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third

See Thirds
Music - The interval between a fundamental tone and the third diatonic tone above.

The interval comprised by two notes written on adjacent lines or spaces. A major third has two whole tones, a minor third a tone and a semitone, and a diminished third a whole tone.

The mode of a triad is determined by its third, as is the mode of a scale, since the sixth and seventh degrees are treated as variable in the harmonic minor and melodic minor scales. The diminished third is most often used as the inversion of the AUGMENTED SIXTH, INTERVAL, IMPERFECT INTERVAL (Westrup, J.A., Harrison, F. L.; Collin's Music Encyclopedia; William Collins Sons, & Co., Ltd., London, 1959)

1) Major Third 5:4

2) Minor Third 6:5

2.1) Augmented Third 125:96

2.2) A major third consists of four semitones, a minor third of three. A major tone is the whole tone having the ratio 8:9; a minor tone, that having the ratio 9:10. Intervals have had the term major applied to them in a conflicting manner. (Stainer, John; Barrett, W.A.; A Dictionary of Musical Terms; Novello, Ewer and Co., London, pre-1900)

3) Both occur for the first time in the third octave.

4) Are probably resultant tone, summation tone or compound tone.

5) Any two thirds make a Fifth, of which there are several:
Diminished Fifth 64:45
Diminished Fifth 36:25
Perfect Fifth 3:2
Augmented Fifth 25:16


6) They play a key role in the simplest chords: Triads, of which there are three types
a) Major
b) Minor
c) Diminished
(The material of which music is made is tone, in recognizable, orderly chord groups. The simplest chord group is the Triad, or three tone chord. The Triad always consists of fundamental (root), third and fifth. A Triad may be constructed upon every degree of the scale, Major and Minor. Upon the Major Scale tones the Triads of the key, in C Major, are shown above. These seven Triads occur in exactly the same form in every Major Key. There are three different Triad groupings in the above:
Major Triad: Major 3rd and Perfect 5th on the 1st, 4th and 5th degrees.
Minor Triad: Minor 3rd and Perfect 5th on the 2nd, 3rd and 6th degrees.
Diminished Triad: Minor 3rd and Diminished 5th on the 7th degree.)

DEFINITIONS
1) The interval between a fundamental tone and the third diatonic tone above.

2) The interval comprised by two notes written on adjacent lines or spaces. A major third has two whole tones, a minor third a tone and a semitone, and a diminished third a whole tone. The mode of a triad is determined by its third, as is the mode of a scale, since the sixth and seventh degrees are treated as variable in the harmonic minor and melodic minor scales. The diminished third is most often used as the inversion of the AUGMENTED SIXTH, INTERVAL, IMPERFECT INTERVAL. Collin's Music Encyclopedia, 1959

3) Progressive Thirds: The ultimate test of a good temperament on any piano is a smooth change of the beat rates as progressive thirds are played - both in the bearings octave, and outside it. (no reference)

4) Diatonic Thirds: "The sympathetic acoustic impulses are: the DOMINANT - a diatonic third - the HARMONIC - the connective "sixth" - and the ENHARMONIC - or diminished seventh - which Keely calls a ninth - inducing "infinite trajective velocity" or "neutral radiation" from neutral centers." The Snell Manuscript

Third, Neutral
neutral 3rd, neutral third, n3

An interval intermediate in size between the Major Third and the Minor Third.

Neutral Thirds measure about 350 cents (¢) and typical examples are 11/9 (347¢), 27/22 (355¢) and 16/13 (359¢). (from John Chalmers, Divisions of the Tetrachord)

Thirds, Sixths and Ninths
Fri, 15 Dec 2000
On the one hand Keely talks about musical intervals - on the other hand he mixes in references to the orders of matter and energy, volume and divisions of chords. Which is which and when? To me, the above does NOT refer solely to musical chords. I've said this before. But instead represents a wider view of order, dynamics and structure. For instance if we view the nine strings of the CEG chord as three sets of three vibrating on 1, 2 and 3 octaves we get the possibility of the first third of the WHOLE NINE STRING CHORD being octave one, the second third being octave two and the third third as octave three of this nine string chord. The nine string chord is seen to be composed by thirds of the whole. These represent the molecular, atomic and etheric realms or levels of the matter and energy scheme being three major thirds of the whole of nature. Therefore the first third is the enharmonic (earthy earth; i.e.; terrestrial) the second third represents the harmonic sixths (Russell's fulcrum?), and the third third represents the infinite ninths (celestial). Rotation is the result of a conflict between the first third (terrestrial) and the third third or ninths (celestial) as given above. I've included below quotes from Keely on his rotating sphere. If you've read Russell you will see DIRECT correlations between the two men expressing the SAME concept of rotation occurring in this manner - and ONLY in this manner. If you have not read Russell you may not see this. This being the case the CEG chord is the centralizing chord to the center (fig. 1) while the BfDG chord is the dispersive chord (fig. 2) - each chord representing the in and out FLOWING STREAMS (fig. 5) to and from the center. Keep in mind the dynasphere represents a faithful micro/macrocosm of the universal forces as depicted on the "Universal Cosmology - Genesis" page I recently put together. The 24 resonators, tuned to musical thirds, placed in eight triplets around the Ring of Resonation are coincident to each of the three-sided corners (fig. 17) of the cube of celestial dispersion realm (fig. 2) while the second ring of resonation inside the sphere are tuned to Bf keynote of the earth or spherizing element in nature. So much more needs to be done yet with all this but we are hot on the trail. Dale.

Thirds, Controlling
"The first third is controlled by the molecular, the next progressive third by the atomic and the highest third by the etheric." Keely and His Discoveries

Thirds and Triads
A TRIAD is composed of two thirds. There are two kinds of thirds: a Minor (mn) and a Major (mj). These may be combined in two ways to create a Triad: (mn+mj) and (mj+mn). The former creates a Minor Triad (5mn) while the second creates a Major Triad (5mj). There are several issues being sorted out here. One is how to count steps and/or intervals. This is a real problem as far as I can see especially when trying to computerize all these factors. The first column under "THIRDS" is read thusly: "AbC" reads "Ab to C", etc. The accented notes are not differentiated between A# and Bb for instance; being the same note.

THIRDS
Interval Step Mode
Ab to C 2 Major Third
A to C 1.5 Minor Third
A to C# 1.5 Minor Third
A# to Db 1.5 Minor Third
Bb to D 2 Major Third
B to D 1.5 Minor Third
B to D# 2 Major Third
C to Bb 2 Major Third
C to E 2 Major Third
C to D# 1.5 Minor Third
C# to E 1.5 Minor Third
Db to F 2 Major Third
D to F 1.5 Minor Third
D to F# 2 Major Third
D# to F# 1.5 Minor Third
D# to G 2 Major Third
E to G 1.5 Minor Third
E to G# 2 Major Third
F to A 2 Major Third
F to Ab 1.5 Minor Third
F# to A 1.5 Minor Third
F# to A# 2 Major Third
F# to Bb 2 Major Third
G to B 2 Major Third
B to Bb 1.5 Minor Third
G# to B 1.5 Minor Third


TRIADS

C E G = 5mj = 3mj+3mn = CE+EG
C Eb G = 5mn = 3mn+3mj = CD#+D#G
D F A = 5mn = 3mn+3mj
D F# A = 5mj = 3mj+3mn
E G B = 5mn = 3mn+3mj
E G# B = 5mj = 3mj+3mn
F A C = 5mj = 3mj+3mn
F Ab C = 5mn = 3mn+3mj
G B D = 5mj = 3mj+3mn
G Bb D = 5mn = 3mn+3mj
A C E = 5mn = 3mn+3mj
A C# E = 5mj = 3mn+3mn


The last triad is a Diminished triad and before the third is raised it is important to raise the fifth:

B D F = dim = 3mn+3mn
B D F# = min = 3mn+3mj
B D# F# = maj = 3mj+3mn


See Also

7.12 - Third
12.07 - Keelys Thirds Sixths and Ninths
14.04 - Thirds as Currents
14.05 - Thirds as Differentiations
14.07 - Thirds in Magnetic Action
14.08 - Thirds as Assimilatives
14.10 - Thirds as Ratios within a Whole
14.28 - Thirds as Polar and Depolar Parameters
16.08 - Polar Link in Thirds
Figure 11.01 - Octave composed of Equal Thirds and Triads
Part 14 - Keelys Mysterious Thirds Sixths and Ninths
Table 1 - Relations of Thirds
Table 14.01 - All phrases in HyperVibes containing the term thirds
Table 14.02 - Neutral Thirds - Energy Radiates from Center - Force Contracts to Center
thirds

Page last modified on Tuesday 08 of February, 2011 04:41:16 MST

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