Accueil du site > À la une > A complex network approach to harmonic structures in Beethoven quartets
A complex network approach to harmonic structures in Beethoven quartets
par - 27 juillet 2022
Toutes les versions de cet article : English , français
Researchers from LPT and LPTMS have recently proposed a complex network approach to the harmonic structure underpinning western tonal music. Using a database of Beethoven’s string quartets, they have constructed a directed network whose nodes are musical chords and edges connect chords following each other. They have studied the properties of the network, and explored its community structure and its musical interpretation. They have also proposed statistical measures stemming from network theory which allow to distinguish stylistically between periods of composition. This work opens the way to a network approach of structural properties of tonal harmony in classical music.
See also the associated CNRS news
[1] Théo Frottier, Bertrand Georgeot, Olivier Giraud, "Harmonic structures of Beethoven quartets : a complex network approach ", Eur. Phys. J. B 95, 103 (2022)
Dans la même rubrique :
- Exceeding the Pauli limit
- Google matrix of the world trade network
- Symmetry-protected topological phases of cold atoms in one dimension
- Measuring the size of Schrödinger’s cat
- Fractionalization of Itinerant Anyons in One-Dimensional Chains
- How to reproduce bacterial propulsion in a biomimetic way ?
- Local injection of pure spin current generates electric current vortices
- Condensate-free superfluid induced by frustrated proximity effect
- Ultimate quantum limits to sensitivity of nano-oscillator based "artificial noses"
- Preuve expérimentale du couplage spin-orbite Zeeman
- Gapless spin liquid in the frustrated square lattice Heisenberg quantum antiferromagnet
- An Ideal Test Bed for 2D Magnetism
- Spin-Wave Localization for 2D Bosons in a Random Potential
- DNA bubbles and bending : how conformational fluctuations modify its thermal denaturation
- Phase separation and flux quantization in the doped quantum dimer model on the square and triangular lattices
- How disorder can turn into long-range order at high magnetic field ?
- Computing fidelity at magnetic quantum phase transitions
- Topological chiral spin liquid groundstate of a frustrated antiferromagnetic Heisenberg model
- Comment développer l’intelligence collective grâce à l’information sociale
- Comment les poissons interagissent et coordonnent leurs déplacements dans un banc