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DIRECT COMPUTER SYNTHESIS METHODS 103<br />

The multitrack recorder would seem to be a complete solution to the<br />

simultaneous sound problem with the only disadvantage being that the<br />

synthesis process is taken out <strong>of</strong> real time. However, this is not the case. As a<br />

simple example, consider a rapid run (fast series <strong>of</strong> notes) on an instrument<br />

with the amplitude envelope characteristics <strong>of</strong> a piano. Assuming initial<br />

silence, the envelope <strong>of</strong> the first note struck would rise rapidly and then fall<br />

slowly. Shortly afterward, the second note would be struck, but, since the<br />

first note has not yet died away, there are now two simultaneous sounds. The<br />

third note would increase the number to three and so forth. At some point,<br />

the first note would be so faint that it could be ignored, but it is not clear<br />

exactly how many simultaneous sounds were built up, although it is certainly<br />

not more than the number <strong>of</strong> notes in the run.<br />

A similar run on a synthesizer keyboard would create a very different<br />

result even if the timbre and envelope <strong>of</strong> a single note was identical to the<br />

previous instrument. In this case, the first note struck would start an envelope<br />

identical to the previous case, but, when the second note was struck,<br />

the pitch <strong>of</strong> the tone would immediately be updated to the second note's<br />

frequency and a new envelope segment would be started. Thus, simultaneous<br />

sounds are not created, which should be obvious since only one tone oscillator<br />

was involved.<br />

Theoretically, this could be corrected with the multitrack tape recorder<br />

by recording each note <strong>of</strong> the run on a separate track, although such a<br />

procedure would not really be practical. The problem could also be partially<br />

solved by using a digital scanning polyphonic keyboard and enough modules<br />

to create up to, say, eight simultaneous iridependenttones. Even if in the<br />

ideal case there were more than eight simultaneous sounds, the effect <strong>of</strong><br />

abruptly terminating the first when seven others are still sounding would<br />

probably go unnoticed. The important point is that such a need for large<br />

numbers <strong>of</strong> simultaneous sounds may occur only rarely in a composition.<br />

Either all <strong>of</strong> the equipment or effort needed for the worst case must be<br />

available or the problem must be ignored.<br />

In direct computer synthesis, a virtually unlimited number <strong>of</strong> simultaneous<br />

sounds may be built up when circumstances dictate. The cost <strong>of</strong> this<br />

capability is borne only when the event occurs. During other times, when the<br />

sound is simpler, the ability to handle large numbers <strong>of</strong> simultaneous sounds<br />

is free! This applies to other capabilities as well. The effect is like being able<br />

to rent additional synthesizer modules by the minute from a company with<br />

an essentially infinite inventory.<br />

Programmability<br />

The difficulty in controlling a number <strong>of</strong> simultaneous sounds to a<br />

great degree by a single performer is also overcome in direct computer<br />

synthesis systems. The control problem is actually one <strong>of</strong> time: during realtime<br />

performance, there is simply not enough time available for the per-

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