FRACTAL GEOMETRY OF MUSIC

被引：89

作者：

HSU, KJ ^{[1
]}

HSU, AJ ^{[1
]}

机构：

[1] KONSERVATORIUM & MUSIKHSCH,ZURICH,SWITZERLAND

来源：

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA | 1990年 / 87卷 / 03期

关键词：

Physics of melody;

D O I：

10.1073/pnas.87.3.938

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

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.

引用

页码：938 / 941

页数：4