On 11 Nov 02, at 14:34, Morgan L. Owens wrote:
David Jones wrote:
I'm sorry, not iterations, zooming. I'm envisioning a fractal music with zoom levels. You zoom in on a single note, and it is actually a fractal cluster of notes around the higher level note's pitch, and which would sound within the amount of time of the higher note. You can zoom in on individual notes of a cluster, too. The practical limit then becomes how short the note can be and still be heard.
So in other words, a fractal waveform. These have been constructed (and played), and while the ones to date haven't have much musical merit, they do have some interesting properties. Eg., it might sound exactly the same played at half speed as at full speed. The simplest of those would probably just be a superposition of continuous tones at, say, 1000, 2000, 4000, 8000, 16000, ... Hz - up to the limit of your reproduction apparatus.
Ah, so it's been done that way. Hmmm, will have to think on this some more. David gnome@hawaii.rr.com