Expanded Atonal Voice-Leading Space for Trichords: an auxiliary model for generating pre-compositional material

Autores

  • Ricardo Mazzini Bordini Universidade Federal do Maranhão

DOI:

https://doi.org/10.52930/mt.v3i1.69

Resumo

This paper discusses an atonal voice-leading space for trichords as stated by Straus (2005) after Morris (1998), expanded by insertion of a new operation. Examined in detail are the operations and rules for chaining set classes by semitones inside that space; provisions for further approaches including a new method for chaining; suggestions on some pathways to traverse it thoroughly, and a quick reference guide for voice-leading sub-spaces.

Referências

Callender, Clifton, Ian Quinn, and Dmitri Tymoczko. 2008. Generalized Voice-Leading Spaces. Science 320, p. 346–348.

Cohn, Richard. 1998. Square Dances with Cubes. Journal of Music Theory 42, no 2, p. 283–296.

____________. 2003. A Tetrahedral Graph of Tetrachordal Voice-Leading Space. Music Theory Online 9, no 4, p. 1–19.

Cook, Robert C. 2005. Parsimony and Extravagance. Journal of Music Theory 49, no 1, p. 109–140.

Morris, Robert. 1998. Voice-Leading Spaces. Music Theory Spectrum 20, no 2, p.175–208.

Straus, Joseph N. 2005. Introduction to Post-Tonal Theory. 3rd ed. New York: Pearson.

Tymoczko, Dmitri. 2011. A Geometry of Music: Harmony and Counterpoint in the Extended Common Practice. Oxford: Oxford University Press.

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Publicado

2019-01-14