Bauhaus-Universität Weimar

Titel:
Sound and Music. A Non-Mathematical Treatise on the Physical Constitution of Musical Sounds and Harmony
Person:
Taylor, Sedley
PURL:
https://digitalesammlungen.uni-weimar.de/viewer/image/lit38360/147/
CHAPTER VI. 
ON THE CONNECTION BETWEEN QUALITY AND MODE OP 
VIBRATION. 
70. It was stated on p. 71 that, when a pendu¬ 
lum performs oscillations whose extent is small com¬ 
pared to the length of the pendulum itself, the 
period of a vibration is the same for any extent of 
swing ivithin this limit. We will apply this fact to 
prove that the prongs of a tuning-fork vibrate in 
the same mode (§ 11) as does a pendulum. 
When a sustained simple tone is being trans¬ 
mitted by the air, we may regard it as originated 
by a tuning-fork of appropriate pitch and size. But 
we know experimentally that, by suitable bowing, 
we may elicit from such a fork tones of various de¬ 
grees of intensity, though having all the same pitch. 
Here, therefore, the extent of vibration varies, while 
the period remains constant, which is the pendulum- 
law. Accordingly the vibrations of a tuning-fork 
are identical, in mode, with those of a pendulum. 
The same thing will hold good of the aerial vibra¬ 
tions to which those of a fork give rise. Hence, in 
general, a simple tone is due to vibrations executed 
according to the pendulum-law.
        

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