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International Conference on Mathematics and Computation in Music

MCM 2015: Mathematics and Computation in Music pp 245–256Cite as

Constructing Geometrical Spaces from Acoustical Representations

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 9110))

Abstract

This paper presents several models for constructing geometrical spaces from acoustical representations. Through specific spectral representations and associated distance measures each model is designed to highlight or ignore certain types of relationships within the given pitch sets. Dimensionality reduction is employed to obtain low dimensional embeddings from spectral representations. The viability of these models is demonstrated for the resulting low dimensional embeddings with respect to a number of group actions including octave shifts, permutation, transposition and inversion.

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Author information

Authors and Affiliations

  1. Department of Computer Science, Connecticut College, New London, CT, USA

    Özgür İzmirli

Authors
  1. Özgür İzmirli
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Correspondence to Özgür İzmirli .

Editor information

Editors and Affiliations

  1. De Montfort University, Leicester, United Kingdom

    Tom Collins

  2. Aalborg University, Aalborg, Denmark

    David Meredith

  3. Utrecht University, Utrecht, The Netherlands

    Anja Volk

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İzmirli, Ö. (2015). Constructing Geometrical Spaces from Acoustical Representations. In: Collins, T., Meredith, D., Volk, A. (eds) Mathematics and Computation in Music. MCM 2015. Lecture Notes in Computer Science(), vol 9110. Springer, Cham. https://doi.org/10.1007/978-3-319-20603-5_26

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  • DOI: https://doi.org/10.1007/978-3-319-20603-5_26

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-20602-8

  • Online ISBN: 978-3-319-20603-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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