Well Tempered Fractal v3.0 for DOS. MIDI PIECE - 'Fractal Window I' This piece was created and copyrighted © 1996 by Forrest Fang using Robert Greenhouse's program, The Well-Tempered Fractal, which is available from the Fractal Music Project website. The program generates MIDI data from different types of fractals, according to certain parameters that the user sets. The one here is based on the Duffing attractor: Several different runs of the program were 'assembled' on a commercial sequencer, and their data were slightly randomized by Mr.
Fang according to whim. He then transposed the different voices into octaves that seemed to aurally complement each other. Despite all of the technical aspects involved in creating the data, the piece was generated intuitively. The piece is designed to play in the background for those browsers that support background sound. Forrest Fang studied electronic music and Western composition at Washington University at St. Back to Sprott's Fractal Gallery. Sprott's Fractal Gallery. Fractal Geometry.
Julia set. Mandelbrot set. Fractal. Figure 1a. The Mandelbrot set illustrates self-similarity. As the image is enlarged, the same pattern re-appears so that it is virtually impossible to determine the scale being examined. Figure 1b. The same fractal magnified six times. Figure 1c. Figure 1d. Fractals are distinguished from regular geometric figures by their fractal dimensional scaling. As mathematical equations, fractals are usually nowhere differentiable.[2][5][8] An infinite fractal curve can be conceived of as winding through space differently from an ordinary line, still being a 1-dimensional line yet having a fractal dimension indicating it also resembles a surface.[7]:48[2]:15 There is some disagreement amongst authorities about how the concept of a fractal should be formally defined.
Introduction[edit] The word "fractal" often has different connotations for laypeople than mathematicians, where the layperson is more likely to be familiar with fractal art than a mathematical conception. History[edit] Figure 2.