Fact Check - 5. Music, Temperament, and Social Concord

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The Creation of Order »  Query: 5. Music, Temperament, and Social Concord

Fact Check

Quoted text:

Suppose we try to tune the scale by thirds, e.g., C, E, G♯, C. We are back at the tonic. Yet here again we encounter the same problem: The third is 5/4. And (5/4)2 is 25/16. We thus are dealing once again with powers of 5 (odd number) divided by sequences of even-numbered powers of 2.

Can a music expert check that this makes sense?

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