LinguisticsMathematics
DOI: 10.1080/17459737.2011.573676

tlooto Summary

Proposes a generative syntax for tonal harmony with phrase-structure grammar rules to account for harmonic progressions and modulations in Western music.

Abstract

This paper aims to propose a hierarchical, generative account of diatonic harmonic progressions and suggest a set of phrase-structure grammar rules. It argues that the structure of harmonic progressions exceeds the simplicity of the Markovian transition tables and proposes a set of rules to account for harmonic progressions with respect to key structure, functional and scale degree features as well as modulations. Harmonic structure is argued to be at least one subsystem in which Western tonal music exhibits recursion and hierarchical organization that may provide a link to overarching linguistic generative grammar on a structural and potentially cognitive level.

Citation format

ROHRMEIER, M. Towards a generative syntax of tonal harmony. JOURNAL OF MATHEMATICS AND MUSIC, 2011, 5: 35–53.