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The Irrelative System in Tonal Harmony

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Mathematics and Computation in Music (MCM 2007)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 37))

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Abstract

This paper is addressed to music theorists and musicologists specialising in harmony topics. It presents a computational approach to the investigation of tonal structure in musical pieces. With the use of this analytical system, the quantitative prevalence of chords classified by ranges of a given key in a musical piece can be determined.

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References

  • Chew, E.: The spiral array: An algorithm for determining key boundaries. In: Anagnostopoulou, C., Ferrand, M., Smaill, A. (eds.) ICMAI 2002. LNCS, vol. 2445, p. 18. Springer, Heidelberg (2002)

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Author information

Authors and Affiliations

  1. Institute of Art, Polish Academy of Sciences in Warsaw, Warsaw, Poland

    Miroslaw Majchrzak

Authors
  1. Miroslaw Majchrzak
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Editor information

Editors and Affiliations

  1. Abteilung III Akustik und Musiktechnologie, Staatliches Institut für Musikforschung Preußischer Kulturbesitz, Tiergartenstr. 1, 10785, Berlin, Germany

    Timour Klouche

  2. Departament de Teoria i Composicio i Direccio, Escola Superior de Musica de Catalunya, C. Padilla 155-Edifici L’Auditori, 08013, Barcelona, Spain

    Thomas Noll

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© 2009 Springer-Verlag Berlin Heidelberg

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Majchrzak, M. (2009). The Irrelative System in Tonal Harmony. In: Klouche, T., Noll, T. (eds) Mathematics and Computation in Music. MCM 2007. Communications in Computer and Information Science, vol 37. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04579-0_26

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  • DOI: https://doi.org/10.1007/978-3-642-04579-0_26

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-04578-3

  • Online ISBN: 978-3-642-04579-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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