 8, 47, 95, 97, 99, 105, 111
tonic, striking - 94
tonic, top of the - 97, 111, 112
top - 66, 67, 71, 72, 77, 79, 81, 85, 97, 99, 100, 101, 103, 116, 120, Plate XVII, Plate XVIII, Plate XXIX
top chord - 81
top chord of the major system - 81, 100
top note of the first chord - 49
top of dominant - 28, 31, 38, 43, 46, 49, 50, 56, 62, 83, 85, 95, 97
top of key of C - 62
top of major dominant - 28, 50, 101
top of major dominant - 67
top of subdominant - 97, 111
top of the diatonic minor - 101
top of the dominant - 71, 76, 82, 83, 84, 85, 93, 95, 97, 98, 110, 111, 112, 120, Plate XXIX
top of the dominant chord - 110, 111, 112
top of the dominant major - 38, 54, 56, 62
top of the dominant minor - 38, 43, 54
top of the feminine dominant - 117, Plate XXII
top of the first - 20, 66, 77, 97
top of the first chord - 96, 97, 103
top of the fourth - 97
top of the major - 53, 57
top of the major dominant - 103
top of the major tonic chord - 57
top of the minor dominant - 43, 46, 81
top of the minor subdominant - 70, 71
top of the minor tonic chord - 57
top of the minor, generative - 88
top of the relative minor - 53
top of the second - 20, 96
top of the separated dominant - 120, Plate XXIX
top of the seventh octave - 79
top of the subdominant - 111
top of the third fifth - 77
top of the tonic - 63, 72, 97, 111, 112
top of the tonic major - 99
top of the tonic minor - 99
top of the whole major chord-scale - 81
top of twelfth fifth - 79
tops - 31
tops and roots of the major system of chords - 103
tops of the minor system of chords, roots and - 103
tops, minor - 67
Tranquility - 93
Treatise on Music - 22
TREATISE ON THE CHROMATIC SYSTEM - 50, 69, 73
treatise, chromatic - 69, 73
trembling - 106
tremor - 93
triad - 50, 53, 54, 55, 101, 102
triad, chromatic - 54
triad, diatonic chromatic - 54
triad, imperfect - 52
Triad, Minor - 50
triad, minor third - 55
triad, quasi root of - 101
Trinity - 78
triplet - 48, 49, 52, 53, 54, 55
Triplet, definition - 53
triplet, diatonic - 57
triplets of the major - 54
triplets of the minor - 54
True Genesis - 9
True Unit for the Mathematical Scales - 11
truth - 13, 42, 107
truth, musical - 107
tune - 84, 85, 90, 94, 104
tuning fork - 22
turn - 94
turpentine - 85
twelfth - 59
twelfth fifth - 30, 63, 79
twelfth fifth, top of - 79
twelfth key - 108
twelve - 35, 48, 74
twelve divisions - 34, 35
twelve equal semitones - 36
twelve fifths - 30, 35, 39, 74, 79, 80, 118, Plate XXII
twelve fifths apart - 14
Twelve is the natural number for the mathematical scales - 115, Plate XVI
twelve keys - 30, 39, 63, 69, 118
Twelve Major Keys - 40, 62, 79, 108, 115, 116, Plate XVII
twelve major scales - 46, 79, 109
TWELVE MAJOR SCALES AND THEIR RELATIVE MINORS, MATHEMATICAL TABLE OF THE - 117, 146, Plate XXII
twelve major tonic chords - 116, Plate XVII, Plate XVIII
twelve mathematical scales - 30, 89
Twelve Minor Keys - 40, 62, 79, 108, 116, Plate XVIII
twelve minor scales - 62, 79, 108, 109
twelve minor tonic chords - 116, Plate XVII, Plate XVIII
twelve minors - 115
twelve notes - 120, Plate XXVII
twelve scales - 30, 48, 62, 80, 108, 113, 114, 115, 117, Plate XV, Plate XXII, Plate XXII
Twelve Scales a thing of Life, Evolution of the - 110
twelve scales, common center of the - 113
Twelve Scales, Law of - 118, Plate XXII
Twelve Scales, Mathematical Notes of the - 119, Plate XXVII
twelve semitones - 33, 35, 36, 47, 56, 69, 99, 100, 108, 114, Plate XV
twelve sharps and flats - 114, Plate XV
twelve tempered scales - 80, 118, Plate XXII
twelve times 2:3 - 106
twelve times 3 - 106
twelve times in fifths - 29, 56, 114
twelve times, doubling - 29, 56
twelve two-fold keys - 118, Plate XXII
twelve, circle of - 115
twelve, divisibility - 35
twelve, Natural number - 30
twelve-fifths - 30, 35, 39, 80, 114
Twelve-fold family of keys - 20
twelve-foldness - 72
twenty five circles - 18
twenty five scales - 116, Plate XVII, Plate XVIII
twenty five sounds - 59
twenty four scales - 114, 116, Plate XV, Plate XVII, Plate XVIII, Plate XXI
twenty-fifth part - 15
TWENTY-FOUR SCALES WITH THEIR SIGNATURES IN SHARPS AND FLATS - 116, Plate XXI
twice twelve scales - 114, Plate XV
twice twelve-fold family of keys - 20, 114, Plate XV
two 9s - 77
two A’s - 91
two B’s - 91
two chords - 49
two commas - 14, 85
two compound chords - 70
two C’s, 91
two degrees - 54
Two Diatonic Semitones - 50
two double compound chords - 70
two dualities - 42
two D’s - 32, 39, 43, 53, 67, 71, 82, 86, 88, 90, 103, 113, 118, 120, Plate XXIII, Plate XXVIII
two E’s - 91
two forces - 95
two F’s, 91
two G’s - 91
two hemispheres of the fifths - 113
two lower notes - 96
two middles - 97
two modes - 38, 67, 113, 114, Plate XXVIII
two modes of the system - 32, 54, 67
Two Modes. Notes. Pendulums - 44, 120, 152, Plate XXVII, XXVIII
two new notes - 82, 90, 95
two octaves - 12, 38, 76, 106
two primes - 27
two scales - 30, 64
two tendencies - 29, 37
two tetrachords - 45
two upper notes - 96
two vibrations - 24
two-fold form - 56
two-fold unity - 50, 54
two-ness - 25, 41
two-ninths - 93, 105
two-thirds - 92, 93
two-thirds of one-third - 18, 92, 93
two-thirds of this one-third from the end - 18, 92
twofold - 41, 50, 117, Plate IX
twofold diatonic key - 54
twofold genesis - 66
twofold genetic scale - 67
twofold key system - 54, 118, Plate XXII
twofold mathematical table - 117, Plate XXII
twofold system - 64
twos, order of - 97
Tyndal - 21, 29, 58
types of scales - 116, Plate XVII, Plate XVIII
tyro - 120, Plate XXVIII
ultimate and invisible dynamic structure of the visible world - 118, Plate XXIII
ultimate elements - 39
ultimate substance of a thing - 25, 39
unbegotten - 81
undertone - 60
undeveloped sounds - 16
uniform dressed lathe - 93
uniform pendulum, three centers in a -105
uniform rod - 105
uniform, elongated body - 92
unison - 92
unit - 11, 15, 16, 25, 31, 53, 75, 76, 117, Plate XXII
unit for the major - 31
unit of measure - 25
unit of motions - 15, 16
unit of quantities - 15, 16
unit of the ratios ascending - 11
unite in one note - 35
units - 15, 53
unity - 12, 15, 16, 17, 18, 26, 27, 37, 70, 77, 87, 95, 106, 110, 111, 114
unity of effect - 18, 110
unity of structure - 17
unity, duality in - 114
unity, principle of - 87
unity, two-fold - 50
universal joint - 51, 73, 116, Plate XIX
Universal Joint for Resolution - 51
universal laws of continuity and duality - 24
universe - 60
upper third - 68
upward fifths - 68
upward tendencies - 28, 95
urgency - 11, Plate XI
varieties - 70
Various Musical Orthography for Uniform Musical Essence - 108
varnish, Copal - 85
Varnish, Ramsay’s Violin - 85
vegetable world - 41
velocity, center of - 18, 92, 93, 105
versatility - 35
vertebral column - 47, 48, 113, 114
VERTEBRAL COLUMN IN MODULATION - 114, Plate XIV
Vertebral Column of the Musical Scale - 113, 137, Plate XIII
vibrating string - 19, 60, 79, 80, 100
vibrating string sympathy - 60
Vibration - 12, 17, 18, 19, 20, 21, 22, 23, 24, 31, 39, 44, 58, 64, 75, 76, 77, 79, 80, 86, 87, 88, 100, 104, 117, 118, 119, Plate IV, Plate XXII, Plate XXIII
vibration and oscillation - 104
vibration definition - 21, 23
vibration numbers - 77, 79, 80, 83 (see Number))
Vibration Ratios - 107, 117, Plate XXII
Vibration Ratios and Pendulum Proportions - 121, 154, Plate XXX
vibration, complete - 22, 23
vibration, definition - 105
vibration, double - 21, 22, 79, 80
vibration, high - 87
vibration, inaudible - 39
vibration, interior - 87
vibration, low - 87
vibration, musical - 9, 15, 16, 19, 21, 22, 87, 105, 107
vibration, number of - 87
vibration, ratio-numbers - 121, Plate XXX
vibration, Rectilinear - 24
vibration, silent - 87
vibration, single - 21, 22
vibration, sphere of - 39
vibration, state of - 22
vibration, string - 24, 79, 80, 88, 100
vibration, system, genesis of the - 110
vibration-number - 12, 31, 60, 66, 67, 76, 80, 87, 110, 118, Plate XXIV
vibration-number of the root - 12
vibration-numbers, ratios of the -110
vibration-ratios - 117, Plate XXII
VIBRATIONS FOR MAJOR AND MINOR, RECIPROCAL QUANTITIES OF STRINGS AND - 118, Plate XXIV
vibrations of notes - 107
vibrations of sounding instruments - 104
Vibrations of the Major are the String-lengths for the Minor - 44, 118, 148, Plate XXIV
vibrations, lengths are inversely proportional to the - 100
vibrations, musical, system of - 102, 111, 118, Plate XXIV
vibrations, rapid region of the elastic - 106
vibrations, region of - 118, Plate XXIII
vibratory motion - 24, 93
Victor Cousin - 42
vigorous chord - 91
violation - 118, Plate XXIII
violin - 10, 59, 60, 92, 99, 100
Violin Varnish - 85
violin-fingering - 99, 100
violin-making 85
vision - 58
vital operations - 35
vital principle - 37
vital principle of music - 29, 37
vitality - 29, 43
voice - 3, 48, 109, 114
Watchman - 93, 94
wave - 22
way, differential - 105
way, proximate - 105
wedlock - 46
week, seven days of the - 110
wheel - 25
white keys - 80, 85
whole harmony of the key - 104
whole key - 77
whole major chord-scale - 81
whole numbers - 11
whole string - 92
whole system - 25
wild - 84
will - 92
William Wordsworth - 37
willow - 67
wire - 22, 80
witness - 56
woman - 31
wood - 85
world, music - 79
world, ultimate and invisible dynamic structure of the visible - 118, Plate XXIII
x - 103
yellow - 37
zigzag - 115

Created by Dale Pond. Last Modification: Saturday December 19, 2020 16:42:12 MST by Dale Pond.