Fractal geometry of music

Proc Natl Acad Sci U S A. 1990 Feb 1;87(3):938-41. doi: 10.1073/pnas.87.3.938.


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.