Harmonic structures of Beethoven quartets: a complex network approach
Bertrand Georgeot
- Fonction : Auteur
- PersonId : 755740
- ORCID : 0000-0002-5886-9118
- IdRef : 083678255
Olivier Giraud
- Fonction : Auteur
- PersonId : 741751
- IdHAL : olivier-giraud
- ORCID : 0000-0002-7784-8777
- IdRef : 076075273
Résumé
We propose a complex network approach to the harmonic structure underpinning western tonal music. From a database of Beethoven's string quartets, we construct a directed network whose nodes are musical chords and edges connect chords following each other. We show that the network is scale-free and has specific properties when ranking algorithms are applied. We explore the community structure and its musical interpretation, and propose statistical measures stemming from network theory allowing to distinguish stylistically between periods of composition. Our work opens the way to a network approach of structural properties of tonal harmony.
Format du dépôt | Notice |
---|---|
Type de dépôt | Article dans une revue |
Résumé |
en
We propose a complex network approach to the harmonic structure underpinning western tonal music. From a database of Beethoven's string quartets, we construct a directed network whose nodes are musical chords and edges connect chords following each other. We show that the network is scale-free and has specific properties when ranking algorithms are applied. We explore the community structure and its musical interpretation, and propose statistical measures stemming from network theory allowing to distinguish stylistically between periods of composition. Our work opens the way to a network approach of structural properties of tonal harmony.
|
Titre |
en
Harmonic structures of Beethoven quartets: a complex network approach
|
Auteur(s) |
Théo Frottier
1
, Bertrand Georgeot
1, 2
, Olivier Giraud
3
1
LPT -
Laboratoire de Physique Théorique
( 1147613 )
- LPT
118 route de Narbonne,
31062 Toulouse Cedex 4
- France
2
ICQ -
Cohérence Quantique (LPT)
( 1147615 )
- Laboratoire de Physique Théorique - FERMI
Université Paul Sabatier
Bât. 3R1B4
118, route de Narbonne
31062 Toulouse Cedex 04
- France
3
LPTMS -
Laboratoire de Physique Théorique et Modèles Statistiques
( 1051086 )
- Bâtiment 100 Université Paris-Sud Centre Scientifique d'Orsay 15 rue Georges Clémenceau 91405 Orsay cedex
- France
|
Nom de la revue |
|
Vulgarisation |
Non
|
Comité de lecture |
Oui
|
Audience |
Internationale
|
Date de publication électronique |
2022-07-02
|
Volume |
95
|
Page/Identifiant |
103
|
URL éditeur |
https://epjb.epj.org/articles/epjb/abs/2022/07/10051_2022_Article_368/10051_2022_Article_368.html
|
Date de publication |
2022-07
|
Langue du document |
Anglais
|
Commentaire |
7 pages, 7 figures
|
Domaine(s) |
|
arXiv Id | 2201.08796 |
DOI | 10.1140/epjb/s10051-022-00368-z |
Loading...