1
QuizMultiple Choice

Wavelength and Frequency

Question 1 • 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 A 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

The table gives A as 440.0 Hz and middle C as 261.6 Hz. Dividing gives 440.0 ÷ 261.6 ≈ 1.68, which is closest to the simple ratio 5 ÷ 3 ≈ 1.67. So the ratio of A to middle C is 5 to 3.

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