In music, a chromatic scale divides an octave into 12 equally-spaced pitches. An…
MATHEMATICS · Single correct · AP · AP Precalculus · Exponential and Logarithmic Functions · Exponential and Logarithmic Functions
Problem
In music, a chromatic scale divides an octave into 12 equally-spaced pitches. An octave contains 1200 cents (a unit of measure for musical intervals), and each pitch in the chromatic scale is 100 cents apart. The relationship between cents and note frequency is given by the formula:
c2−c1=1200(log2f1f2)
How many cents separate two notes, where one note is double the frequency of the other note?
(A) 2
(B) 100
(C) 200
(D) 1200