Acoustics & Sound For Musicians - Online Book

The Theory Of Sound Which Constitutes The Physical Basis Of The Art Of Music.

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M
CONSTRUCTION OF WAVEFORM. [I. § 12.
ences of form might come into consideration. The reader should construct for himself similar figures with other forms, and so convince himself more thoroughly that to every distinct form of wave there corresponds a special mode of particle-vibration.
12. Conversely each distinct mode of particle-vibration gives rise to a special form of wave. We will show this by actually constructing the form of wave produced by a given mode of particle-vibration when the mode in which a particle moves is given.
Suppose that each particle makes one complete vibration per second about its position of original rest in the initial line and that the law of vibration is roughly indicated in Fig. 11.
AB is the path described by a particle; O its po­sition when in the initial line; 1, 2, 3, 4, 5, 6...12, 13... 16 its positions after 16 equal intervals of time
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E-Book - An Annotated Compendium of Old Time American Songs by James Alverson III