COMPLEXITY, TIME AND MUSIC

Jean Pierre Boon ()
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Jean Pierre Boon: Physics Department CP 231, Université Libre de Bruxelles, 1050 - Bruxelles, Belgium

Advances in Complex Systems (ACS), 2010, vol. 13, issue 02, 155-164

Abstract: The concept of complexity as considered in terms of its algorithmic definition proposed by G. J. Chaitin and A. N. Kolmogorov is revisited for the dynamical complexity of music. When music pieces are cast in the form of time series of pitch variations, concepts of dynamical systems theory can be used to define new quantities such as thedimensionalityas a measure of theglobal temporal dynamicsof a music piece, and the Shanonentropyas an evaluation of itslocal dynamics. When these quantities are computed explicitly for sequences sampled in the music literature from the 18th to the 20th century, no indication is found of a systematic increase in complexity paralleling historically the evolution of classical western music, but the analysis suggests that the fractional nature of art might have an intrinsic value of more general significance.

Keywords: Algorithmic complexity; dynamical systems theory; western music (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1142/S0219525910002529

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