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
收藏
页码：938 / 941
页数：4
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