If you don't know about fractals there's some cool videos on youtube you should watch, but basically they are "self similar" patterns found everywhere in nature from plants to cell phone chips. I learned about fractals a while back and wondered about their possible application in music. I had my own ideas, but here's how some scientists in the late 90's went about it. They used a method involving L-systems, which is explained on their website much better than I could break down for you. They produced many different midi tracks using methods such as this, which one might say are more interesting than enjoyable, but I think there's definitely artistic potential here and it depends on the artist using these methods and how they use them.
Fractal Research (Hazard, Kimport, Johnson)-Erie chords by howlingcaliper
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