Conclusions

Since this has been an exploratory project, there are no conclusions per se, but rather indications for further work. Some possibilities are:

1.

Allow for a variable in a waveform to have zero change over the course of a sound.

2.

Allow for the amplitude changes to happen logarithmically rather than linearly.

3.

Allow for the shifting from one waveform type to another in medias res.

4.

Develop secondary control waveforms for the variables. This would begin to approach an elementary calculus of waveforms, in which the rates of change are themselves changing.

This approach of structural modification of waveforms in time generates a high degree of unpredictability with regard to the acoustic consequences. As a result, a composer of music has to develop new ways of specifying what she wants with regard to the output. Relatively simple input can generate wildly complex output behavior. This potential richness is, more than anything else, the most seductive aspect of this project for this composer.