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Fourier Oracles for Computer-Aided Improvisation

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text
 

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article
 

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document numérique
 

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Titre

Fourier Oracles for Computer-Aided Improvisation
 

Nom(s)

Amiot, Emmanuel (auteur)
 
Noll, Thomas (auteur)
 
Andreatta, Moreno (auteur)
 
Agon, Carlos (auteur)
 

Publication

New Orleans, USA , 2006
 

Description

Résumé

The mathematical study of the diatonic and chromatic uni- verses in the tradition of David Lewin (9) and John Clough (6) is a point of departure for several recent investigations. Surprisingly, Lewin's original idea to apply finite Fourier trans- form to musical structures has not been further investigated for four decades. It turns out that several music-theoretically interesting properties of certain types of musical structures, as the partial symmetry of Fourier balances, maximal even- ness (5) and well-formedness (4), allow alternative charac- terizations in terms of their Fourier transforms. The paper ex- plores two particularly interesting cases: vanishing Fourier coefficients as an expression of chord symmetry and maxi- mal Fourier coefficients as a reinterpretation of maximally even scales. In order to experimentally explore the Fourier approach we design an interactive playground for rhythmic loops. We propose a Fourier-based approach to be integrated as an ”Scratching”-interface in the OMAX environment (built on OpenMusic and MaxMSP) which allows to interactively change a rhythm through a gestural control of its Fourier im- age. A collection of theoretical tools in OpenMusic visual programming language helps the improviser to explore some new musical situations by inspecting mathematical and visual characteristics of the Fourier image.
 

Note(s)

Contribution au colloque ou congrès : ICMC 2006
 

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2014-10-31 01:00:00
 

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