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  • Niklasson, Gunnar A.,1953-Uppsala universitet,Fasta tillståndets fysik (author)

Non-Gaussian distributions of melodic intervals in music : The Lévy-stable approximation

  • Article/chapterEnglish2015

Publisher, publication year, extent ...

  • 2015-11-30
  • EDP Sciences,2015
  • electronicrdacarrier

Numbers

  • LIBRIS-ID:oai:DiVA.org:uu-267964
  • https://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-267964URI
  • https://doi.org/10.1209/0295-5075/112/40003DOI

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  • Language:English
  • Summary in:English

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  • Subject category:ref swepub-contenttype
  • Subject category:art swepub-publicationtype

Notes

  • The analysis of structural patterns in music is of interest in order to increase ourfundamental understanding of music, as well as for devising algorithms for computer-generatedmusic, so called algorithmic composition. Musical melodies can be analyzed in terms of a “music walk” between the pitches of successive tones in a notescript, in analogy with the “random walk”model commonly used in physics. We find that the distribution of melodic intervals between tones can be approximated with a L´evy-stable distribution. Since music also exibits self-affine scaling,we propose that the “music walk” should be modelled as a L´evy motion. We find that the L´evy motion model captures basic structural patterns in classical as well as in folk music.

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  • Niklasson, Maria H.,1995-Musikinstitutet Betel, Bromma Folkhögskola (author)
  • Uppsala universitetFasta tillståndets fysik (creator_code:org_t)

Related titles

  • In:Europhysics letters: EDP Sciences112:40295-50751286-4854

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