Explore the vibratory
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"I think the true definition of sound is a certain order of etheric flow, consisting of actual radiant atomic corpuscles ruptured from a static condition by disturbance of atomic equilibrium." [Keely circa 1890, SOUND - Snell]
Mrs. F. Hughes writing "Tones and Colors", advances theories of her own, which correspond with Keely's. "I firmly believe that exactly the same laws as those which develop sound keep the heavenly bodies in their order. You can even trace the poles in sound." [Snell Manuscript - The Book, page 2]
"In the image of man" Keely constructed his liberator. Not literally, but, as his vibrophone (for collecting the waves of sound and making each wave distinct from the other in tone when the "wave plate" is struck after the sound has died away) is constructed after the human ear so his liberator corresponds in its parts to the human head. [Snell Manuscript - The Book, page 2]
"The experiment illustrating "chord of mass" sympathy was repeated, using a glass chamber, 40 inches in height, filled with water, standing on a slab of glass. Three metal spheres, weighing about 6 ounces each, rested on the glass floor. The chord of mass of these spheres was B flat first octave, E flat second octave and B flat third octave. Upon sounding the note B flat on the sympathetic transmitter, the sphere having that chord of mass rose slowly to the top of the chamber, the positive end of the wire having been attached, which connected the covered jar with the transmitter. The same result followed the sound of the other spheres, all of which descended as gently as they rose, upon changing the positive to the negative. J.M. Wilcox, who was present remarked: "This experiment proves the truth of a fundamental law in scholastic philosophy, that when one body attracts or seeks another body, it is not that the effect is the sum of the effects produced by parts of one body upon parts of another, one aggregate of effects, but the result of the operation of one whole upon another whole." [Snell Manuscript - The Book, page 3]
"The human ear cannot detect the triple chord of any vibration, or sounding note but every sound that is induced of any range, high or low, is governed by the same laws, as regards triple action of such that govern every sympathetic flow in Nature. Were it not for these triple vibratory conditions, change of polarity could never be effected, and consequently there could be no rotation. Thus the compounding of the triple triple, to produce the effect would give a vibration in multiplication reaching the ninth, in order to induce subservience, the enumeration which it would be folly to undertake, as the result would be a string of figures a mile in length to denote it. [Snell Manuscript - The Book, DISTURBANCE OF MAGNETIC NEEDLE, page 8]
"In organ pipes, of a certain calibre, very sensitive waves occur at intervals; as according to the character of the sound evolved; but on a combination of resonators composed of brass tubes of more than nine in number, a wave of sound, induced by certain chords passing over them, produces high vortex action of the air enclosed in them. The vibration of tuning forks induces alternate condition of the air that surrounds them, if in open atmosphere; but quite a different action presents itself when the forks are exercised in resonating tubes, set to thirds of the mass chord they represent. Then high vortex action is the instant result. Vibrators cannot be set promiscuously in tubes, and get such results, any more than a musician can render a musical composition on the violin before tuning it." [Appendix I]
Sound, in SVP terms, is not limited to audible vibration or oscillation. Sound is recognized as a compression and rarefaction wave regardless of frequency and whether the sound can be heard or not by the human ear or detecting instrument.
"Although a sound is composed of the notes which, when developed, constitute three chords, beautifully differing in their musical effects; yet, as the three notes which make the fundamental chord have sixteen of the twenty-five circles of vibrations, this determines the predominance of the fundamental chord. And as the root of this chord has seven of these sixteen circles, the top of the chord five, and the middle of the chord four, so do these seven circles of vibration determine the predominance of the note to which they belong, and conspire to give a wondrous unity of effect to what is really a highly complex sound." [Scientific Basis and Build of Music, page 18]
After vibrations the next thing is musical notes, the sounds produced by the vibrations falling into the ear. Sounds arise in association. There are no bare simple sounds in music; it is a thing full of the play of sympathy. Such a thing as a simple solitary sound would be felt as a strange thing in our ears, accustomed as we are to hear affiliated sounds only. These affiliated sounds, called "harmonics," or "partials" as they have also been called, because they are the parts of which the sound is made up, are like perspective in vision. In perspective the objects lying in the line of sight, seem smaller and smaller, and more dim and indefinite as they stretch away into the distance; while nearer objects and those in the foreground are apparently larger, and are more clearly seen. This is the way of a musical sound; one of its component elements, the fundamental partial, being, as it were, in the foreground to the ear, is large and pronounced; while the other elements are less distinctly heard, and are fainter and fainter as they recede into the musical distance in the perspective of the ear. Few have any idea of the number of these weaker partials of a musical sound. Tyndal's illustrations in his very instructive work on Sound show a string spontaneously divided into twenty segments, all vibrating separately, being divided by still nodes along its length; and a vibrating string will keep thus [Scientific Basis and Build of Music, page 58]
dividing itself by 2 or 3 or 5, etc., up through the whole geometrical series of numbers, not keeping fixed at one thing; but while the whole length is vibrating the fundamental partial, it keeps shifting the still nodes along its length, and sometimes longer and sometimes shorter segments are sounding the other partials which clothe the chief sound. It has been commonly said that "a musical sound is composed of three sounds," for every ear is capable of hearing these three, and with a little attention a few more than these; but many will be startled when told that there are twenty-five sounds in that sound. Eighteen of them are simply the octaves of the other seven, all of these seven except one having one or more octaves in the sound. Four of the seven also are very feeble, the one which has no octave being the feeblest of all. Two of the other three are so distinctly audible along with the chief partial that they gave rise to the saying we have quoted about a musical sound being composed of three sounds.1 If the three most pronounced partials were equally developed in one sound, it could not be called one sound - it would decidedly be a chord; and when in the system they do become developed, they form a chord; but in the one sound they, the partials, having fewer and fewer octaves to strengthen them, fade away in the perspective of sound. The sharp seventh, which in the developed system has only one place, not coming into existence until the sixth octave of the genesis, is by far the feeblest of all the partials, and Nature did well to appoint it so. These harmonics are also sometimes called "overtones," because they are higher than the fundamental one, which is the sound among the sounds, as the Bible is the book among books. [Scientific Basis and Build of Music, page 59]
Speaking of acute harmonics Pole says - "The first six are the only ones usually considered to be of any practical importance, and it is rarely possible to distinguish more than 10 or 12."
Mercenne (French, 1636) says - "Every string produces 5 or more sounds at the same instant, the strongest of which is called the natural sound of the string, and alone is accustomed to be taken notice of; for the others are so feeble that they are only perceptible to delicate ears . . . not only the octave and fifteenth, but also the twelfth and major seventeenth are always heard; and over and above these I have perceived the twenty-third and ninth partial tones in the dying away of the natural sound."[Scientific Basis and Build of Music, page 59]
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]
Helmholtz falls into a mistake when he says- "The system of scales and modes, and all the network of harmony founded on them, do not seem to rest on any immutable laws of Nature, but are due to the aesthetical principle which is constantly subject to change, according to the progressive development of taste." It is true, indeed, that the ear is the last judge; but the ear is to judge something which it does not create, but simply judges. Nature is the maker of music in its scales and modes. The styles of composition may vary with successive generations, and in the different nations of men; but the scientific basis of music is another thing. It is a thing, belonging to the aesthetic element of our being and our environment; it is under the idea of the beautiful, rather than the idea of the useful or the just; but all these various aspects of our relation to creation have their laws which underlie whatever changes may be fashionable at any period in our practice. If the clang-farbe of a musical tone, that is, its quality or timbre, depends on the number and comparative strength of the partial tones or harmonics of which it is composed, and this is considered to be the great discovery of Helmholtz, it cannot be that the scales and modes are at the caprice of the fickle and varied taste of times and individuals, for these partials are under Nature's mathematical usages, and quite beyond any taste for man's to change. It is these very partials or harmonics brought fully into view as a system, and they lead us back and back till they have brought us to the great all-prevading law of gravitation; it is these very partials, which clothe as an audible halo every musical sound, which constitute the musical system of sounds. [Scientific Basis and Build of Music, page 78]
Mr. Pole, in his Philosophy of Music, begins his remarks about the scale by a reference to the savage condition of men, and their few and uncouth musical sounds. This is the fashionable way at present of viewing mankind's early days. It is not necessary, however, to conceive the first state of mankind [Scientific Basis and Build of Music, page 78]
2 - In the second sphere the tension of strings and other elastic bodies imbues them with forces operating upon the elastic air, producing vibrations quick enough to awaken sounds for the human ear. Here Nature plays on her tuneful harp the same grand fugue; from which everything in music is derived. [Scientific Basis and Build of Music, page 86]
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]
"The study of sound and the effect of sound will put into man's hands a tremendous instrument in the world of creation. Through the use of sound the scientist of the future will bring about his results; through sound, a new field of discovery will open up; the sound which every form in all kingdoms of nature gives forth will be studied and known and changes will be brought about and new forms developed through its medium. One hint only may I give here and that is, that the release of energy in the atom is linked to this new coming science of sound." - [Djwhal Khul]
Russell "Tone means sound. Mass accumulates all down the entire ten octaves; tone lowers from the highest note down the cosmic keyboard to the lowest." [Russell, The Universal One; Book 01 - Chapter 15 - The Formula of the Locked Potentials.]
"I believe sound to be a real substance of unknown and wonderful tenuity, emanating as absolute corpuscles - interatomic particles - from matter when induced by percussion. Sound has a velocity of 20,000 feet per second in vacuo, in air, 1120 ft. per second. The substance thus disseminated is an actual component of the agitated mass and were this condition to continue indefinitely the mass would eventually be disintegrated. I think the true definition of sound is "a certain order of Etheric flow, consisting of actual radiant atomic corpuscles ruptured from a static condition by disturbance of atomic equilibrium."
"Every gaseous molecule is a resonator sensitive to any and all discordant sounds. Inaudibility is no proof of nonexistence of acoustic force. The ear could not hear the total acoustic force transmitted by 1,000,000,000,000 molecules."
"The molecule contains only harmony - discordance in any mass is only the result of differentiated chords. Any mass so differentiated can be brought into harmony or equated, by the proper chords, be that mass animal matter, vegetable matter or mineral, solid, liquid or gas. Discordance cannot exist in the molecule as a unit. That which we term discord exists in sound itself, not in matter."
"If our hearing were intensified a billion times, we might be able to hear the chord note of aggregate masses, the fundamental monotones of liquids, and gas volumes, the musical notes given off by electric streams and hear the streams of light as they come through a window, as plainly as we now hear the wind in the trees."
"There is still a vast region of the inaudible to be conquered, but the audible has been so conquered in my instruments as to put me in touch with the inaudible. It is now only necessary to ascertain the terrestrial chord masses, and when I have conquered the inaudible I shall be able to control this most subtle force and run sympathetic machinery."
Pythagoras believed and taught that the laws of harmony control the movements of the heavenly bodies. Is it not proof of the wonderful Outreach of the mind of this ancient philosopher that it has taken nineteen centuries to even indicate that this is a fact, and not merely a "poetic fancy?" Snell Manuscript
"I assume that sound, like odor, is a real substance of unknown and wonderful tenuity, emanating from a body where it has been induced by percussion, and throwing out absolute corpuscles of matter - interatomic particles - with a velocity of 1120 feet per second, in vacuo 20,000. The substance which is thus disseminated is a part and parcel of the mass agitated, and if kept under this agitation continuously would, in the course of a certain cycle of time, become thoroughly absorbed by the atmosphere; or, more truly, would pass through the atmosphere to an elevated point of tenuity corresponding to the condition of subdivision that govern its liberation from its parent body. The sounds from vibratory forks, set so as to produce etheric chords, while disseminating their compound tones permeate most thoroughly all substances that come under the range of their atomic bombardment. The clapping of a bell in vacuo liberates these atoms with the same velocity and volume as one in the open air; and were the agitation of the bell kept up continuously for a few millions of centuries, it would thoroughly return to its primitive element. If the chamber were hermetically sealed, and strong enough, the vacuous volume surrounding the bell would be brought to a pressure of many thousands of pounds to the square inch, by the tenuous substance evolved. In my estimation, sound truly defined is the disturbance of atomic equilibrium, rupturing actual atomic corpuscles; and the substance thus liberated must certainly be a certain order of etheric flow. Under these conditions is it unreasonable to suppose that, if this flow were kept up, and the body thus robbed of its element, it would in time disappear entirely? All bodies are formed primitively from this high tenuous ether, animal, vegetal and mineral, and they only return to their high gaseous condition when brought under a state of differential equilibrium." [Keely in More Science]
"Fig. 62 is the seed. When it is ready to extend - or to be reborn as an oak, or man, or carbon atom, it divides and becomes the fulcrum of itself. The Mind-projection mirrors then provide a cube wave-field for projecting idea into measured form of idea. By studying figures 62-63 - and 64 - you will also see why nature can never pass beyond the sphere in form. That is the end of its journey. The reversal of polarization begins there. The charge then becomes discharge. Spheres then oblate by throwing off rings. In ordinary language life is maximum there and death must take over. Life and death are born in the same cradle but they meet at that point as equals. That is the basis of the radar principle. The end of the journey of sound, as of all things else, is in one of the eight corners of the cube wave-field. Sound must return from that focal point. It is "reflected" from there. Electrical and radar engineers recognize that fact. They have even coined the name of "corner reflector" for it." [Atomic Suicide, page 256]
"Silence is one - but sound springs from silence when its divided moving pair collide - so sound is three, and its vibrations in sequences of rest and action, are also three." [Atomic Suicide, page 109]
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“The more one studies these things, the more one realizes that sound is the creative principle. It must be regarded as primordial. No single phenomenal category can be claimed as the aboriginal principle. We cannot say, in the beginning was number, or in the beginning was symmetry, etc. These are categorical properties which are implicit in what brings forth and what is brought forth. By using them in description we approach the heart of the matter. They are not themselves the creative power. This power is inherent in tone, in sound.” [Hans Jenny]
Compression Wave Velocity
Part 08 - What Vibration Is. - Part 1
Part 09 - What Vibration Is. - Part 2
Part 26 - Science of Sound Vibration Acoustics and Music
Sound in Vacuum
What Vibration Is