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

An Introduction to Physical Science
14th Edition
ISBN:9781305079137
Author:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres
Publisher:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres
Chapter10: Nuclear Physics
Section: Chapter Questions
Problem 35SA
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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.

Would a G-flat (frequency 370 Hz) and a C played together be consonant or dissonant?
A. Consonant         B. Dissonant

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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