Scratching the scale labyrinth

Andrew J. Milne, Martin Carlé, William A. Sethares, Thomas Noll, Simon Holland

    Research output: Chapter in Book / Conference PaperConference Paperpeer-review

    16 Citations (Scopus)

    Abstract

    ![CDATA[In this paper, we introduce a new approach to computer aided microtonal improvisation by combining methods for (1) interactive scale navigation, (2) real-time manipulation of musical patterns and (3) dynamical timbre adaption in solidarity with the respective scales. On the basis of the theory of well-formed scales we offer a visualization of the underlying combinatorial ramifications in terms of a scale labyrinth. This involves the selection of generic well-formed scales on a binary tree (based on the Stern-Brocot tree) as well as the choice of specific tunings through the specification of the sizes of a period (pseudo-octave) and a generator (pseudo-fifth), whose limits are constrained by the actual position on the tree. We also introduce a method to enable transformations among the modes of a chosen scale (generalized and refined “diatonic” and “chromatic” transpositions). To actually explore the scales and modes through the shaping and transformation of rhythmically and melodically interesting tone patterns, we propose a playing technique called Fourier Scratching. It is based on the manipulation of the “spectra” (DFT) of playing gestures on a sphere. The coordinates of these gestures affect score and performance parameters such as scale degree, loudness, and timbre. Finally, we discuss a technique to dynamically match the timbre to the selected scale tuning.]]
    Original languageEnglish
    Title of host publicationMathematics and Computation in Music: Third International Conference, MCM 2011, Paris, France, June 15-17, 2011: Proceedings
    PublisherSpringer
    Pages180-195
    Number of pages16
    ISBN (Print)9783642215896
    Publication statusPublished - 2011
    EventInternational Conference on Mathematics and Computation in Music -
    Duration: 15 Jun 2011 → …

    Publication series

    Name
    ISSN (Print)0302-9743

    Conference

    ConferenceInternational Conference on Mathematics and Computation in Music
    Period15/06/11 → …

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