(7) And when upon their hinges were turned round The swivels of that consecrated gate, Which are of metal, massive and sonorous, Roared not so loud, nor so discordant seemed Tarpeia, when was ta'en from it the good Metellus, wherefore meagre it remained. At the first thunder-peal I turned attentive, And "Te Deum laudamus" seemed to hear In voices mingled with sweet melody. Exactly such an image rendered me That which I heard, as we are wont to catch, When people singing with the organ stand; For now we hear, and now hear not, the words.

(2) We must rather, therefore, say, that sounds and melodies are appropriately consecrated to the Gods. There is, also, an alliance in these sounds and melodies to the proper orders and powers of the several Gods, to the motions in the universe itself, and to the harmonious sounds which proceed from the motions. Conformably, therefore, to such like adaptations of melodies to the Gods, the Gods themselves become present. For there is not any thing which intercepts; so that whatever has but a casual similitude to, directly participates of, them . A perfect possession, likewise, immediately takes place, and a plenitude of a more excellent essence and power. Not that the body and the soul are in each other, and sympathize, and are copassive with the melodies; but because the inspiration of the Gods is not separated from divine harmony, but is originally adapted and allied to it, on this account it is participated by it in appropriate measures. Hence also, it is excited and restrained according to the several orders of the Gods. But this inspiration must by no means be called an ablation, purgation, or medicine. For it is not primarily implanted in us from a certain disease, or excess, or redundance; but the whole principle and participation of it are supernally derived from the Gods.

(5) That the disturbance which below is made By exhalations of the land and water, (Which far as may be follow after heat,) Might not upon mankind wage any war, This mount ascended tow'rds the heaven so high, And is exempt, from there where it is locked. Now since the universal atmosphere Turns in a circuit with the primal motion Unless the circle is broken on some side, Upon this height, that all is disengaged In living ether, doth this motion strike And make the forest sound, for it is dense; And so much power the stricken plant possesses That with its virtue it impregns the air, And this, revolving, scatters it around; And yonder earth, according as 'tis worthy In self or in its clime, conceives and bears Of divers qualities the divers trees; It should not seem a marvel then on earth, This being heard, whenever any plant Without seed manifest there taketh root. And thou must know, this holy table-land In which thou art is full of every seed, And fruit has in it never gathered there.

(3) That which Timaeus argues of the soul Doth not resemble that which here is seen, Because it seems that as he speaks he thinks. He says the soul unto its star returns, Believing it to have been severed thence Whenever nature gave it as a form. Perhaps his doctrine is of other guise Than the words sound, and possibly may be With meaning that is not to be derided. If he doth mean that to these wheels return The honour of their influence and the blame, Perhaps his bow doth hit upon some truth. This principle ill understood once warped The whole world nearly, till it went astray Invoking Jove and Mercury and Mars. The other doubt which doth disquiet thee Less venom has, for its malevolence Could never lead thee otherwhere from me. That as unjust our justice should appear In eyes of mortals, is an argument Of faith, and not of sin heretical. But still, that your perception may be able To thoroughly penetrate this verity, As thou desirest, I will satisfy thee.

(1) Descending, however, to particulars, the soul of animals, the dæmon who presides over them, the air, the motion of the air, and the circulation of the heavens, variously change the viscera, conformably to the will of the Gods. But an indication that they are so changed is this, that they are frequently found without a heart, or deprived of the most principal parts, without which it is not at all possible for animals to be supplied with life. With respect to birds, likewise, the impulse of their proper soul moves them, and also the dæmon who presides over animals; and, together with these, the revolution of the air, and the power of the heavens which descends into the air, accord with the will of the Gods, and consentaneously lead the birds to what the Gods ordained from the first. Of this the greatest indication is, that birds frequently precipitate themselves to the earth, and destroy themselves, which it is not natural for any thing to do; but this is something supernatural, so that it is some other thing which produces these effects through birds.

(69) Therefore we must consider, that the Noise in the Tincture of Man is [of a] higher [Nature] than [that] in the Beasts; for Man searches and distinguishes all Things which give a Sound, and knows from whence it comes, and how it exists, which the Beasts cannot do, but stare at it, and knows not what it is; whereby it may be understood, that the Original of Man, is out of the Eternal, because he can distinguish all Things that in the Out-Birth came out of the Eternal. And hence it is, that the Body (seeing all Things out of the eternal Nothing are caused to be Something which is comprehensible [or palpable,] and yet there, that Nothing is not a mere Nothing, but is a Source) after the Corrupting shall stand in the eternal Figure, and not in the Spirit, because it is not out of the eternal Spirit; for otherwise, if it were out of the [eternal] Spirit, then it should also search out the Beginning of every Thing, as [well as] Man, who in his Sound receives and distinguishes all Things.

(4) And even as birds uprisen from the shore, As in congratulation o'er their food, Make squadrons of themselves, now round, now long, So from within those lights the holy creatures Sang flying to and fro, and in their figures Made of themselves now D, now I, now L. First singing they to their own music moved; Then one becoming of these characters, A little while they rested and were silent. O divine Pegasea, thou who genius Dost glorious make, and render it long-lived, And this through thee the cities and the kingdoms, Illume me with thyself, that I may bring Their figures out as I have them conceived! Apparent be thy power in these brief verses! Themselves then they displayed in five times seven Vowels and consonants; and I observed The parts as they seemed spoken unto me. 'Diligite justitiam,' these were First verb and noun of all that was depicted; 'Qui judicatis terram' were the last. Thereafter in the M of the fifth word Remained they so arranged, that Jupiter Seemed to be silver there with gold inlaid.

(14) Again, that the Spring is called "flowery," from its nature; and Night "still," on account of rest; and the Moon" Gorgonian," on account of the face in it; and that the time in which it is necessary to sow is called Aphrodite by the "Theologian." In the same way, too, the Pythagoreans figuratively called the planets the "dogs of Persephone;" and to the sea they applied the metaphorical appellation of "the tears of Kronus." Myriads on myriads of enigmatical utterances by both poets and philosophers are to be found; and there are also whole books which present the mind of the writer veiled, as that of Heraclitus On Nature, who on this very account is called "Obscure." Similar to this book is the Theology of Pherecydes of Syrup; for Euphorion the poet, and the Causes of Callimachus, and the Alexandra of Lycophron, and the like, are proposed as an exercise in exposition to all the grammarians.

(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.

(24) "The sistrum is designed * * * to represent to us, that every thing must be kept in continual agitation, and never cease from motion; that they ought to be mused and well-shaken, whenever they begin to grow drowsy as it were, and to droop in their motion. For, say they, the sound of these sistra averts and drives away Typho; meaning hereby, that as corruption clogs and puts a stop to the regular course of nature; so generation, by the means of motion, loosens it again, and restores it to its former vigour. Now the outer surface of this instrument is of a convex figure, as within its circumference are contained those four chords or bars [only three shown], which make such a rattling when they are shaken--nor is this without its meaning; for that part of the universe which is subject to generation and corruption is contained within the sphere of the moon; and whatever motions or changes may happen therein, they are all effected by the different combinations of the four elementary bodies, fire, earth, water, and air--moreover, upon the upper part of the convex surface of the sistrum is carved the effigies of a cat with a human visage, as on the lower edge of it, under those moving chords, is engraved on the one side the face of Isis, and on the other that of Nephthys--by the faces symbolically representing generation and corruption (which, as has been already observed, is nothing but the motion and alteration of the four elements one amongst another),"

(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.

(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.

(1) Eager already to search in and round The heavenly forest, dense and living-green, Which tempered to the eyes the new-born day, Withouten more delay I left the bank, Taking the level country slowly, slowly Over the soil that everywhere breathes fragrance. A softly-breathing air, that no mutation Had in itself, upon the forehead smote me No heavier blow than of a gentle wind, Whereat the branches, lightly tremulous, Did all of them bow downward toward that side Where its first shadow casts the Holy Mountain; Yet not from their upright direction swayed, So that the little birds upon their tops Should leave the practice of each art of theirs; But with full ravishment the hours of prime, Singing, received they in the midst of leaves, That ever bore a burden to their rhymes, Such as from branch to branch goes gathering on Through the pine forest on the shore of Chiassi, When Eolus unlooses the Sirocco. Already my slow steps had carried me Into the ancient wood so far, that I Could not perceive where I had entered it.

(2) And now begin the dolesome notes to grow Audible unto me; now am I come There where much lamentation strikes upon me. I came into a place mute of all light, Which bellows as the sea does in a tempest, If by opposing winds 't is combated. The infernal hurricane that never rests Hurtles the spirits onward in its rapine; Whirling them round, and smiting, it molests them. When they arrive before the precipice, There are the shrieks, the plaints, and the laments, There they blaspheme the puissance divine. I understood that unto such a torment The carnal malefactors were condemned, Who reason subjugate to appetite. And as the wings of starlings bear them on In the cold season in large band and full, So doth that blast the spirits maledict; It hither, thither, downward, upward, drives them; No hope doth comfort them for evermore, Not of repose, but even of lesser pain. And as the cranes go chanting forth their lays, Making in air a long line of themselves, So saw I coming, uttering lamentations,

(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.

(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.

(13) Now the compilers of narratives say that in the island of Britain s there is a cave situated under a mountain, and a chasm on its summit; and that, accordingly, when the wind falls into the cave, and rushes into the bosom of the cleft, a sound is heard like cymbals clashing musically. And often in the woods, when the leaves are moved by a sudden gust of wind, a sound is emitted like the song of birds.

(5) And if from smoke a fire may be inferred, Such an oblivion clearly demonstrates Some error in thy will elsewhere intent. Truly from this time forward shall my words Be naked, so far as it is befitting To lay them open unto thy rude gaze." And more coruscant and with slower steps The sun was holding the meridian circle, Which, with the point of view, shifts here and there When halted (as he cometh to a halt, Who goes before a squadron as its escort, If something new he find upon his way) The ladies seven at a dark shadow's edge, Such as, beneath green leaves and branches black, The Alp upon its frigid border wears. In front of them the Tigris and Euphrates Methought I saw forth issue from one fountain, And slowly part, like friends, from one another. "O light, O glory of the human race! What stream is this which here unfolds itself From out one source, and from itself withdraws?"

(1) [Asclepius] And does the Cosmos have a species, O Thrice-greatest one?

[Trismegistus] Dost not thou see, Asclepius, that all has been explained to thee as though to one asleep? For what is Cosmos, or of what doth it consist, if not of all things born? This, then, you may assert of heaven, and earth, and elements. For though the other things possess more frequent change of species, [still even] heaven, [by its] becoming moist, or dry, or cold, or hot, or clear, or dull, [all] in one kind of heaven,—these [too] are frequent changes into species.

(12) At this point I have just recollected the following. In the end of the Timoeus he says: "You must necessarily assimilate that which perceives to that which is perceived, according to its original nature; and it is by so assimilating it that you attain to the end of the highest life proposed by the gods to men, for the present or the future time." For those have equal power with these. He, who seeks, will not stop till he find; and having found, he will wonder; and wondering, he will reign; and reigning, he will rest. And what? Were not also those expressions of Thales derived from these? The fact that God is glorified for ever, and that He is expressly called by us the Searcher of hearts, he interprets. For Thales being asked, What is the divinity? said, What has neither beginning nor end. And on another asking, "If a man could elude the knowledge of the Divine Being while doing aught?" said, "How could he who cannot do so while thinking?"