XenakisV1, France, Analysis, bibRecord, 000042

Modelling of sonic textures by homogenization

Identifieur interne : 000042 ( France/Analysis ); précédent : 000041; suivant : 000043

Modelling of sonic textures by homogenization

Auteurs : Isabelle Gruais [France]

Source :

Journal of Mathematics and Music [ 1745-9737 ] ; 2010.

RBID : Hal:hal-00559410

English descriptors

mix :
- dynamics, harmonics, intervals, pitch, space, texture.

Abstract

A periodic network is studied with homogenization methods when the nodes are occupied according to Xenakis's model of probabilistic cloud. As the network period shrinks to the null size, the equivalent texture acquires sound properties that depend on the ratio of the high density locations size over the period of their distribution. Three cases are considered according to some critical value of this ratio. The asymptotic pressure characteristic of the limit problem is determined under the assumption that some fundamental frequency is finite and positive.

Url:

https://hal.archives-ouvertes.fr/hal-00559410

DOI: 10.1080/17459737.2010.529676

Affiliations:

Links toward previous steps (curation, corpus...)

to stream Hal, to step Corpus: 000017
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to stream Main, to step Exploration: 000089
to stream France, to step Extraction: 000042

Links to Exploration step

Hal:hal-00559410

Le document en format XML

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<front><div type="abstract" xml:lang="en">A periodic network is studied with homogenization methods when the nodes are occupied according to Xenakis's model of probabilistic cloud. As the network period shrinks to the null size, the equivalent texture acquires sound properties that depend on the ratio of the high density locations size over the period of their distribution. Three cases are considered according to some critical value of this ratio. The asymptotic pressure characteristic of the limit problem is determined under the assumption that some fundamental frequency is finite and positive.</div>
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   |texte=   Modelling of sonic textures by homogenization
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Modelling of sonic textures by homogenization

Modelling of sonic textures by homogenization

Source :

English descriptors

Abstract

Links toward previous steps (curation, corpus...)

Links to Exploration step

Le document en format XML

Pour manipuler ce document sous Unix (Dilib)

Pour mettre un lien sur cette page dans le réseau Wicri