Scalings of Pitches in Music

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We investigate correlations among pitches in several songs and pieces of piano music by mapping them to one-dimensional walks. Two kinds of correlations are studied, one is related to the real values of frequencies while they are treated only as different symbols for another. Long-range power law behavior is found in both kinds. The first is more meaningful. The structure of music, such as beat, measure and stanza, are reflected in the change of scaling exponents. Some interesting features are observed. Our results demonstrate the viewpoint that the fundamental principle of music is the balance between repetition and contrast.
9 pages, 4 figures are available by conventional mail

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Adaptation and Self-Organizing Systems

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http://salesiana.dossiersoluciones.com/handle/123456789/149716

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/adap-org/9509001
 http://arxiv.org/abs/adap-org/9509001

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arXiv