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A Fractal in Bach's Cello Suite
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An article by Ivars Peterson at the Mathematical Association of America on research appearing in the journal Fractals. http://www.maa.org/mathtourist/mathtourist_9_3_08.html
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Brothers Technology: Fractal Music
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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.
http://www.brotherstechnology.com/math/fractal-music.html
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Dmitry's Research
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A recursive approach to composition by Dmitry Kormann, including detailed examples of structural scaling. http://bowerbird-studios.com/aicaramba/page2.html
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Fractal Geometry of Music
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Kenneth and Andrew Hsu found evidence of melodic interval scaling in the works of Bach, Mozart, and a collection of Swiss folk songs. http://www.pubmedcentral.nih.gov/articlerender.fcgi?artid=53384
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Fractal Geometry Panorama: Voss Clarke
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Michael Frame's entry at the Yale Fractal Geometry site on the work of Richard Voss and John Clarke on 1/f scaling. http://classes.yale.edu/Fractals/Panorama/Music/VossClarke/VossClarke.html
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Multifractal Analyses of Music Sequences
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Article in "Physica D: Nonlinear Phenomena" on a multifractal technique for analysis of melodic lines. Abstract available, but subscription required for full text. http://www.sciencedirect.com/science?_ob=ArticleURL_udi=B6TVK-4KSVFV4-1_user=10_rdoc=1_fmt=_orig=search_sort=dview=c_acct=C000050221_version=1_urlVersion=0_userid=10md5=ae882d7846ec508e02013442a9a35cdc
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Music from Fractal Noise
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An introduction to 1/f scaling in music by Michael Bulmer. Includes demonstrations, exercises, and topics for classroom discussion. http://www.maths.uq.edu.au/~mrb/qamt/fractalmusic.pdf
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Zipf's Law in Music
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Bill Manaris uses stochastic techniques to computationally identify and emphasize aesthetic aspects of music. http://www.cs.cofc.edu/~manaris/ZipfMIDI/
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Category Editors : coltrane
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