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Subcategories:
Links:
- A Fractal in Bach's Cello Suite - An article by Ivars Peterson at the Mathematical Association of America on research appearing in the journal Fractals.
- Brothers Technology: Fractal Music - At the suggestion of Benoit Mandelbrot, Harlan Brothers undertook a rigorous mathmematical treatment of the subject of fractal music. Site includes research, publications, background information, and sound files.
- Fractal Geometry Panorama: Voss & Clarke - Michael Frame's entry at the Yale Fractal Geometry site on the work of Richard Voss and John Clarke on 1/f scaling.
- Fractal Geometry of Music - Kenneth and Andrew Hsu found evidence of melodic interval scaling in the works of Bach, Mozart, and a collection of Swiss folk songs.
- Fractal Music - A recursive approach to composition by Dmitry Kormann, including detailed examples of structural scaling.
- Multifractal Analyses of Music Sequences - Article in "Physica D: Nonlinear Phenomena" on a multifractal technique for analysis of melodic lines. Abstract available, but subscription required for full text.
- Music from Fractal Noise - An introduction to 1/f scaling in music by Michael Bulmer. Includes demonstrations, exercises, and topics for classroom discussion.
- Zipf's Law in Music - Bill Manaris uses stochastic techniques to computationally identify and emphasize aesthetic aspects of music.
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