Question

Wavelength and Frequency

The table above lists the frequencies of the C major key.

Determine the ratio of the note B to middle C.
Express the answer as a simple integer ratio. (Ratios will be approximate due to rounding.)

a. 4 to 3
b. 9 to 8
c. 5 to 3
d. 17 to 9

Please select the best answer from the choices provided

Answer 1

D. 17 to 9

Explanation:

I calculated it logically

Answer 2

The frequency of B in the C major key can be found in the table, and it is 494 Hz.

The frequency of middle C is 262 Hz.

So the ratio of the frequency of B to middle C is:

494 Hz / 262 Hz ≈ 1.886

To express this as a simple integer ratio, we can divide both 494 and 262 by their greatest common factor, which is 2:

494 Hz / 2 = 247 Hz

262 Hz / 2 = 131 Hz

So the ratio of the frequency of B to middle C is:

247 Hz / 131 Hz = 19/10 ≈ 1.9

This ratio is closest to 2, but we need to express it as a simple integer ratio. The closest simple integer ratio is 19 to 10.

Therefore, the answer is (D) 17 to 9