8
QuizMultiple Choice

Wavelength and Frequency

Question 8 • Applications and Modeling

NoteCDEFGABFrequency(Hz)261.6293.7329.6349.2392.0440.0493.9The table above lists the frequencies of the C major key. Determine the ratio of the note D to middle C. Express the answer as a simple integer ratio. (Ratios will be approximate due to rounding.)

Answer
A
4 to 3
B
9 to 8
C
5 to 3
D
17 to 9

Explanation

Middle C has a frequency of 261.6 Hz, and D has a frequency of 293.7 Hz. Their ratio is 293.7 ÷ 261.6 ≈ 1.123, which is approximately 9 ÷ 8 = 1.125. So the ratio of D to middle C is 9 to 8, choice B.

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