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Scratching the Scale Labyrinth

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

Mathematics and Computation in Music, p.180-195 [Periódico revisado por pares]

Berlin, Heidelberg: Springer Berlin Heidelberg

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  • Título:
    Scratching the Scale Labyrinth
  • Autor: Milne, Andrew J. ; Carlé, Martin ; Sethares, William A. ; Noll, Thomas ; Holland, Simon
  • Assuntos: Chromatic ; Diatonic ; Farey Sequence ; Fourier Scratching ; MOS Scales ; Stern-Brocot Tree ; Well-Formed Scales
  • É parte de: Mathematics and Computation in Music, p.180-195
  • Descrição: 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.
  • Títulos relacionados: Lecture Notes in Computer Science
  • Editor: Berlin, Heidelberg: Springer Berlin Heidelberg
  • Idioma: Inglês
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  • Realização: ABCD-USP USP   Logos de Redes Sociais: Freepik

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