Math and Music, Models and Metaphors: Alberto Posadas' 'Tree-Like Structures'.

Alberto Posadas (b. 1967) often draws upon extramusical sources in order to nurture his compositional practices; among them, mathematical ones remain as the most persistent influence in his growing body of works. In particular, Lindenmayer systems stand as his most recurrent mathematical model, gove...

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Published in:Contemporary Music Review Vol. 38; no. 1/2; pp. 107 - 132
Main Author: Besada, José L.
Format: Article
Published: Taylor & Francis Ltd Feb-Apr2019
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        10.1080/07494467.2019.1578123
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        atl: Math and Music, Models and Metaphors: Alberto Posadas' 'Tree-Like Structures'.
      aug:
        au: Besada, José L.
      su:
        Posadas, Alberto
        Musical composition
        Spanish music
        L systems
        Music & mathematics
        Schumann, Robert, 1810-1856
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          Posadas, Alberto
          Musical composition
          Spanish music
          L systems
          Music & mathematics
          Schumann, Robert, 1810-1856
      keyword:
        Alberto Posadas (1967-)
        Comparative Analysis
        Conceptual Blending
        Genetic Criticism
        L-systems
        Organic Metaphor
      ab: Alberto Posadas (b. 1967) often draws upon extramusical sources in order to nurture his compositional practices; among them, mathematical ones remain as the most persistent influence in his growing body of works. In particular, Lindenmayer systems stand as his most recurrent mathematical model, governing the compositional strategies of nine pieces to date, from Arborescencias to Anklänge an Robert Schumann. This paper analyses the way the aforementioned fractal model takes part in the Spanish composer's creative practices. For that purpose, I first define the model and contextualise it within the field of musical composition, summoning for that purpose names such as Hanspeter Kyburz, Philippe Manoury or Enno Poppe. Next, I describe the evolution of Lindenmayer systems in Posadas' oeuvre over time. Some techniques of genetic criticism are used in order to achieve this main goal. Moreover, I will underline some cognitive aspects around the metaphorical thinking underlying this choice.
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    language: English
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