XXXVI. ‘Hence again the ancients were accustomed to use the words “to
take fives” for to count. I think, too, that the word for “all”
(_panta_) has been logically formed as though from “five” (_pente_)
because the number five is composed of the first numbers. For the others
when multiplied by other numbers come out to a product different from
themselves; but five if taken an even number of times gives a perfect
ten, if an odd, it reproduces itself. I pass over the facts [Sidenote:
E] that five is composed of the first two squares, one and four, and
that its own square is equal to the sum of the two before it, forming
with them the most beautiful of right-angled triangles, and that it is
the first number to give sesquiplicate ratio. For perhaps they are not
germane to the subject before us. This, however, is more germane, that
the number five has a divisory virtue, and Nature divides most things by
five. In [Sidenote: F] ourselves are five senses, and there are five
parts of the soul, those of growth, sense, appetite, passion, reason. We
have five fingers on each hand; seed is most fertile when it parts into
five (no instance has been recorded of a woman bearing more than five at
a birth); Rhea is said in Egyptian mythology to have given birth to five
Gods,[175] a veiled reference to the production of the five worlds out
of one matter. Turning to the universe, the surface of earth is divided
into five zones, and the Heavens are divided by five circles, two
Arctic, two [Sidenote: 430] Tropic, one in the middle, the Equinoctial.
Five are the orbits of the planets, if we take those of the sun and
Venus and Mercury as one. Lastly, the universe has been composed in the
Enharmonic Scale, just as our melody is made up of the arrangement of
five Tetrachords, lowest, middle, conjunct, disjunct, highest. And the
intervals are five: diesis, semitone, tone, tone and a half, double
tone. Thus it seems that Nature loves to make all things on the
principle of five, rather than, as Aristotle[176] used to say, of the
Sphere.
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