(25) The names given by the Pythagoreans to the various notes of the diatonic scale were, according to Macrobius, derived from an estimation of the velocity and magnitude of the planetary bodies. Each of these gigantic spheres as it rushed endlessly through space was believed to sound a certain tone caused by its continuous displacement of the æthereal diffusion. As these tones were a manifestation of divine order and motion, it must necessarily follow that they partook of the harmony of their own source. "The assertion that the planets in their revolutions round the earth uttered certain sounds differing according to their respective 'magnitude, celerity and local distance,' was commonly made by the Greeks. Thus Saturn, the farthest planet, was said to give the gravest note, while the Moon, which is the nearest, gave the sharpest. 'These sounds of the seven planets, and the sphere of the fixed stars, together with that above us [Antichthon], are the nine Muses, and their joint symphony is called Mnemosyne.'" (See The Canon.)This quotation contains an obscure reference to the ninefold division of the universe previously mentioned.

(45) "Then, being naked of all the accumulations of the seven Rings, the soul comes to the Eighth Sphere, namely, the ring of the fixed stars. Here, freed of all illusion, it dwells in the Light and sings praises to the Father in a voice which only the pure of spirit may understand. Behold, O Hermes, there is a great mystery in the Eighth Sphere, for the Milky Way is the seed-ground of souls, and from it they drop into the Rings, and to the Milky Way they return again from the wheels of Saturn. But some cannot climb the seven-runged ladder of the Rings. So they wander in darkness below and are swept into eternity with the illusion of sense and earthiness.

(2) Thus distant round the point a circle of fire So swiftly whirled, that it would have surpassed Whatever motion soonest girds the world; And this was by another circumcinct, That by a third, the third then by a fourth, By a fifth the fourth, and then by a sixth the fifth; The seventh followed thereupon in width So ample now, that Juno's messenger Entire would be too narrow to contain it. Even so the eighth and ninth; and every one More slowly moved, according as it was In number distant farther from the first. And that one had its flame most crystalline From which less distant was the stainless spark, I think because more with its truth imbued. My Lady, who in my anxiety Beheld me much perplexed, said: "From that point Dependent is the heaven and nature all. Behold that circle most conjoined to it, And know thou, that its motion is so swift Through burning love whereby it is spurred on." And I to her: "If the world were arranged In the order which I see in yonder wheels, What's set before me would have satisfied me;

(39) Timaeus: for, because of their simultaneous progress in two opposite directions, the motion of the Same, which is the swiftest of all motions, twisted all their circles into spirals and thus caused the body which moves away from it most slowly to appear the nearest. And in order that there might be a clear measure of the relative speeds, slow and quick, with which they travelled round their eight orbits, in that circle which is second from the earth God kindled a light which now we call the Sun, to the end that it might shine, so far as possible, throughout the whole Heaven, and that all the living creatures entitled thereto might participate in number, learning it from the revolution of the Same and Similar.

(24) Pythagoras conceived the universe to be an immense monochord, with its single string connected at its upper end to absolute spirit and at its lower end to absolute matter--in other words, a cord stretched between heaven and earth. Counting inward from the circumference of the heavens, Pythagoras, according to some authorities, divided the universe into nine parts; according to others, into twelve parts. The twelvefold system was as follows: The first division was called the empyrean, or the sphere of the fixed stars, and was the dwelling place of the immortals. The second to twelfth divisions were (in order) the spheres of Saturn, Jupiter, Mars, the sun, Venus, Mercury, and the moon, and fire, air, water, and earth. This arrangement of the seven planets (the sun and moon being regarded as planets in the old astronomy) is identical with the candlestick symbolism of the Jews--the sun in the center as the main stem with three planets on either side of it.

(40) Timaeus: and the other is a forward motion due to its being dominated by the revolution of the Same and Similar; but in respect of the other five motions they are at rest and move not, so that each of them may attain the greatest possible perfection. From this cause, then, came into existence all those unwandering stars which are living creatures divine and eternal and abide for ever revolving uniformly in the same spot; and those which keep swerving and wandering have been generated in the fashion previously described. And Earth, our nurse, which is globed around the pole that stretches through all,

(39) Timaeus: and had learnt their appointed duties; then they kept revolving around the circuit of the Other, which is transverse and passes through the circuit of the Same and is dominated thereby; and part of them moved in a greater, part in a smaller circle, those in the smaller moving more quickly and those in the greater more slowly. And because of the motion of the Same, the stars which revolved most quickly appeared to be overtaken by those which moved most slowly, although in truth they overtook them;

(1) Let him imagine, who would well conceive What now I saw, and let him while I speak Retain the image as a steadfast rock, The fifteen stars, that in their divers regions The sky enliven with a light so great That it transcends all clusters of the air; Let him the Wain imagine unto which Our vault of heaven sufficeth night and day, So that in turning of its pole it fails not; Let him the mouth imagine of the horn That in the point beginneth of the axis Round about which the primal wheel revolves,— To have fashioned of themselves two signs in heaven, Like unto that which Minos' daughter made, The moment when she felt the frost of death; And one to have its rays within the other, And both to whirl themselves in such a manner That one should forward go, the other backward; And he will have some shadowing forth of that True constellation and the double dance That circled round the point at which I was; Because it is as much beyond our wont, As swifter than the motion of the Chiana Moveth the heaven that all the rest outspeeds.

(2) All things being undefined and yet unwrought, the light things were assigned unto the height, the heavy ones had their foundations laid down underneath the moist part of Dry Space, the universal things being bounded off by Fire and hanged in Breath to keep them up. And Heaven was seen in seven circles; its Gods were visible in forms of stars with all their signs; while Nature had her members made articulate together with the Gods in her. And [Heaven's] periphery revolved in cyclic course, borne on by Breath of God.

(38) Timaeus: The Moon He placed in the first circle around the Earth, the Sun in the second above the Earth; and the Morning Star and the Star called Sacred to Hermes He placed in those circles which move in an orbit equal to the Sun in velocity, but endowed with a power contrary thereto; whence it is that the Sun and the Star of Hermes and the Morning Star regularly overtake and are overtaken by one another. As to the rest of the stars, were one to describe in detail the positions in which He set them, and all the reasons therefor,

(38) For the instant or innate wheel of the stars and planets is no otherwise than as the birth of the seventh spirit of nature, before the time of the world rose up, wherein were formed images and figures, forms, shapes or ideas, as also heavenly fruits, according to the eternal right, law or order of the Deity.

(36) Timaeus: to the Revolution of the Same and of the Uniform. For this alone He suffered to remain uncloven, whereas He split the inner Revolution in six places into seven unequal circles, according to each of the intervals of the double and triple intervals, three double and three triple . These two circles then He appointed to go in contrary directions; and of the seven circles into which He split the inner circle, He appointed three to revolve at an equal speed, the other four to go at speeds equal neither with each other nor with the speed of the aforesaid three, yet moving at speeds the ratios of which one to another are those of natural integers. And when the construction of the Soul had all been completed to the satisfaction of its Constructor, then He fabricated within it all the Corporeal,

(4) He whose omniscience everything transcends The heavens created, and gave who should guide them, That every part to every part may shine, Distributing the light in equal measure; He in like manner to the mundane splendours Ordained a general ministress and guide, That she might change at times the empty treasures From race to race, from one blood to another, Beyond resistance of all human wisdom. Therefore one people triumphs, and another Languishes, in pursuance of her judgment, Which hidden is, as in the grass a serpent. Your knowledge has no counterstand against her; She makes provision, judges, and pursues Her governance, as theirs the other gods. Her permutations have not any truce; Necessity makes her precipitate, So often cometh who his turn obtains. And this is she who is so crucified Even by those who ought to give her praise, Giving her blame amiss, and bad repute. But she is blissful, and she hears it not; Among the other primal creatures gladsome She turns her sphere, and blissful she rejoices.

(7) Behold, again, the seven subject Worlds; ordered by Aeon's order, and with their varied course full-filling Aeon! [See how] all things [are] full of light, and nowhere [is there] fire; for 'tis the love and the blending of the contraries and the dissimilars that doth give birth to light down shining by the energy of God, the Father of all good, the Leader of all order, and Ruler of the seven world-orderings! [Behold] the Moon, forerunner of them all, the instrument of nature, and the transmuter of its lower matter! [Look at] the Earth set in the midst of All, foundation of the Cosmos Beautiful, feeder and nurse of things on Earth! And contemplate the multitude of deathless lives, how great it is, and that of lives subject to death; and midway, between both, immortal [lives] and mortal, [see thou] the circling Moon.

(3) The “Thirty-six,” who have the name of Horoscopes, are in the [self] same space as the Fixed Stars; of these the essence-chief, or prince, is he whom they call Pantomorph, or Omniform, who fashioneth the various forms for various species. The “Seven” who are called spheres, have essence-chiefs, that is, [have each] their proper rulers, whom they call [all together] Fortune and Heimarmenē, whereby all things are changed by nature’s law; perpetual stability being varied with incessant motion. The Air, moreover, is the engine, or machine, through which all things are made—(there is, however, an essence-chief of this, a second [Air])—mortal from mortal things and things like these.

(36) Timaeus: and bent either of them into a circle, and join them, each to itself and also to the other, at a point opposite to where they had first been laid together. And He compassed them about with the motion that revolves in the same spot continually, and He made the one circle outer and the other inner. And the outer motion He ordained to be the Motion of the Same, and the inner motion the Motion of the Other. And He made the Motion of the Same to be toward the right along the side, and the Motion of the Other to be toward the left along the diagonal ; and He gave the sovranty

(38) Timaeus: the copy, on the other hand, is through all time, continually having existed, existing, and being about to exist. Wherefore, as a consequence of this reasoning and design on the part of God, with a view to the generation of Time, the sun and moon and five other stars, which bear the appellation of “planets,” came into existence for the determining and preserving of the numbers of Time. And when God had made the bodies of each of them He placed them in the orbits along which the revolution of the Other was moving, seven orbits for the seven bodies. .

(7) We can scarcely do better, in fine, than follow Plato.

Thus:

In the universe as a whole there must necessarily be such a degree of solidity, that is to say, of resistance, as will ensure that the earth, set in the centre, be a sure footing and support to the living beings moving over it, and inevitably communicate something of its own density to them: the earth will possess coherence by its own unaided quality, but visibility by the presence of fire: it will contain water against the dryness which would prevent the cohesion of its particles; it will hold air to lighten its bulky matters; it will be in contact with the celestial fire- not as being a member of the sidereal system but by the simple fact that the fire there and our earth both belong to the ordered universe so that something of the earth is taken up by the fire as something of the fire by the earth and something of everything by everything else.

This borrowing, however, does not mean that the one thing taking-up from the other enters into a composition, becoming an element in a total of both: it is simply a consequence of the kosmic fellowship; the participant retains its own being and takes over not the thing itself but some property of the thing, not air but air's yielding softness, not fire but fire's incandescence: mixing is another process, a complete surrender with a resultant compound not, as in this case, earth- remaining earth, the solidity and density we know- with something of fire's qualities superadded.

We have authority for this where we read:

"At the second circuit from the earth, God kindled a light": he is speaking of the sun which, elsewhere, he calls the all-glowing and, again, the all-gleaming: thus he prevents us imagining it to be anything else but fire, though of a peculiar kind; in other words it is light, which he distinguishes from flame as being only modestly warm: this light is a corporeal substance but from it there shines forth that other "light" which, though it carries the same name, we pronounce incorporeal, given forth from the first as its flower and radiance, the veritable "incandescent body." Plato's word earthy is commonly taken in too depreciatory a sense: he is thinking of earth as the principle of solidity; we are apt to ignore his distinctions and think of the concrete clay.

Fire of this order, giving forth this purest light, belongs to the upper realm, and there its seat is fixed by nature; but we must not, on that account, suppose the flame of earth to be associated with the beings of that higher sphere.

No: the flame of this world, once it has attained a certain height, is extinguished by the currents of air opposed to it. Moreover, as it carries an earthy element on its upward path, it is weighed downwards and cannot reach those loftier regions. It comes to a stand somewhere below the moon- making the air at that point subtler- and its flame, if any flame can persist, is subdued and softened, and no longer retains its first intensity, but gives out only what radiance it reflects from the light above.

And it is that loftier light- falling variously upon the stars; to each in a certain proportion- that gives them their characteristic differences, as well in magnitude as in colour; just such light constitutes also the still higher heavenly bodies which, however, like clear air, are invisible because of the subtle texture and unresisting transparency of their material substance and also by their very distance.

(3) But tell me what the dusky spots may be Upon this body, which below on earth Make people tell that fabulous tale of Cain?" Somewhat she smiled; and then, "If the opinion Of mortals be erroneous," she said, "Where'er the key of sense doth not unlock, Certes, the shafts of wonder should not pierce thee Now, forasmuch as, following the senses, Thou seest that the reason has short wings. But tell me what thou think'st of it thyself." And I: "What seems to us up here diverse, Is caused, I think, by bodies rare and dense." And she: "Right truly shalt thou see immersed In error thy belief, if well thou hearest The argument that I shall make against it. Lights many the eighth sphere displays to you Which in their quality and quantity May noted be of aspects different. If this were caused by rare and dense alone, One only virtue would there be in all Or more or less diffused, or equally. Virtues diverse must be perforce the fruits Of formal principles; and these, save one, Of course would by thy reasoning be destroyed.

(53) "Plato writes that it is needful for the philosopher to know how the seven circles beneath the first one are arranged according to the Egyptians. The first triad of fire denotes life; the second, water, over which rule the Ibimorphous divinities; and the third, air, ruled by Nephta. From the fire the heavens were created, from the water the earth, and air was the mediator between them. In the Sephira Yetzirah it is said that from the three originate the seven, i. e., the height, the depth, the East, the West, the North, and the South, and the Holy Temple in the center sustaining them all. Is not the Holy Temple in the center the great throne of the many-formed Spirit of Nature which is shown in the middle of the Tablet? What are the seven triads but the seven Powers that rule over the world? Psellus writes: 'The Egyptians worshipped the triad of faith, truth, and love; and the seven fountains: the Sun as ruler--the fountain of matter; then the fountain of the archangels; the fountain of the senses; of judgment; of lightning; of reflections; and of characters of unknown composition. They say that the highest material fountains are those of Apollo, Osiris, and Mercury--the fountains of the centers of the elements. 'Thus, they understood by the Sun as ruler the solar world; by the material archangelic, the lunar world; by the fountain of the senses, the world of Saturn; by judgment, Jupiter; by lightning, Mars; by that of the reflections, or mirrors, the world of Venus; by the fountain of characters, the world of Mercury. All these are shown by the figures in the center pane of the Tablet."