Title :

Filtration of Pitch-Class Sets Complexes

Author(s) :

Bigo, Louis [Auteur]
Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 [CRIStAL]
Andreatta, Moreno [Auteur]
Institut de Recherche Mathématique Avancée [IRMA]
Représentations musicales [Repmus]

Conference title :

7th International Conference, MCM 2019

City :

Madrid

Country :

Espagne

Start date of the conference :

2019-06-18

Journal title :

Montiel M., Gomez-Martin F., Agustín-Aquino O. (eds) Mathematics and Computation in Music. MCM 2019. Lecture Notes in Computer Science, vol 11502. Springer, Cham

Publication date :

2019-05-31

English keyword(s) :

Harmonic similarity
Simplicial complexes
Pitch-class sets
Filtration
Pitch-class set complexes
Persistent homology

HAL domain(s) :

Sciences de l'Homme et Société/Musique, musicologie et arts de la scène
Informatique [cs]
Mathématiques [math]

English abstract : [en]

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 ...
Show more >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.Show less >

Language :

Anglais

Peer reviewed article :

Oui

Audience :

Internationale

Popular science :

Non

Collections :

• Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189

Source :

Harvested from HAL