Boulez’s creative analysis: An arcane compositional strategy in the light of mathematical music theory

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

We investigate part I of the famous composition Structures pour deux pianos by Pierre Boulez with regard to their mathematical construction principles and interpret the analytical results in order to obtain computational schemes for generalized compositions following Boulez’s approach and also in the lines of Boulez’s principle of creative analysis. These generalized schemes are then implemented in rubettes of the software Rubato and yield corresponding compositions. Our analysis confirms the visionary force of Boulez’s innovation in that his matrix methods for part I turn out to be in complete congruence with the category-theoretical situation created by generally addressed points in the spirit of the Yoneda lemma and then systematically used by Alexander Grothendieck.

Original languageEnglish (US)
Title of host publicationPatterns of Intuition
Subtitle of host publicationMusical Creativity in the Light of Algorithmic Composition
PublisherSpringer Netherlands
Pages379-404
Number of pages26
ISBN (Electronic)9789401795616
ISBN (Print)9789401795609
DOIs
StatePublished - Jan 1 2015

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    Mazzola, G. (2015). Boulez’s creative analysis: An arcane compositional strategy in the light of mathematical music theory. In Patterns of Intuition: Musical Creativity in the Light of Algorithmic Composition (pp. 379-404). Springer Netherlands. https://doi.org/10.1007/978-94-017-9561-6_18