(5) But some doubt arises when we consider the phenomena of hearing.

Perhaps we are to understand the process thus: the air is modified by the first movement; layer by layer it is successively acted upon by the object causing the sound: it finally impinges in that modified form upon the sense, the entire progression being governed by the fact that all the air from starting point to hearing point is similarly affected.

Perhaps, on the other hand, the intervenient is modified only by the accident of its midway position, so that, failing any intervenient, whatsoever sound two bodies in clash might make would impinge without medium upon our sense?

Still air is necessary; there could be no sound in the absence of the air set vibrating in the first movement, however different be the case with the intervenient from that onwards to the perception point.

The air would thus appear to be the dominant in the production of sound: two bodies would clash without even an incipient sound, but that the air, struck in their rapid meeting and hurled outward, passes on the movement successively till it reaches the ears and the sense of hearing.

But if the determinant is the air, and the impression is simply of air-movements, what accounts for the differences among voices and other sounds? The sound of bronze against bronze is different from that of bronze against some other substance: and so on; the air and its vibration remain the one thing, yet the difference in sounds is much more than a matter of greater or less intensity.

If we decide that sound is caused by a percussion upon the air, then obviously nothing turning upon the distinctive nature of air is in question: it sounds at a moment in which it is simply a solid body, until it is sent pulsing outwards: thus air in itself is not essential to the production of sound; all is done by clashing solids as they meet and that percussion, reaching the sense, is the sound. This is shown also by the sounds formed within living beings not in air but by the friction of parts; for example, the grinding of teeth and the crunching of bones against each other in the bending of the body, cases in which the air does not intervene.

But all this may now be left over; we are brought to the same conclusion as in the case of sight; the phenomena of hearing arise similarly in a certain co-sensitiveness inherent in a living whole.

(30) In constructing their temples of initiation, the early priests frequently demonstrated their superior knowledge of the principles underlying the phenomena known as vibration. A considerable part of the Mystery rituals consisted of invocations and intonements, for which purpose special sound chambers were constructed. A word whispered in one of these apartments was so intensified that the reverberations made the entire building sway and be filled with a deafening roar. The very wood and stone used in the erection of these sacred buildings eventually became so thoroughly permeated with the sound vibrations of the religious ceremonies that when struck they would reproduce the same tones thus repeatedly impressed into their substances by the rituals.

(54) In the Book of Coming Forth by Day, many of the Egyptian secrets have been preserved to this generation. While this ancient scroll has been well translated, only a few understand the secret: significance of its magical passages. Oriental races have a keen realization of the dynamics of sound. They know that every spoken word has tremendous power and that by certain arrangements of words they can create vortices of force in the invisible universe about them and thereby profoundly influence physical substance. The Sacred Word by which the world was established, the Lost Word which Masonry is still seeking, and the threefold Divine Name symbolized by A. U. M.--the creative tone of the Hindus--all are indicative of the veneration accorded the principle of sound.

(46) 3. He established twenty-two basic letters, formed by the voice and impressed upon the air by the breath. He set them to be audibly uttered in five different parts of the human mouth: namely, Gutturals, א ה ח ע; Palatals, ג י כ ק; Linguals, ד ט ל נ ת Dentals, ז ש ס ר ץ; Labials, ב ו מ ף.

(67) Now what is it that makes the Hearing, that you can hear that which stirs and makes a Noise? Wilt thou say that it is caused by the Noise of that outward Thing which gives the Sound? No! there must also be somewhat that must receive the Sound, and qualify or mix with the Sound, and distinguish the Sound of what is played or sung; the outward cannot do that alone, the inward must receive and distinguish the Noise. Behold, here you find the Beginning of the Life, and the Tincture wherein the Life consists; for the Tincture of the Crack in the Springing up of the Life, in the Breaking-open of the dark Gate, stands in the Sounding, and has its Gate open (next the Fire-flash near the Eyes) and receives the Noise of whatsoever sounds.

(17) The sound and the object and the thought called up by a word are confounded because they are all blurred together in the mind. By perfectly concentrated Meditation on the distinction between them, there comes an understanding of the sounds uttered by all beings.

(2) O Rā, in that thy name of Rā, since thou passest through an Eye of seven cubits, whose pupil is of three: do thou then make me sound, I am a powerful Chu, let thy soundness be my soundness

(14) Those also who composed the Persics relate that in the uplands, in the country of the Magi, three mountains are situated on an extended plain, and that those who travel through the locality, on coming to the first mountain, hear a confused sound as of several myriads shouting, as if in battle array; and on reaching the middle one, they hear a clamour louder and more distinct; and at the end hear people singing a paean, as if victorious. And the cause, in my opinion, of the whole sound, is the smoothness and cavernous character of the localities; and the air, entering in, being sent back and going to the same point, sounds with considerable force. Let these things be so. But it is possible for God Almighty, even without a medium, to produce a voice and vision through the ear, showing that His greatness has a natural order beyond what is customary, in order to the conversion of the hitherto unbelieving soul, and the reception of the commandment given. But there being a cloud and a lofty mountain, how is it not possible to hear a different sound, the wind moving by the active cause? Wherefore also the prophet says, "Ye heard the voice of words, and saw no similitude." You see how the Lord's voice, the Word, without shape, the power of the Word, the luminous word of the Lord, the truth from heaven, from above, coming to the assembly of the Church, wrought by the luminous immediate ministry.

(1) Since, however, we are narrating the wisdom employed by Pythagoras in instructing his disciples, it will not be unappropriate to relate that which is proximate in a following order to this, viz. how he invented the harmonic science, and harmonic ratios. But for this purpose we must begin a little higher. Intently considering once, and reasoning with himself, whether it would be possible to devise a certain instrumental assistance to the hearing, which should be firm and unerring, such as the sight obtains through the compass and the rule, or, by Jupiter, through a dioptric instrument; or such as the touch obtains through the balance, or the contrivance of measures;—thus considering, as he was walking near a brazier’s shop, he heard from a certain divine casualty the hammers beating out a piece of iron on an anvil, and producing sounds that accorded with each other, one combination only excepted.

But he recognized in those sounds, the diapason, the diapente, and the diatessaron, harmony. He saw, however, that the sound which was between the diatessaron and the diapente was itself by itself dissonant, yet, nevertheless, gave completion to that which was the greater sound among them. Being delighted, therefore, to find that the thing which he was anxious to discover had succeeded to his wishes by divine assistance, he went into the brazier’s shop, and found by various experiments, that the difference of sound arose from the magnitude of the hammers, but not from the force of the strokes, nor from the figure of the hammers, nor from the transposition of the iron which was beaten. When, therefore, he had accurately examined the weights and the equal counterpoise of the hammers, he returned home, and fixed one stake diagonally to the walls, lest if there were many, a certain difference should arise from this circumstance, or in short, lest the peculiar nature of each of the stakes should cause a suspicion of mutation.

Afterwards, from this stake he suspended four chords consisting of the same materials, and of the same magnitude and thickness, and likewise equally twisted. To the extremity of each chord also he tied a weight. And when he had so contrived, that the chords were perfectly equal to each other in length, he afterwards alternately struck two chords at once, and found the before-mentioned symphonies, viz. a different symphony in a different combination. For he discovered that the chord which was stretched by the greatest weight, produced, when compared with that which was stretched by the smallest, the symphony diapason. But the former of these weights was twelve pounds, and the latter six. And, therefore, being in a duple ratio, it exhibited the consonance diapason; which the weights themselves rendered apparent.

But again, he found that the chord from which the greatest weight was suspended compared with that from which the weight next to the smallest depended, and which weight was eight pounds, produced the symphony diapente. Hence he discovered that this symphony is in a sesquialter ratio, in which ratio also the weights were to each other. And he found that the chord which was stretched by the greatest weight, produced, when compared with that which was next to it in weight, and was nine pounds, the symphony diatessaron, analogously to the weights. This ratio, therefore, he discovered to be sesquitertian; but that of the chord from which a weight of nine pounds was suspended, to the chord which had the smallest weight [or six pounds,] to be sesquialter.

For 9 is to 6 in a sesquialter ratio. In like manner, the chord next to that from which the smallest weight depended, was to that which had the smallest weight, in a sesquitertian ratio, [for it was the ratio of 8 to 6,] but to the chord which had the greatest weight, in a sesquialter ratio [for such is the ratio of 12 to 8.] Hence, that which is between the diapente and the diatessaron, and by which the diapente exceeds the diatessaron, is proved to be in an epogdoan ratio, or that of 9 to 8. But either way it may be proved that the diapason is a system consisting of the diapente in conjunction with the diatessaron, just as the duple ratio consists of the sesquialter and sesquitertian, as for instance, 12, 8, and 6; or conversely, of the diatessaron and the diapente, as in the duple ratio of the sesquitertian and sesquialter ratios, as for instance 12, 9, and 6.

After this manner, therefore, and in this order, having conformed both his hand and his hearing to the suspended weights, and having established according to them the ratio of the habitudes, he transferred by an easy artifice the common suspension of the chords from the diagonal stake to the limen of the instrument, which he called chordotonon . But he produced by the aid of pegs a tension of the chords analogous to that effected by the weights.

(4) 'What is the origin of the Sâman?' 'Tone (svara),' he replied. 'What is the origin of tone?' 'Breath,' he replied. 'What is the origin of breath?' 'Food,' he replied. 'What is the origin of food?' 'Water,' he replied.

(48) 5. How was it all accomplished? He combined, weighed, and changed: the א (A) with all the other letters in succession, and all the others again with א (A), and all again with ב (B); and so with the whole series of letters. Hence it follows that there are two hundred and thirty-one formations, or gates, through which the powers of the letters go forth; every creature and every language proceeded from One Name and the combinations of its letters.

(36) By that sound all powers are moved in heaven, so that all things grow joyfully, and generate very beautifully: And as the divine power is manifold and various, so also the sound or Mercurius is manifold and various.

(4) And the creation of all the four-footed animals and the birds being finished, they were told by the Creator and the Maker and the Forefathers: "Speak, cry, warble, call, speak each one according to your variety, each, according to your kind." So was it said to the deer, the birds, pumas, jaguars, and serpents. "Speak, then, our names, praise us, your mother, your father. Invoke then, Huracán, ChipiCaculhá, Raxa-Caculhá, the Heart of Heaven, the Heart of Earth, the Creator, the Maker, the Forefathers; speak, invoke us, adore us," they were told. But they could not make them speak like men; they only hissed and screamed and cackled; they were unable to make words, and each screamed in a different way.

(2) But thou wilt ask, What is the tone or sound? Or how taketh this spirit its source and original? Answer.

(70) Thus now the Habitation of Man's Sound, wherein the Understanding is, must be from Eternity, although indeed in the Fall of Adam, Man has set himself in the Corruptibility, and in great Want of Understanding, as shall follow here. In like Manner also we find concerning the Smelling; for if the Spirit did not stand in the Sound, then no Smell of any Thing would press [or pierce] into the Essences; for the Spirit would be whole and swelled. But it standing thus in the Gate of the broken Darkness in the Crack and in the Sound, therefore all Virtues of all Things press in into that Gate, and try themselves by one another, and what the Essences of the Spirit love, that it desires, and draws the same into the Tincture; and then Hands and Mouth fall to it, and stuff it into the Stomach, into the outward Court of the four Elements, from whence the earthly Essences of the Stars and Elements feed. 7 1. And the Taste also is a Trying, and Attracting of the Tincture in the Essences of the Spirit. And so the Feeling also, if the Spirit of Man with its Essences did not stand in the Sound, there would be no Feeling; for when the sour Essences draw to them, then they awaken the bitter Prickle [or Sting] in the Fire-flash, which stirs itself, either by Griping, Thrusting, or Striking, and thereupon in all driving the bitter Prickle in the Fire-flash is awakened; and therein stands the Moving; [and] all in the Tincture.

(1) When Thoth had brought the Eye, he appeased the Eye, After Rā had wounded her, she was raging furiously and then Thoth calmed her after she had gone away raging. As I am sound, she is sound and N. is sound

(3) Twenty-two letters are formed by the voice, impressed on the air, and audibly uttered in five situations, in the throat, guttural sounds; in the palate, palatals; by the tongue, linguals; through the teeth, dentals; and by the lips, labial sounds.

(27) The sensible types of these, then, are the sounds we pronounce. Thus the Lord Himself is called "Alpha and Omega, the beginning and the end," " by whom all things were made, and without whom not even one thing was made." God's resting is not, then, as some conceive, that God ceased from doing. For, being good, if He should ever cease from doing good, then would He cease from being God, which it is sacrilege even to say. The resting is, therefore, the ordering that the order of created things should be preserved inviolate, and that each of the creatures should cease from the ancient disorder. For the creations on the different days followed in a most important succession; so that all things brought into existence might have honour from priority, created together in thought, but not being of equal worth. Nor was the creation of each signified by the voice, inasmuch as the creative work is said to have made them at once. For something must needs have been named first. Wherefore those things were announced first, from which came those that were second, all things being originated together from one essence by one power. For the will of God was one, in one identity. And how could creation take place in time, seeing time was born along with things which exist.

(2) Employing this method, therefore, as a basis, and as it were an infallible rule, he afterwards extended the experiment to various instruments; viz. to the pulsation of patellæ or pans, to pipes and reeds, to monochords, triangles, and the like. And in all these he found an immutable concord with the ratio of numbers. But he denominated the sound which participates of the number 6 hypate : that which participates of the number 8 and is sesquitertian, mese ; that which participates of the number 9, but is more acute by a tone than mese, he called paramese , and epogdous ; but that which participates of the dodecad, nete . Having also filled up the middle spaces with analogous sounds according to the diatonic genus, he formed an octochord from symphonious numbers, viz. from the double, the sesquialter, the sesquitertian, and from the difference of these, the epogdous.

And thus he discovered the [harmonic] progression, which tends by a certain physical necessity from the most grave [i. e. flat] to the most acute sound, according to this diatonic genus. For from the diatonic, he rendered the chromatic and enharmonic genus perspicuous, as we shall some time or other show when we treat of music. This diatonic genus, however, appears to have such physical gradations and progressions as the following; viz. a semitone, a tone, and then a tone; and this is the diatessaron, being a system consisting of two tones, and of what is called a semitone. Afterwards, another tone being assumed, viz. the one which is intermediate, the diapente is produced, which is a system consisting of three tones and a semitone.

In the next place to this is the system of a semitone, a tone, and a tone, forming another diatessaron, i. e. another sesquitertian ratio. So that in the more ancient heptachord indeed, all the sounds, from the most grave, which are with respect to each other fourths, produce every where with each other the symphony diatessaron; the semitone receiving by transition, the first, middle, and third place, according to the tetrachord. In the Pythagoric octachord, however, which by conjunction is a system of the tetrachord and pentachord, but if disjoined is a system of two tetrachords separated from each other, the progression is from the most grave sound. Hence all the sounds that are by their distance from each other fifths, produce with each other the symphony diapente; the semitone successively proceeding into four places, viz. the first, second, third, and fourth. After this manner, therefore, it is said that music was discovered by Pythagoras. And having reduced it to a system, he delivered it to his disciples as subservient to every thing that is most beautiful.

(53) The magic rituals used by the Egyptian priests for the curing of disease were based upon a highly developed comprehension of the complex workings of the human mind and its reactions upon the physical constitution. The Egyptian and Brahmin worlds undoubtedly understood the fundamental principle of vibrotherapeutics. By means of chants and mantras, which emphasized certain vowel and consonant sounds, they set up vibratory reactions which dispelled congestions and assisted Nature in reconstructing broken members and depleted organisms. They also applied their knowledge of the laws governing vibration to the spiritual constitution of man; by their intonings, they stimulated latent centers of consciousness and thereby vastly increased the sensitiveness of the subjective nature.