Provide an appropriate response.
-Starting at middle D with a frequency of 292 cps, find the frequency of the note a an octave and a fourth above middle D.
A)801
B)779
C)761
D)774

Question

Quizplus · Accepted Answer

To find the frequency of the note an octave and a fourth above middle D, we first double the frequency for the octave (292 cps * 2 = 584 cps). A fourth above D is G, which is 5 semitones above D. The frequency ratio for a semitone is the twelfth root of 2 (approximately 1.059463). Therefore, to find the frequency a fourth above, we multiply 584 by 1.059463 raised to the power of 5 (584 * (1.059463^5) ≈ 779). Hence, the correct answer is 779 cps.

Provide an Appropriate Response