Pitch-Space Lattices: Tonnetze and other Transpositional Networks

Year: 2011 Authors: José Oliveira Martins

Core claim

Incremental changes to the generic Tonnetz yield coherent T-nets that unify several pitch-space models and support analysis of tonal and atonal music.

Topics

Tonnetz, transpositional networks, pitch-space lattices, interval cycles

Domains

mod-12 group theory, lattice geometry, interval cycles, music theory, composition analysis, visualization

Methods

classification framework, lattice modeling, comparative analysis

Media

pitch-class lattices, 12-tone chords, diminished-seventh chords

Source status

This page publishes metadata and extracted analytical signals only. Raw PDF and full OCR text are kept local for now.