Info:3548c09a-a8a6-474a-b6fa-7167d7869525

Query: 5. Music, Temperament, and Social Concord{{Article buttons|override=The Creation of Order/Summer: Balancing Self-Expression With Group Order/5. Music, Temperament, and Social Concord|DeepArea=The Creation of Order/Summer: Balancing Self-Expression With Group Order/5. Music, Temperament, and Social Concord}}
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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.

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