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But, according to natural philosophy, both harmony
and its parts consist of even, odd, and also even-odd.
Altogether it is even, as consisting of four terms; but its
parts and proportions are even, odd, and even-odd. So
nete is even, as consisting of twelve units; paramese is
odd, of nine; mese even, of eight; and hypate even-odd,
[p. 121]
of six (i.e., 2×3). Whence it comes to pass, that music
—herself and her parts—being thus constituted as to excesses and proportion, the whole accords with the whole,
and also with each one of the parts.
Plutarch. Plutarch's Morals. Translated from the Greek by several hands. Corrected and revised by. William W. Goodwin, PH. D. Boston. Little, Brown, and Company. Cambridge. Press Of John Wilson and son. 1874. 1.
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