AnswersApplications and ModelingTopic TestQuestion 48
48
QuizMultiple Choice

Topic Test

Question 48 • Applications and Modeling

NoteCDEFGABFrequency(Hz)261.6293.7329.6349.2392.0440.0493.9The table above lists the frequencies of the C major key. Determine the ratio of the notes to middle C. Express the answers as a simple integer ratio. (Ratios will be approximate due to rounding.) The smaller the numbers in the ratio, the greater the consonance. Decide which of the notes when played with middle C would have the greatest dissonance.

Answer
A
G and C
B
B and C
C
D and C
D
E and C

Explanation

Compare each note’s frequency with middle C, 261.6 Hz. The approximate ratios are G:C = 392.0:261.6 ≈ 3:2, B:C = 493.9:261.6 ≈ 15:8, D:C ≈ 9:8, and E:C ≈ 5:4. The B-to-C ratio has the largest integers, so it is the least consonant and has the greatest dissonance. The correct choice is B and C.

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