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.
- Publication:
-
Proceedings of the National Academy of Science
- Pub Date:
- February 1990
- DOI:
- 10.1073/pnas.87.3.938
- Bibcode:
- 1990PNAS...87..938H