History, examples, and audio file of fractals applied to music. Site maintained by Harlan J. Brothers of Brothers Technology, LLC.

Inspired by the music of Iannis Xenakis, these pieces were composed by G.W.F. Albrecht and are part of his site Fractal Encounters.

First page in a series which teach the concepts of music, rhythm, tune, and composition. Mathematical topics include the influence of Pythagorus and Fibonacci.

"The Pythagoreans believed that harmony consisted of numerical ratios. The concept that ratio between two numbers is an entity is essential in music theory." This is a discussion of octives, fifths, tones, and frequencies.

"All wave forms are really a composite of discrete, unseen or occulted vibratory forces acting in concert. Graphic shows four different complex waveforms as being the result of other discrete forces. These forces being defined by frequency and amplit