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18 juin 2019
- ISIDORE Id: 10670/1.708db8...
- hal: hal-02153236
- doi: 10.1007/978-3-030-21392-3_17
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info:eu-repo/semantics/altIdentifier/doi/10.1007/978-3-030-21392-3_17
info:eu-repo/semantics/OpenAccess
Mots-clés
Harmonic similarity Simplicial complexes Pitch-class sets Filtration Pitch-class set complexes Persistent homologySujets proches
Linear complexesCiter ce document
Louis Bigo et al., « Filtration of Pitch-Class Sets Complexes », HAL SHS (Sciences de l’Homme et de la Société), ID : 10.1007/978-3-030-21392-3_17
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Résumé
A pitch-class set complex is a multidimensional object that spatially represents a collection of pitch-class sets and the intersections between them. If we consider the pitch classes within short time slices a piece can be divided into, we can evaluate for how long some combinations of pitch-classes sound simultaneously and then filter the piece according to the most relevant ones. This filtration process is performed by considering the superlevel sets of the function that computes the cumulative duration of pitch-class sets during the piece. Experiments show that musical sequences in the same style can exhibit similar sub-complexes in the filtration of their pitch-class set complexes. Filtered pitch-class set complexes also provide original informations on the use of the tonality and on the notion of centricity within a piece.
