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Proc Natl Acad Sci U S A. Feb 1990; 87(3): 938–941.
PMCID: PMC53384

Fractal geometry of music.

Abstract

Music critics have compared Bach's music to the precision of mathematics. What "mathematics" and what "precision" are the questions for a curious scientist. The purpose of this short note is to suggest that the mathematics is, at least in part, Mandelbrot's fractal geometry and the precision is the deviation from a log-log linear plot.

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  • Dyson F. Characterizing irregularity. Science. 1978 May 12;200(4342):677–678. [PubMed]

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    Proceedings of the National Academy of Sciences of the United States of America. Feb 1990; 87(3)938
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