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13.4 Math and Music

Frequency and pitch, half steps, whole steps, and octaves, and the doubling of frequency that separates one octave from the next.

Contemporary Mathematics, 13.4 Math and Music

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5 exercises

13.4 Exercise 1

Select the most representative decibel value for each of the following sounds:

  1. car wash: 25 dB, 55 dB, 85 dB
  2. vacuum cleaner: 15 dB, 70 dB, 90 dB
  3. ship’s engine room: 30 dB, 65 dB, 95 dB
  4. approaching subway car: 70 dB, 100 dB, 120 dB

2.5

13.4 Exercise 3

Name which keys are one half-step up and one half-step down from the following:

  1. D
  2. E
  3. G#

2.5

13.4 Exercise 5

Name which keys are one whole step up and one whole step down from the following:

  1. F#
  2. E
  3. A♭

2.5

13.4 Exercise 7

List the 12 notes forming an octave, beginning with the note C.

2.5

13.4 Exercise 9

Given that the frequency of C4 is 262 Hz, find the approximate frequency of C6.

2.5
13.3 Math and Medicine13.5 Math and Sports

Adapted from Contemporary Mathematics © 2023 Rice University. Licensed under CC BY 4.0. Source: Contemporary Mathematics. Imported at revision fa7c1a1.

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