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Journal List > Proc Natl Acad Sci U S A > v.87(3); Feb 1990

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Proc Natl Acad Sci U S A. 1990 February; 87(3): 938–941.
PMCID: PMC53384
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Fractal geometry of music.
K J Hsü and A J Hsü
Eidgenössische Technische Hochschule, Zurich, Switzerland.
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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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Selected References
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  • Dyson Freeman. Characterizing Irregularity. Science. 1978 May 12;200(4342):677–678. [PubMed]
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