In just tuning, the ratio for a major third is 5/4. In equally tempered tuning, the ratio is 1.260. If a scale is started on a frequency of 500 Hz for do, what is the difference in frequency for mi (a major third above do) on an equally tempered piano and a justly tuned piano? The difference in frequency for mi is ____ Hz

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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Chapter18: Superposition And Standing Waves
Section18.8: Beats
Problem 18.5CE: Tuning the Guitar Before a performance, a piano is tuned so that the middle A string emits sound at...
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In just tuning, the ratio for a major third is 5/4. In equally tempered tuning, the ratio is 1.260. If a scale is started on a frequency of 500 Hz for do, what is the difference in frequency for mi (a major third above do) on an equally tempered piano and a justly tuned piano?

The difference in frequency for mi is ____ Hz.

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