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Information Flow and Repetition in Music

Information Flow and Repetition in Music A corpus analysis of common-practice themes shows that, when an intervallic pattern is repeated with one changed interval, the changed interval tends to be larger in the second instance of the pattern than in the first; the analysis also shows that the second instance of an intervallic pattern tends to contain more chromaticism than the first. An explanation is offered for these phenomena, using the theory of uniform information density. This theory states that communication is optimal when the density of information (the negative log of probability) maintains a consistent, moderate level. The repetition of a pattern of intervals is (in some circumstances, at least) highly probable; in some cases, the information density of such repetitions may be undesirably low. The composer can balance this low information by injecting a high-information (i.e., low-probability) element into the repetition such as a large interval or a chromatic note. A perceptual model is proposed, showing how the probabilities of intervals, scale degrees, and repetition might be calculated and combined. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Music Theory Duke University Press

Information Flow and Repetition in Music

Journal of Music Theory , Volume 58 (2) – Sep 21, 2014

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Publisher
Duke University Press
Copyright
Copyright © Duke Univ Press
ISSN
0022-2909
eISSN
1941-7497
DOI
10.1215/00222909-2781759
Publisher site
See Article on Publisher Site

Abstract

A corpus analysis of common-practice themes shows that, when an intervallic pattern is repeated with one changed interval, the changed interval tends to be larger in the second instance of the pattern than in the first; the analysis also shows that the second instance of an intervallic pattern tends to contain more chromaticism than the first. An explanation is offered for these phenomena, using the theory of uniform information density. This theory states that communication is optimal when the density of information (the negative log of probability) maintains a consistent, moderate level. The repetition of a pattern of intervals is (in some circumstances, at least) highly probable; in some cases, the information density of such repetitions may be undesirably low. The composer can balance this low information by injecting a high-information (i.e., low-probability) element into the repetition such as a large interval or a chromatic note. A perceptual model is proposed, showing how the probabilities of intervals, scale degrees, and repetition might be calculated and combined.

Journal

Journal of Music TheoryDuke University Press

Published: Sep 21, 2014

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