Bridges 2011 Regular Paper
Pitch-Space Lattices: Tonnetze and Other Transpositional Networks
(Proceedings pages 287–294)
The paper proposes a three-fold classification for pitch-space
lattices based on a music-theoretic construct known as the Tonnetz.
It argues that applying incremental changes on some of the constructive
features of the generic Tonnetz (Cohn 1997) results in a set of
coherent and analytically versatile transpositional networks (T-nets),
which brings under a focused perspective diverse pitch structures
such as Tonnetze, affinity spaces, Alban Berg's ``master array'' of
interval-cycles, and other types of networks. The paper also explores
the music-modeling potential of progressive and dynamic T-nets by
attending to characteristic compositional deployments in the music
of Witold Lutosławski.