Analysis of temporal fluctuations in Bach’s sinfonias

Luciano Telesca and Michele Lovallo

Physica A: Statistical Mechanics and its Applications, 2012, vol. 391, issue 11, 3247-3256

Abstract: The correlation structures in 15 Bach’s sinfonias were analyzed. Each sinfonia is characterized by the superposition of three voices. Each voice is a sequence of pitches. Each voice was transformed in a time series, in which the sampling time was given by the smallest pitch duration in that voice. The scaling properties of the three voices of each sinfonia was quantified by means of the estimate of the scaling exponent, performed using the power spectral density (PSD) and the detrended fluctuation analysis (DFA). The results show that the voice time series are persistent. The DFA was applied not only to any single voice time series, but also to couples (2-DFA) of voices and to the triple (3-DFA) of voices. It was found that the first voice of each sinfonia modulates the scaling behavior of the whole sinfonia.

Keywords: Interdisciplinary applications; Music; Spectral density; Detrended fluctuation analysis (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:391:y:2012:i:11:p:3247-3256

DOI: 10.1016/j.physa.2012.01.036

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