Work

A Symmetry Based Approach For Musical Tonality Analysis.

Year: 2007

Type: article

Abstract: We present a geometric approach for tonality analysis called symmetry model. To derive the symmetry model, Carol L. Krumhansl and E.J. Kessler’s toroidal Multi Dimensional Scaling (MDS) solution is separated into a key spanning and a key related component. While the key spanning component represents relationships between different keys, the key related component is suitable for the analysis of inner relationships of diatonic keys, for example tension or resolution tendencies, or functional relationships. These features are directly related to the symmetric organisation of tones around the tonal center, which is particularly visualized by the key related component. 1

DOI: 10.5281/zenodo.1416213

Authors: Gatzsche, Gabriel, Mehnert, Markus, Gatzsche, David, Brandenburg, Karlheinz

Language: English

Topic: Music and Audio Processing

Subfield: Signal Processing

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W154371001

FWCI: 2.494

Cites: 8

Cited by: 16

Related to: 10