Pregled bibliografske jedinice broj: 1140042
A model for tonal progressions of seventh chords
A model for tonal progressions of seventh chords // Journal of Mathematics and Music, (2021), 1-22 doi:10.1080/17459737.2021.1928311 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1140042 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
A model for tonal progressions of seventh chords
Autori
Marohnić, Luka
Izvornik
Journal of Mathematics and Music (1745-9737)
(2021);
1-22
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
seventh chord ; harmony ; voice leading ; line of fifths ; parsimony ; chord progression ; graph theory ; shortest-path algorithm ; pitch spelling
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.
Izvorni jezik
Engleski
Znanstvena područja
Matematika, Glazbena umjetnost
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- Arts & Humanities Citation Index (A&HCI)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
