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Grove's dictionary of music and musicians

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462 SINGING SINGING<br />

Besides the tension <strong>of</strong> the membranes there<br />

is another physical condition which undergoes<br />

variation with every change <strong>of</strong> pitch, <strong>and</strong> that<br />

is the air-pressure exerted by the breath.<br />

From experiments (M'Kendriok, Schdfer's<br />

Physiology) it is found that the air-pressure<br />

varies in about the same ratio as the tension.<br />

Therefore, in a general plan <strong>of</strong> the vocal compass<br />

the middle note may be regarded as the<br />

product <strong>of</strong> both mean tension <strong>and</strong> mean airpressure.<br />

The tension is well known to vary<br />

in the ratio <strong>of</strong> the square <strong>of</strong> the vibrations, <strong>and</strong><br />

thus both the tension <strong>and</strong> air-pressure may be<br />

represented by the numbers 1, 4, 9, 16, 25,<br />

while the vibrations are as 1, 2, 3, 4, 5, in the<br />

diagram appended.<br />

Pressure <strong>and</strong><br />

Tension.<br />

Vibrations.

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