#4192. Tonal harmony and the topology of dynamical score networks

September 2026publication date
Proposal available till 27-05-2025
4 total number of authors per manuscript0 $

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Journal’s subject area:
Music;
Applied Mathematics;
Computational Mathematics;
Modeling and Simulation;
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Abstract:
The author introduces the concept of dynamical score networks for the representation and analysis of tonal compositions: a score is interpreted as a dynamical network where every chord is a node and each progression links successive chords. This network can be viewed as a time series of a non-stationary signal, and as such, it can be partitioned for the automatic identification of tonal regions using time series analysis and change point detection without relying on comparisons with pre-determined reference sets or extensive corpora. The author demonstrates that the essential features of tonal harmony, centricity, referentiality, directedness and hierarchy, emerge naturally from the network topology and its scale-free properties. Finally, solving for the minimal length path through a route optimization algorithm on these graphs provides an abstraction of harmonic sequences that can be generalized for the conception of generative models of tonal compositional design.
Keywords:
Composition; music analysis; music information retrieval; theory; tonality

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