Tonal harmony and the topology of dynamical score networks

I introduce the concept of dynamical score networks for representation and analysis tonal compositions: a is interpreted as network where every chord node each progression links successive chords. This can be viewed time series non-stationary signal, such, it partitioned automatic identification regions using change point detection without relying on comparisons with pre-determined reference sets or extensive corpora. demonstrate that essential features harmony, centricity, referentiality, directedness hierarchy, emerge naturally from topology its scale-free properties. Finally, solving minimal length path through route optimization algorithm these graphs provides an abstraction harmonic sequences generalized conception generative models compositional design.