Fractal music is a result of a recursive process where an algorithm is applied multiple times to process its previous output. In wider perspective all musical forms, both in micro and macro level can be modelled with this process. Fractals provide extremely interesting musical results, and the field is becoming one of the the most exciting fields of new music research. Fractal music enthusiasts are encouraged to publish their works here. Links to physics, mathematics, algorithms and artificial intelligence, and further ideas concerning these pages are also welcomed.
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Composition Modelling Tools: Symbolic Composer
The main algorithm used is based on the simple iteration equation x(n+1)=x(n)*b*(1-x(n)) which is also described in the paper by Gary Nelson. The examples are created by using one or more of these iteration equations, mapping the output values x(n) to different musical parameters (pitch, duration, etc.) and generating appropriate MIDI events which are then used to drive MIDI instruments.
The same files are available in a G.721 compresssed form.
Please get these files if your soundplayer supports this format.
Claus-Dieter Schulz Computer Center Univ. of Stuttgart (RUS) Dept. Communication Systems 70550 Stuttgart GermanyEmail: schulz@rus.uni-stuttgart.de /C.-D.