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. § 61.] VIBRATION-FORMS FOR AN OPEN PIPE. 125
of the pipe make up one whole segment. The numbers of segments into which the air-column is divided are, therefore, in (A), 1 ; in (B), 2 ; in (C), 3 ; in (D), 4. The same law would obviously hold for higher subdivisions. Hence, in the case of an open pipe, the rates of all the possible modes of segmental |
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vibration are as the numbers 1, 2, 3, 4, 5, &c. The notes obtainable from such a pipe are, therefore, the complete series of partial-tones belonging to one and the same clang.
61. If the slowest forms of vibration, shown at (A) in Figs. 39 and 40, are compared with each other, it will be at once seen that the vibrating segment of Fig. 39 is exactly twice as long as that of Fig. 40. |
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