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Autores
Orientador(es)
Resumo(s)
While symmetry of pitch and temporal musical components have an inherent
element of predictability, it can also structure both surprising and goal-directed
processes in the music of such composers as Berg, Bartók, and Ligeti or in compositional systems such as Messiaen’s modes of limited transposition et Rythmes
non retrogradables, Berg’s Master Array of interval cycles, or Perle’s symmetrical
cycles. This paper revisits the conceptual framework on concurrent symmetrical
cycles advanced by Perle (especially in Twelve-Tone Tonality, 1978), both as a compositional design capable of producing harmonic simultaneities directly related to the series pre-established order and as a background analytical system for the
music of such composers as Berg, Varèse and Bartók, where the principle of “symmetry” becomes the key element sustaining a “Tonal System.”
In line with the current interest on geometric models of pitch space (e.g., Tymoczko
2011), this paper proposes a compositional model—Serial Geometry—, which explores how unique symmetrical geometrical shapes can serve as a representational
model for periodic invariances and proportional equivalencies of the serialized
12-chromatic space. This unique geometrical property, in turn, can sustain the
interaction between motivic directionality, and harmonic structure in the compositional system, offers insights on the correlations between pitch system and
geometric modeling, and serves as analytical basis for works of the author and
other composers such as Perle and Ligeti.
Descrição
Palavras-chave
Symmetry Geometric music models Serialism Twelve-Tone Composition
Contexto Educativo
Citação
MARQUES, José Telmo - Serial Geometry: Analysis and Development of a New Compositional Model. In IX Congreso Nacional de la Sociedad Española De Musicología, Madrid, Spain, 16–19 November, 2016. – In LOLO, Begona (dir.) - Musicología en el siglo XXI: nuevos retos, nuevos enfoques. Madrid: Universidad Autónoma, 2016. p. 148-149