AnswersApplications and ModelingWavelength and FrequencyQuestion 3
3
QuizMultiple Choice

Wavelength and Frequency

Question 3 • Applications and Modeling

When an octave is divided into twelve equal steps, a chromatic scale results. The ratios between sucessive notes is constant. CC#DD#EFF#GG#AA#BC261.6277.2293.6 329.6349.2370.0392.0 440466.1493.8523.2Determine the missing frequency for D# using the ratio 1.0595. Round to the nearest tenth.

Answer
A
311.0
B
415.3
C
311.1
D
625.2

Explanation

D# is one step above D, so multiply D’s frequency, 293.6 Hz, by the successive-note ratio: 293.6 × 1.0595 = 311.0692 Hz. Rounded to the nearest tenth, this is 311.1 Hz, which is choice C.

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