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Proc Natl Acad Sci U S A. 1990 Feb 1;87(3):938-41.

Fractal geometry of music.

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1
Eidgenössische Technische Hochschule, Zurich, Switzerland.

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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