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(2011). Scratching the scale labyrinth.
In: Agon, C.; Amiot, E.; Andreatta, M.; Assayag, G.; Bresson, J. and Mandereau, J. eds.
Mathematics and Computation in Music.
Lecture Notes in Artificial Intelligence (6726).
Berlin Heidelberg: Springer-Verlag, pp. 180–195.
Full text available as:
Abstract
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.
| Item Type: |
Book Chapter
|
| Copyright Holders: |
2011 Springer-Verlag |
| ISBN: |
3-642-21589-0, 978-3-642-21589-6 |
| Extra Information: |
The original publication is available at www.springerlink.com
Third International Conference, MCM 2011, Paris, France, June 15-17, 2011 |
| Keywords: |
MOS Scales; Well-Formed Scales; Diatonic; Chromatic; Stern- Brocot Tree; Farey Sequence; Fourier Scratching |
| Academic Unit/Department: |
Mathematics, Computing and Technology > Computing |
| Interdisciplinary Research Centre: |
Centre for Research in Computing (CRC) |
| Related URLs: |
|
| Item ID: |
28690 |
| Depositing User: |
Andrew Milne
|
| Date Deposited: |
06 May 2011 08:51 |
| Last Modified: |
20 May 2013 16:23 |
| URI: |
http://oro.open.ac.uk/id/eprint/28690 |
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