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A model for tonal progressions of seventh chords

izvorni znanstveni rad

izvorni znanstveni rad

A model for tonal progressions of seventh chords

Vrsta prilog u časopisu
Tip izvorni znanstveni rad
Godina 2021
Časopis Journal of Mathematics and Music
Volumen 17
Svesčić 1
Stranice str. 1-22
DOI 10.1080/17459737.2021.1928311
ISSN 1745-9737
EISSN 1745-9745
Status objavljeno

Sažetak

In this paper, we propose a model for idealized diatonic and chromatic voice leadings between seventh chords and study its computational aspects. The model provides a mathematical formalization of the concept of tonal seventh chord realizations including augmented sixth chords. Certain contrapuntal aspects, such as preparation and resolution of certain dissonant intervals, are taken into account. Possible applications of the model are discussed using a graph-theoretic approach. In particular, we present an algorithm for generating concrete voicings from sequences of seventh-chord symbols.

Ključne riječi

seventh chord; harmony; voice leading; line of fifths; parsimony; chord progression; graph theory; shortest-path algorithm; pitch spelling