Published December 1, 2016 | Version v1
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Contour Algorithms Review

Authors/Creators

  • 1. Universidade Federal da Bahia

Description

In this paper, we present some problems of two Music Contour Relations Theory operations algorithms: the Refinement of Contour Reduction Algorithm, which was developed by Rob Schultz, and the Equivalence Contour Class Prime Form algorithm, which was developed by Elizabeth Marvin and Paul Laprade. We also propose two alternative algorithms to solve these problems.

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Sampaio, Kroger - 2016 - Contour Algorithms Review.pdf

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References

  • BEARD, R. D. (2003). Contour modeling by multiple linear regression of the nineteen piano sonatas by Mozart. Phd Dissertation, Florida State University.
  • BOR, M. (2009). Contour reduction algorithms: a theory of pitch and duration hierarchies for post-tonal music. Phd Dissertation, University of British Columbia.
  • CLIFFORD, R. J. (1995). Contour as a structural element in selected pre-serial works by Anton Webern. Phd Dissertation, University of Wisconsin-Madison.
  • FRIEDMANN, M. L. (1985). A Methodology for the Discussion of Contour: Its Application to Schoenberg's Music. Journal of Music Theory, vol. 29, no. 2: pp. 223-248.
  • LEWIN, D. (2007). Generalized musical intervals and transformations. Oxford University Press.
  • MARVIN, E. W. (1988). A generalized theory of musical contour: its application to melodic and rhythmic analysis of non-tonal music and its perceptual and pedagogical implications. Phd Dissertation, University of Rochester.
  • MARVIN, E. W., and LAPRADE, P. A. (1987). Relating musical contours: Extensions of a Theory for Contour. Journal of Music Theory, vol. 31, no. 2: pp. 225-267.
  • MORAES, T., and SAMPAIO, M. S. (2015). Relações de contornos entre elementos sonoros e visuais do jogo Super Mario Bros. In: Proceedings of SBGame 2015, pp. 714-717.
  • MORRIS, R. D. (1987). Composition with pitch-classes: A theory of compositional design. Yale University Press.
  • MORRIS, R. D. (1993). New Directions in the Theory and Analysis of Musical Contour. Music Theory Spectrum, vol. 15, no. 2: pp. 205-228.
  • SAMPAIO, M. S. (2012). A Teoria de Relações de Contornos Musicais: inconsistências, soluções e ferramentas. Tese de Doutorado, Universidade Federal da Bahia.
  • SCHULTZ, R. D. (2008). Melodic Contour and Nonretrogradable Structure in the Birdsong of Olivier Messiaen. Music Theory Spectrum, vol. 30, no. 1: pp. 89-137.
  • SCHULTZ, R. D. (2009). A diachronic-transformational theory of musical contour relations. Phd Dissertation, University of Washington.