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MUSIC SYNTHESIS PRINGPLES 9<br />

VERY<br />

SMALL<br />

MIRROR<br />

VERY<br />

FINE<br />

WIRE<br />

/<br />

'~~:rL<br />

ROO<br />

'-.... JEWELED<br />

BEARING<br />

MOVING<br />

PHOTOGRAPHIC<br />

FILM OR<br />

PAPER<br />

t<br />

\<br />

INCIDENT<br />

SOUND<br />

Fig. 1-1. Mechanical soundAwaveform-tracing apparatus<br />

Steady, unchanging sounds fall into two classes, pitched and unpitched.<br />

The two classes are not completely disjointed, however, since there<br />

are some sounds that possess characteristics <strong>of</strong> both groups. As will be shown<br />

later, all steady sounds can be described by a number <strong>of</strong> parameters that are<br />

also steady. In all cases, these parameters are scalar quantities, that is, a<br />

simple number with corresponding physical units. Changing sounds (all<br />

sounds change to some degree--otherwise they would have no beginning or<br />

end) are similar to steady sounds except that the parameters that describe<br />

them change with time.<br />

One way to visualize a sound is to show its waveform or the manner in<br />

which air pressure changes with time. Before the discovery <strong>of</strong> electronics,<br />

mechanical instruments similar to the one shown schematically in Fig. 1-1<br />

were used. Movement <strong>of</strong> the air caused by sound vibrations would be picked<br />

up by a diaphragm and cause a tiny mirror to rotate in synchronism with the<br />

vibration. A light beam reflected from the mirror onto moving photographic<br />

film would make a visibile waveform trace. The distance from the mirror to<br />

the film acted as a long but massless lever arm to effectively amplify the<br />

vibrations.<br />

Of course, sound waveforms may now be photographed on the display<br />

screen <strong>of</strong>an oscilloscope. In order to do this, the sound is first directed into a

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