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:6, 9:12. To these three were added two Greek composite consonances: octave plus fifth, 1:2:3 and double octave, 1:2:4. They then found that all the intervals they deemed pleasant were contained in the simple whole numbers 1, 2, 3, 4, and that these numbers were in their sacred tetractys, which added up to the number of fingers on the human hands.

Pythagoreans thought it was clear that the distances between the planets would have the same ratios as produced harmonious sounds in plucked strings (Calter). To the Greeks, the solar system consisted of 10 spheres re

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