Acoustics & Sound For Musicians - Online Book

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

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110               PITCH OF STRING SOUND             [V. § 55.
to strengthen the fundamental-tone. The material of the string itself produces its effect chiefly by limiting the number of partial-tones. Its stiffness resists division into very short segments, and this implies, for every string, a fixed limit beyond which further subdivision ceases and where, therefore, the series of overtones is cut off. Hence very thin mobile strings are favourable, thick weighty strings un­favourable, to the production of a large number of partial-tones.
55. Having examined what determines the quality of the sound of a vibrating string, we have next to enquire on what its pitch depends. This term is indeed, strictly speaking, inappropriate to a compo­site sound containing a series of different tones each having its own vibration-number and independent position in the musical scale. If, however, we use the phrase 'pitch of a sound' as equivalent to 'pitch of the fundamental-tone of the sound/ we shall avoid any confusion arising from this circumstance. The pitch of a string-sound depends of course on the rate at which the string is vibrating. We have seen that when the material, thickness and tension of a string remain the same, its rate of vibration varies inversely as the length of the string. Accordingly, the vibration-number of a string varies inversely
as the length of the string It follows hence that the
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