1568 1572 1310 1176 - 1048 784 - -786 524 392 262 Harmonics of G Harmonics of C FIGURE P16.72 (ZH) Áouanbau

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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You know that certain musical notes sound good together— harmonious—whereas others do not. This harmony is related to the various harmonics of the notes. The musical notes C (262 Hz) and G (392 Hz) make a pleasant
sound when played together; we call this consonance. As shown, the harmonics of the two notes are either far from each other or very close to each other (within a few Hz). This is the key to consonance: harmonics that are spaced either far apart or very close. The close harmonics have a beat frequency of a few Hz that is perceived as pleasant. If the harmonics of
two notes are close but not too close, the rather high beat frequency
between the two is quite unpleasant. This is what we hear as dissonance.
Exactly how much a difference is maximally dissonant is a matter of opinion, but harmonic separations of 30 or 40 Hz seem to be quite unpleasant for most people.

An organ pipe open at both ends is tuned so that its fundamental frequency is a G. How long is the pipe?
A. 43 cm     B. 87 cm     C. 130 cm     D. 173 cm

1568
1572
1310
1176
- 1048
784 -
-786
524
392
262
Harmonics
of G
Harmonics
of C
FIGURE P16.72
(ZH) Áouanbau
Transcribed Image Text:1568 1572 1310 1176 - 1048 784 - -786 524 392 262 Harmonics of G Harmonics of C FIGURE P16.72 (ZH) Áouanbau
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