Music and mathematics have a long and complicated relationship, from the Platonists' Music of the Spheres, through Bach's geometrical symmetries, to Cage's stochastic compositions. Fractals and music is another aspect of this relationship, though as some argue, more far-reaching than most. Some contemporary composers explicitly use fractals to guide their compositions (some student projects have pursued this direction, with varying degrees of success), others find fractal aspects in the works of great baroque and classical composers.
Brothers |
Gardner |
Hsu and Hsu |
Ligeti |
1/f Music |
Schenker |
Voss and Clarke |
Wuorinen |