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Motivic Topologies: Mathematical and Computational Modelling in Music Analysis

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 6726))

Abstract

This paper discusses a mathematical model together with its computational realization, for the motivic analysis of a piece of music. Relations between the mathematical model (motivic topologies), computational counter-part (OM-Melos), and music analysis are presented in the light of general concepts of computational music analysis, stressing the importance of neutrality and scientific rigour in the modelling part, while preserving the freedom of the analyst.

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References

  1. Buteau, C., Mazzola, G.: Motivic Analysis Regarding Rudolph Réti: Formalization Within A Mathematical Model. Journal of Mathematics and Music 2(3), 117–134 (2008)

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© 2011 Springer-Verlag Berlin Heidelberg

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Buteau, C., Anagnostopoulou, C. (2011). Motivic Topologies: Mathematical and Computational Modelling in Music Analysis. In: Agon, C., Andreatta, M., Assayag, G., Amiot, E., Bresson, J., Mandereau, J. (eds) Mathematics and Computation in Music. MCM 2011. Lecture Notes in Computer Science(), vol 6726. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21590-2_26

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  • DOI: https://doi.org/10.1007/978-3-642-21590-2_26

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-21589-6

  • Online ISBN: 978-3-642-21590-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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