(126) The Pythagoreans held the hexad--6--to represent, as Clement of Alexandria conceived, the creation of the world according to both the prophets and the ancient Mysteries. It was called by the Pythagoreans the perfection of all the parts. This number was particularly sacred to Orpheus, and also to the Fate, Lachesis, and the Muse, Thalia. It was called the form of forms, the articulation of the universe, and the maker of the soul.

(20) At the vernal equinox, the sun had grown to be a beautiful youth. His golden hair hung in ringlets on his shoulders and his light, as Schiller said, extended to all parts of infinity. At the summer solstice, the sun became a strong man, heavily bearded, who, in the prime of maturity, symbolized the fact that Nature at this period of the year is strongest and most fecund. At the autumnal equinox, the sun was pictured as an aged man, shuffling along with bended back and whitened locks into the oblivion of winter darkness. Thus, twelve months were assigned to the sun as the length of its life. During this period it circled the twelve signs of the zodiac in a magnificent triumphal march. When fall came, it entered, like Samson, into the house of Delilah (Virgo), where its rays were cut off and it lost its strength. In Masonry, the cruel winter months are symbolized by three murderers who sought to destroy the God of Light and Truth.

(74) And the overplus of the sun and of the stars amounts to six days: in 5 years 6 days every year come to 30 days: and the moon falls behind the sun and stars to the number of 30 days.

(546) the laws which regulate them will not be discovered by an intelligence which is alloyed with sense, but will escape them, and they will bring children into the world when they ought not. Now that which is of divine birth has a period which is contained in a perfect number, 1 but the period of human birth is comprehended in a number in which first increments by involution and evolution [ or squared and cubed] obtaining three intervals and four terms of like and unlike, waxing and waning numbers, make all the terms commensurable and agreeable to one another. 2 The base of these (3) with a third added (4) when combined with five (20) and raised to the third power furnishes two harmonies; the first a square which is a hundred times as great (400 = 4 × 100), 3 and the other a figure having one side equal to the former, but oblong, 4 consisting of a hundred numbers squared upon rational diameters of a square (i.e. omitting fractions), the side of which is five (7 × 7 = 49 × 100 = 4900), each of them being less by one (than the perfect square which includes the fractions, sc. 50) or less by 5 two perfect squares of irrational diameters (of a square the side of which is five = 50 + 50 = 100); and a hundred cubes of three (27 × 100 = 2700 + 4900 + 400 = 8000). Now this number represents a geometrical figure which has control over the good and evil of births. For when your guardians are ignorant of the law of births, and unite bride and bridegroom out of season, the children will not be goodly or fortunate. And though only the best of them will be appointed by their predecessors, still they will be unworthy to hold their fathers’ places, and when they come into power as guardians, they will soon be found to fail in taking care of us, the Muses, first by under-valuing music; which neglect will soon extend to gymnastic; and hence the young men of your State will be less cultivated. In the succeeding generation rulers will be appointed who have lost the guardian power of testing the metal of your

(39) Timaeus: In this wise and for these reasons were generated Night and Day, which are the revolution of the one and most intelligent circuit; and Month, every time that the Moon having completed her own orbit overtakes the Sun; and Year, as often as the Sun has completed his own orbit. Of the other stars the revolutions have not been discovered by men (save for a few out of the many); wherefore they have no names for them, nor do they compute and compare their relative measurements, so that they are not aware, as a rule,

(39) Timaeus: that the “wanderings“ of these bodies, which are hard to calculate and of wondrous complexity, constitute Time. Nevertheless, it is still quite possible to perceive that the complete number of Time fulfils the Complete Year when all the eight circuits, with their relative speeds, finish together and come to a head, when measured by the revolution of the Same and Similarly-moving. In this wise and for these reasons were generated all those stars which turn themselves about as they travel through Heaven, to the end that this Universe might be as similar as possible to the perfect and intelligible Living Creature in respect of its imitation of the Eternal

(8) The first six signs of the zodiac of twelve signs were regarded as benevolent, because the sun occupied them while traversing the Northern Hemisphere. The 6,000 years during which, according to the Persians, Ahura-Mazda ruled His universe in harmony and peace, were symbolic of these six signs. The second six were considered malevolent, because while the sun was traveling the Southern Hemisphere it was winter with the Greeks, Egyptians, and Persians. Therefore these six months symbolic of the 6,000 years of misery and suffering caused by the evil genius of the Persians, Ahriman, who sought to overthrow the power of Ahura-Mazda.

(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.

(2) It is always necessary first to count the day and afterwards the night, for first the day goes off, and then the night comes on. And from the season (gâs) of Mêdôk-shêm, which is the auspicious day Khûr of the month Tîr, to the season of Mêdîyârêm, which is the auspicious day Vâhrâm of the month Dîn—the shortest day—the night increases; and from the season of Mêdîyârêm to the season of Mêdôk-shêm the night decreases and the day increases. 4. The summer day is as much as two of the shortest winter days, and the winter night is as much as two of the shortest summer nights. 5. The summer day is twelve Hâsars, the night six Hâsars; the winter night is twelve Hâsars, the day six; a Hâsar being a measure of time and, in like manner, of land. 6. In the season of Hamêspamadâyêm, that is, the five supplementary days at the end of the month Spendarmad, the day and night are again equal. 7. As from the auspicious day Aûharmazd of the month Fravardîn to the auspicious day Anîrân of the month Mitrô is the summer of seven months, so from the auspicious day Aûharmazd of the month Âvân to the auspicious month Spendarmad, on to the end of the five supplementary days, is winter of five months. 8. The priest fulfils the regulation (vakar) about a corpse and other things, by this calculation as to summer and winter. 9. In those seven months of summer the periods (gâs) of the days and nights are five—since one celebrates the Rapîtvîn—namely, the period of daybreak is Hâvan, the period of midday is Rapîtvîn, the period of afternoon is Aûzêrîn, when the appearance of the stars has come into the sky until midnight is the period of Aîbisrûtêm, from midnight until the stars become imperceptible is the period of Aûshahîn. 10. In winter are four periods, for from daybreak till Aûshahîn is all Hâvan, and the rest as I have said; and the reason of it is this, that the appearance of winter is in the direction of the north, where the regions Vôrûbarst and Vôrûgarst are; the original dwelling of summer, too, is in the south, where the regions Fradadafsh and Vîdadafsh are; on the day Aûharmazd of the auspicious month Âvân the winter acquires strength and enters into the world, and the spirit of Rapîtvîn goes from above-ground to below-ground, where the spring (khânî) of waters is, and diffuses warmth and moisture in the water, and so many roots of trees do not wither with cold and drought. 11. And on the auspicious day Âtarô of the month Dîn the winter arrives, with much cold, at Aîrân-vêg; and until the end, in the auspicious month Spendarmad, winter advances through the whole world; on this account they kindle a fire everywhere on the day Âtarô of the month Dîn, and it forms an indication that winter has come. 12. In those five months the water of springs and conduits is all warm, for Rapîtvîn keeps warmth and moisture there, and one does not celebrate the period of Rapîtvîn. 13. As the day Aûharmazd of the month Fravardîn advances it diminishes the strength which winter possesses, and summer comes in from its own original dwelling, and receives strength and dominion. 14. Rapîtvîn comes up from below-ground, and ripens the fruit of the trees; on this account the water of springs is cold in summer, for Rapîtvîn is not there; and those seven months one celebrates the Rapîtvîn, and summer advances through the whole earth. 15. And yet in the direction of Hindûstân, there where the original dwelling of summer is nearer, it is always neither cold nor hot; for in the season which is the dominion of summer, the rain always dispels most of the heat, and it does not become perceptible; in the winter rain does not fall, and the cold does not become very perceptible. 16. In the northern direction, where the preparation of winter is, it is always cold; for in the summer mostly, on account of the more oppressive winter there, it is not possible so to dispel the cold that one might make it quite warm. 17. In the middle localities the cold of winter and heat of summer both come on vehemently. 18. Again, the year dependent on the revolving moon is not equal to the computed year on this account, for the moon returns one time in twenty-nine, and one time in thirty days, and there are four hours (zamân) more than such a one of its years; as it says, that every one deceives where they speak about the moon (or month), except when they say that it comes twice in sixty days. 19. Whoever keeps the year by the revolution of the moon mingles summer with winter and winter with summer. 20. This, too, it says, that the auspicious month Fravardîn, the month Ardavahist, and the month Horvadad are spring; the month Tîr, the month Amerôdad, and the month Shatvaîrô are summer; the month Mitrô, the month Âvân, and the month Âtarô are autumn; the month Dîn, the month Vohûman, and the month Spendarmad are winter. 21. And the sun comes from the sign (khûrdak) of Aries, into which it proceeded in the beginning, back to that same place in three hundred and sixty-five days and six short times (hours), which are one year. 22. As every three months it (the sun) advances through three constellations, more or less, the moon comes, in a hundred and eighty days, back to the place out of which it travelled in the beginning.

(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.

(49) In the Third Book of the Mathesis of Julius Firmicus Maternus appears the following extract concerning the positions of the heavenly bodies at the time of the establishment of the inferior universe: "According to Æsculapius, therefore, and Anubius, to whom especially the divinity Mercury committed the secrets of the astrological science, the geniture of the world is as follows: They constituted the Sun in the 15th part of Leo, the Moon in the 15th part of Cancer, Saturn in the 15th part of Capricorn, Jupiter in the 15th part of Sagittary, Mars in the 15th part of Scorpio, Venus in the 15th part of Libra, Mercury in the 15th part of Virgo, and the Horoscope in the 15th part of Cancer. Conformably to this geniture, therefore, to these conditions of the stars, and the testimonies which they adduce in confirmation of this geniture, they are of opinion that the destinies of men, also, are disposed in accordance with the above arrangement, as maybe learnt from that book of Æsculapius which is called Μυριογενεσις, (i.e. Ten Thousand, or an innumerable multitude of Genitures) in order that nothing in the several genitures of men may be found to be discordant with the above-mentioned geniture of the world." The seven ages of man are under the control of the planets in the following order: infancy, the moon; childhood, Mercury; adolescence, Venus; maturity, the sun; middle age, Mars; advanced age, Jupiter; and decrepitude and dissolution, Saturn.

(4) From two letters, or forms He composed two dwellings; from three, six; from four, twenty-four; from five, one hundred and twenty; from six, seven hundred and twenty; from seven, five thousand and forty; and from thence their numbers increase in a manner beyond counting; and are incomprehensible. These seven are Planets of the Universe, the Sun, Venus, Mercury, Moon, Saturn, Jupiter, and Mars; the seven days are the days of creation; and these an the seven gateways of a man, two eyes, two ears, two nostrils and a mouth, through which he perceives by his senses.

(127) Among the Greeks, harmony and the soul were considered to be similar in nature, because all souls are harmonic. The hexad is also the symbol of marriage, because it is formed by the union of two triangles, one masculine and the other feminine. Among the keywords given to the hexad are: time, for it is the measure of duration; panacea, because health is equilibrium, and the hexad is a balance number; the world, because the world, like the hexad, is often seen to consist of contraries by harmony; omnisufficient, because its parts are sufficient for totality (3 +2 + 1 = 6); unwearied, because it contains the elements of immortality.

(12) Hermes: This dwelling-place through which we have just passed circle of the twelve types-of-life, this being composed of elements, twelve in number, but of one nature, an omniform idea. For man's delusion there are disunions in them, son, while in their action they are one. Not only can we never part Rashness from Wrath; they cannot even be distinguished. According to right reason (logos), then, they naturally withdraw once and for all, in as much as they are chased out by no less than ten powers, that is, the Ten. For, son, the Ten is that which giveth birth to souls. And Life and Light are unified there, where the One hath being from the Spirit. According then to reason (logos) the One contains the Ten, the Ten the One.

(42) The occultists of the ancient world had a most remarkable understanding of the principle of evolution. They recognized all life as being in various stages of becoming. They believed that grains of sand were in the process of becoming human in consciousness but not necessarily in form; that human creatures were in the process of becoming planets; that planets were in the process of becoming solar systems; and that solar systems were in the process of becoming cosmic chains; and so on ad infinitum. One of the stages between the solar system and the cosmic chain was called the zodiac; therefore they taught that at a certain time a solar system breaks up into a zodiac. The house of the zodiac become the thrones for twelve Celestial Hierarchies, or as certain of the ancients state, ten Divine Orders. Pythagoras taught that 10, or the unit of the decimal system, was the most perfect of all numbers, and he symbolized the number ten by the lesser tetractys, an arrangement of ten dots in the form of an upright triangle.

(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. .

(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,

(3) "And the Fate and the sphere over which they rule, I have changed and brought it to pass that they spend six months turned to the left and accomplish their influences, and that six months they face to the right and accomplish their influences. For by command of the First Commandment and by command of the First Mystery Yew, the Overseer of the Light, had set them facing the left at every time and accomplishing their influences and their deeds.

(55) According to Pythagoras, the position of each body in the universe was determined by the essential dignity of that body. The popular concept of his day was that the earth occupied the center of the solar system; that the planets, including the sun and moon, moved about the earth; and that the earth itself was flat and square. Contrary to this concept, and regardless of criticism, Pythagoras declared that fire was the most important of all the elements; that the center was the most important part of every body; and that, just as Vesta's fire was in the midst of every home, so in the midst of the universe was a flaming sphere of celestial radiance. This central globe he called the Tower of Jupiter, the Globe of Unity, the Grand Monad, and the Altar of Vesta. As the sacred number 10 symbolized the sum of all parts and the completeness of all things, it was only natural for Pythagoras to divide the universe into ten spheres, symbolized by ten concentric circles. These circles began at the center with the globe of Divine Fire; then came the seven planers, the earth, and another mysterious planet, called Antichthon, which was never visible.

(38) the winter solstice of the spirit. Reaching the winter solstice, the sun apparently stands still for three days and then, rolling away the stone of winter, begins its triumphal march north towards the summer solstice. The condition of ignorance may be likened to the winter solstice of philosophy; spiritual understanding to the summer solstice. From this point of view, initiation into the Mysteries becomes the vernal equinox of the spirit, at which time the CHiram in man crosses from the realm of mortality into that of eternal life. The autumnal equinox is analogous to the mythological fall of man, at which time the human spirit descended into the realms of Hades by being immersed in the illusion of terrestrial existence.