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Generalized Voice Exchange

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Mathematics and Computation in Music (MCM 2009)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 38))

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Abstract

The notion of voice exchange in ordered pitch-class space conforms closely to that of contextual inversion in neo-Riemannian theory: the melodic dyad (a, b) in one voice inverts in another voice, and we define an axis of inversion respectively for all such pairs. We may thus apply many of the transformational concepts of neo-Riemannian theory to a study of voice exchange. We draw our musical examples from the Prelude to Richard Wagner’s Tristan und Isolde, for which a separate analytical thread exists that considers aspects of tonality in relation to the voice exchange in the resolution of the Tristan Chord.

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Author information

Authors and Affiliations

  1. School of Music, Louisiana State University, Baton Rouge, Louisiana, 70803, USA

    Robert Peck

Authors
  1. Robert Peck
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Editor information

Editors and Affiliations

  1. Viterbi School of Engineering, Integrated Media Systems Center, Epstein Department of Industrial and Systems Engineering, University of Southern California, 3715 McClintock Avenue GER240 MC:0193, P.O. Box, Los Angeles, California, USA

    Elaine Chew

  2. Hugh Hodgson School of Music, University of Georgia, 250 River Road, GA 30602-7278, Athens, USA

    Adrian Childs

  3. Department of Math and Computer Science, Barry University, 11300 NE 2nd Avenue, Miami Shores, FL 33161, USA

    Ching-Hua Chuan

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© 2009 Springer-Verlag Berlin Heidelberg

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Peck, R. (2009). Generalized Voice Exchange. In: Chew, E., Childs, A., Chuan, CH. (eds) Mathematics and Computation in Music. MCM 2009. Communications in Computer and Information Science, vol 38. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02394-1_21

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  • DOI: https://doi.org/10.1007/978-3-642-02394-1_21

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-02393-4

  • Online ISBN: 978-3-642-02394-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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