Acoustics & Sound For Musicians - Online Book

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

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118 'STOPPED1 AND 'OPEN' OROGAN PIPES. [V. §58.
manent rest, distributed along the air-column. The intervening portions of air vibrate longitudinally at the same rate as the corresponding ventral segments of Fig. 35. We have here, as in the case of the sounding wire, all the conditions for the production of a musical note, of pitch correspond­ing to the rapidity of vibration obtained. It only remains to show that, in the case of every organ-pipe, two sets of equal waves traverse in opposite directions the air-column which it contains.
Organ pipes are of two kinds, called respectively ' stopped' and ' open/—terms which, however, apply only to one end of the pipe ; the other is in both kinds open.
To begin with first variety :
B                  D
58. Let ABy Fig. 37, be the closed end of a stopped pipe, and let a series of pulses of condensa­tion and rarefaction be passing along the air within it in the direction shown by the arrow. First let a pulse of condensation, CABD, have just reached AB. By supposition, the air in CA BD is denser, and there­fore at a higher pressure, than that behind it. It
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