eduzhai > Applied Sciences > Engineering >

Tonal harmony and the topology of dynamical score networks

  • Save

... pages left unread,continue reading

Document pages: 33 pages

Abstract: We introduce the concept of dynamical score networks for the representationand analysis of tonal compositions: a score is interpreted as a dynamicalnetwork where every chord is a node and each progression links successivechords. 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 tonalregions using time series analysis and change point detection without relyingon comparisons with pre-determined reference sets or extensive corpora. Wedemonstrate that the essential features of tonal harmony, centricity,referentiality, directedness and hierarchy, emerge naturally from the networktopology and its scale-free properties. Finally, solving for the minimal lengthpath through a route optimization algorithm on these graphs provides anabstraction of harmonic sequences that can be generalized for the conception ofgenerative models of tonal compositional design.

Please select stars to rate!

         

0 comments Sign in to leave a comment.

    Data loading, please wait...
×