Research>Genre Study>Uncategorized Music>Mandelbrot Music


This page provides information about Mandelbrot Music.



Mandelbrot's idea

Mandelbrot is the name of French
scholar who used the word "fractal."Fractal is a word that is used to describe characteristics of figures. When a part of Fractal figure is magnified, it appears as the
similar figure of original one. Wnen that part of figure is magnified, it also resembles original figure. Although Mandelbrot figure seems very complex, Mandelbrot set was defined by a simple equation.
Zn+1 = Zn*Zn+a (Z0 = 0)
Z and 'a' are complex numbers, and the set of 'a' where Z(n) does not diverge infinity is
called "Mandelbrot set"
Mr. Yo. Kubota developed a software tool that generates music tunes from
Mandelbrot set. His web site provides the tool and source code.




Links to related topics

Mandelbrot
Theater

I
made a page that displays a Mandlbrot figure
with Mandelbrot music. I modified free source
codes that is provided at web site,
"Fractal for Java Applet."



