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Question 431842: Music is created when tones are produced separately or together. The frequency of these tones is measured in cycles per second. Musical instruments are normally tuned with equal temperament, with the note A above middle C on a piano having a frequency of 440 cycles per second. To create a major or a minor chord, three notes need to be played at the same time. The ratio of note frequencies for a major chord is 4:5:6, while the ratio for a minor chord is 10:12:15. What is the frequency ratio (in cycles per second) of the middle note of a major chord to the middle note of a minor chord?
Answer by richard1234(7193) (Show Source):
You can put this solution on YOUR website! Suppose we have an A Major chord and an a minor chord. Since both A's are assumed to be 440 Hz, then we can compute all the other frequencies, using ratios:
A M -- 440 550 660
a m -- 440 528 660
The ratio is 550/528 = 25/24. We have a ratio, so instead of the frequency ratio in cycles per second, it is in fact unitless.
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