Musical Scales Starting on the left side of a standard

Chapter , Problem 4.2.57

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Musical Scales Starting on the left side of a standard 88-key piano, the frequency, in vibrations per second, of the nth note is given by f(n) = (27.5)2(n-1)/12 a. Using this formula, determine the frequency, to the nearest hundredth of a vibration per second, of middle C, key number 40 on an 88-key piano. b. Is the difference in frequency between middle C (key number 40) and D (key number 42) the same as the difference in frequency between D (key number 42) and E (key number 44)? Explain.

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