Marques, José Telmo2018-01-232018-01-232016MARQUES, 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. 148-149http://hdl.handle.net/10400.14/23985While 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.engSymmetryGeometric music modelsSerialismTwelve-Tone Compositionconference object