And so the thought of God made a God in the image of a perfect
body, having intercourse with himself and needing no other, but
in every part harmonious and self-contained and truly blessed.
The soul was first made by him—the elder to rule the younger; not
in the order in which our wayward fancy has led us to describe
them, but the soul first and afterwards the body. God took of the
unchangeable and indivisible and also of the divisible and
corporeal, and out of the two he made a third nature, essence,
which was in a mean between them, and partook of the same and the
other, the intractable nature of the other being compressed into
the same. Having made a compound of all the three, he proceeded
to divide the entire mass into portions related to one another in
the ratios of 1, 2, 3, 4, 9, 8, 27, and proceeded to fill up the
double and triple intervals thus—
- over 1, 4/3, 3/2, - over 2, 8/3, 3, - over 4, 16/3, 6, - over 8:
- over 1, 3/2, 2, - over 3, 9/2, 6, - over 9, 27/2, 18, - over 27;
in which double series of numbers are two kinds of means; the one
exceeds and is exceeded by equal parts of the extremes, e.g. 1,
4/3, 2; the other kind of mean is one which is equidistant from
the extremes—2, 4, 6. In this manner there were formed intervals
of thirds, 3:2, of fourths, 4:3, and of ninths, 9:8. And next he
filled up the intervals of a fourth with ninths, leaving a
remnant which is in the ratio of 256:243. The entire compound was
divided by him lengthways into two parts, which he united at the
centre like the letter X, and bent into an inner and outer circle
or sphere, cutting one another again at a point over against the
point at which they cross. The outer circle or sphere was named
the sphere of the same—the inner, the sphere of the other or
diverse; and the one revolved horizontally to the right, the
other diagonally to the left. To the sphere of the same which was
undivided he gave dominion, but the sphere of the other or
diverse was distributed into seven unequal orbits, having
intervals in ratios of twos and threes, three of either sort, and
he bade the orbits move in opposite directions to one
another—three of them, the Sun, Mercury, Venus, with equal
swiftness, and the remaining four—the Moon, Saturn, Mars,
Jupiter, with unequal swiftness to the three and to one another,
but all in due proportion.