  We introduce 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. We
demonstrate 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.
