Acoustics & Sound For Musicians - Online Book
The Theory Of Sound Which Constitutes The Physical Basis Of The Art Of Music.
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V. § 59.] VIBRATION-FORMS FOR A STOPPED PIPE. 123
"Fig. 39. |
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In (A) we have half a segment; in (B) a segment and a half; in (C) two segments and a half; in (D) three segments and a half. The numbers of segments into which the air-column is divided in these four cases are, therefore, proportional to
 or to the whole numbers 1, 3, 5, 7.
Now by § 53 it appears that the rate of vibration in any form varies as the number of segments which it contains. The vibration-numbers of the sounds produced in the present instance are, therefore, proportional to 1, 3, 5, 7, respectively, i.e. we get the first four odd partial-tones of a sound of which (A) |
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