期刊
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
卷 387, 期 22, 页码 5552-5560出版社
ELSEVIER
DOI: 10.1016/j.physa.2008.05.031
关键词
ranking distributions; power law distribution; multiplicative processes; music
资金
- DGAPA UNAM [IN108502]
- CONACyT [48783-F, 50368]
Although power laws have been used to fit rank distributions in many different contexts, they usually fail at the tails. Languages as sequences of symbols have been a popular subject for ranking distributions, and for this purpose, music can be treated as such. Here we show that more than 1800 musical compositions are very well fitted by the first kind two parameter beta distribution, which arises in the ranking of multiplicative stochastic processes. The parameters a and b are obtained for classical, jazz and rock music, revealing interesting features. Specially, we have obtained a clear trend in the values of the parameters for major and minor tonal modes. Finally, we discuss the distribution of notes for each octave and its connection with the ranking of the notes. (C) 2008 Elsevier B.V. All rights reserved.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据