Fact Check - 5. Music, Temperament, and Social Concord
From The Observatory
Query: 5. Music, Temperament, and Social Concord
Fact Check
Quoted text:
The first fifth—from C to G—is thus 3:2. But to go up another fifth, we must multiply the first 3:2 by another 3:2. In other words we must square it. This produces 9:4—the note D. It relates to C’ as 9:8, and this fraction thus represents the whole tone—C to D.
We thus see that to add one fifth to another, we must multiply their ratios. And this is what is meant by “geometric” growth.Can a music expert check that this makes sense?
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