Loading...
 

law of continuity

Keely
"In Keely's philosophy, as in Dr. Macvicar's "Sketch of a Philosophy," the economy of creation is not regarded as a theory of development all in one direction, which is the popular supposition, but as a cycle in which, after development and as its fruit, the last term gives again the first. Herein is found the link by which the law of continuity is maintained throughout, and the cycle of things is made to be complete: - the link which is missing in the popular science of the day, with this very serious consequence, that, to keep the break out of sight, the entire doctrine of spirit and the spiritual world is ignored or denied altogether." [Keely and His Discoveries, The Fountain Head of Force]

"The economy of creation is not regarded in this philosophy as a theory of development all in one direction; but as a cycle in which, after development and as its fruit, the last term gives again the first. Herein is found the link by which the law of continuity is maintained throughout - the link which is missing in the popular science of the day; with this very serious consequence that, to keep the break out of sight, the entire doctrine of spirit and the spiritual world is ignored or altogether denied". [True Science]

Ramsay
"As vibrating motions of whatever kind, and however rapid, are made in time, so they all partake of its continuity. Where the one vibration ends the other begins, at an indivisible instant when the string is crossing the right line. An indivisible point is the common limit of the two vibrations; thus they are under the law of continuity.
The contraction and expansion of the air in one vibration is effected in successive times; but the compression of the air of one vibration and the expansion of the air of the preceding one are simultaneous, so they" [Scientific Basis and Build of Music, page 23]

"The perfect character of a musical sound is the result of the harmonious workings of the vibrations of the "perfectly elastic" air with the perfectly elastic string. The forces which act on the air and string being proportional to the distances passed through, makes the times of the vibrations equal,1 and the pitch of the sound the same throughout. These varied forces and distances, with the equal times of the vibrations, and with the simultaneous compressions and expansions of the air and string, are all according to the universal laws of Continuity and Duality. [Scientific Basis and Build of Music, page 24]

The common chord is a group of notes which come together by generic affinity, much like the chemical combinations of our system of atoms. The common chord is a triplet, and in the progression from one chord to another these triplets have always something in common; by the law of continuity one of the notes of the chord first is also found in chord second; and chord second also finds one of its notes in chord third. This is the way Nature gives them to us [Scientific Basis and Build of Music, page 48]

the excess of the vibrations of the one note over the other makes one or more sounds which are called "grave harmonics;" e.g., in the interval of the fifth, in the ratio of 2:3, the excess of 3 over 2 is 1, so the grave harmonic is an octave below the lowest of the two notes, that is, the ratio of 1:2. This reinforces the lowest note, 2, and gives it a solid effect. In this way the octave is incorporated into the fifth, and unity with variety is combined with the law of continuity at the very threshold of harmony. In 32 of the 42 intervals the grave harmonics are notes which belong to the natural scale. In the 10 remaining intervals which have not the exact number of vibrations found anywhere in the natural scale, 6 of them are from the number 7, thus - 7, 7, 7, 21, 21, 35; the remaining 4 are from 11, 13, 13, and 19. [Scientific Basis and Build of Music, page 77]

The sympathy of one thing with another, and of one part of a thing with another part of it, arises from the principle of unity. For example, a string requires to be uniform and homogenous to have harmonics producing a fine quality of tone by the sweet blendings of sympathy; if it be not so, the tone may be miserable ... You say you wish I were in touch with Mr. Keely; so do I myself ... I look upon numbers very much as being the language which tells out the doings of Nature. Mr. Keely begins with sounds, whose vibrations can be known and registered. I presume that the laws of ratio, position, duality, and continuity, all the laws which go to mould the plastic air by elastic bodies into the sweetness of music, as we find them operative in the low silence of oscillating pendulums, will also be found ruling and determining all in the high silence of interior vibrations which hold together or shake asunder the combinations which we call atoms and ultimate elements, but which may really be buildings of wondrous complexity occupying different ranges of place and purpose between the visible cosmos and Him who built and evermore buildeth all things. The same laws, though operating in different spheres, make the likenesses of things in motion greater than the differences. [Scientific Basis and Build of Music, page 87]

See Also


common chord
Continuity
Continuous Motion
evolution
Rhythm
triplet

Created by Dale Pond. Last Modification: Friday December 4, 2020 06:01:14 MST by Dale Pond.