Acoustics & Sound For Musicians - Online Book

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

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70 CALCULATION OF VIBRATION-NUMBERS. [II. § 36.
In order to extend the scale an Octave upwards we have only to multiply each vibration-number by 2. A second multiplication by 2 will raise it by another Octave, and so on. Conversely, in order to pass to the Octave below we divide each vibration-number by 2. To descend a second Octave we repeat the operation, and so on.
Thus the pitch of the tonic absolutely fixes the pitch of every note in the scale of which it is the starting-point.
Before proceeding to investigate the mechanical equivalent of the third element [§ 24] of a musical sound, its quality, we will briefly examine, in the next chapter, a subject possessing an important bear­ing on that enquiry.
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