Provide an appropriate response.
-The circle of fifths is generated by starting at a particular musical note and stepping upward by intervals of a fifth. By what factor does the frequency of a tone increase if it is raised by three fifths?
A)22.35
B)1.22
C)6.05
D)3.36

Question

Quizplus · Accepted Answer

Raising a tone by a fifth increases its frequency by a factor of $2^{7/12}$, as there are 12 semitones in an octave and a fifth spans 7 of those. Raising by three fifths multiplies the frequency by $(2^{7/12})^3 = 2^{21/12}$, which simplifies to approximately 3.36.

Provide an Appropriate Response