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34 MUSICAL ApPLICATIONS OF MICROPROCESSORS<br />

moment a spectral envelope like the one that was shown in Fig. I-8e.<br />

Disregarding the exact shape <strong>of</strong> the bell-shaped curve, it should be obvious<br />

that three parameters can adequately describe the spectrum. First, there is<br />

the width and height <strong>of</strong> the peak on the curve, and finally the frequency at<br />

which the peak is highest. In a typical application, the width and height <strong>of</strong><br />

the curve are related. Also, since only the relative height <strong>of</strong> one portion <strong>of</strong> the<br />

curve with respect to another is important, the absolute height parameter is<br />

usually eliminated. This leaves just the width and center frequency as variables.<br />

Note that for definitely pitched, periodic sound waveforms the spectrum<br />

curve being considered is really the envelope <strong>of</strong> the individual harmonic<br />

amplitudes.<br />

It turns out that manipulation <strong>of</strong> these two variables is sufficient to<br />

create very interesting dynamic spectrum changes. In fact, if the width<br />

variable is set to a reasonable constant value such as Y3 octave at the 6-dB<br />

down (with respect to the peak) points, then varying just the center<br />

frequency is almost as interesting. This in fact is the principle behind the<br />

"wah-wah" sound effect for guitars that became popular years ago.<br />

Other methods for changing or distorting the spectrum under the<br />

influence <strong>of</strong> a small number <strong>of</strong> parameters exist and will be covered in more<br />

detail later.<br />

Simultaneous Sounds<br />

The preceding should serve as a brief introduction to the fundamental<br />

parameters <strong>of</strong> a single, isolated sound. Most interesting music, however,<br />

contains numerous simultaneous sounds. One common use for simultaneous<br />

sounds is chords and harmony. Another application is rhythm accompaniment.<br />

Sometimes quantities <strong>of</strong> sound are used simply as a kind <strong>of</strong> acoustical<br />

background for a simpler hut more prominent foreground. The physics and<br />

fundamental parameters <strong>of</strong> each component sound remain unaltered, however.<br />

The real frontier in synthesis, after adequate control <strong>of</strong> the basic.<br />

parameters <strong>of</strong> sound is accomplished, is applying this degree <strong>of</strong> cOfitrol to<br />

numerous sounds, all simultaneously, and all under the direction <strong>of</strong> a single<br />

composer/performer. Extensive use <strong>of</strong>microprocessors in synthesis will be the<br />

final stride toward reaching this goal.<br />

History <strong>of</strong> Electronic Sound Synthesis<br />

Sound and music synthesis by electronic means has a long and interesting<br />

history. Although only the most significant milestones can he briefly<br />

described here, the effort is certainly worthwhile, since the ongoing evolution<br />

<strong>of</strong> synthesis techniques and equipment is far from complete. Without<br />

exception, significant developments in sound synthesis closely followed significant<br />

developments in electronic and computer technology. Often, how-

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