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[35c] the sixth eight times as much as the first; and the seventh twenty-seven times as much as the first.1

1 These seven numbers may be arranged in two branches, in order to show the two series of which Timaeus immediately goes on the speak:

1(the 1st), 2(the 2nd), 4(the 4th), 8(the 6th); 3(the 3rd), 9(the 5th), 27(the 7th). The former branch contains the “double intervals,” i.e., the powers of 2; the latter one the “triple intervals,” i.e., the powers of 3.

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