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Mazzola’s Sonata Construction: A Technical Approach and Its Limits

  • Guerino Mazzola
  • Jason Noer
  • Yan Pang
  • Shuhui Yao
  • Jay Afrisando
  • Christopher Rochester
  • William Neace
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Abstract

This chapter gives a prototypical example of mathematical methods that should play a role in musical composition of the future. Mazzola’s sonata is an explicit experiment to understand the mechanisms of mathematically shaped sonata construction and its creative limitations, starting from the analysis of Beethoven’s Hammerklavier Sonata Op. 106 to compose a new sonata. This is an example of Boulez’s creative analysis. We then critically review the Boulezian idea and the new composition.

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Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  • Guerino Mazzola
    • 1
  • Jason Noer
    • 2
  • Yan Pang
    • 2
  • Shuhui Yao
    • 1
  • Jay Afrisando
    • 1
  • Christopher Rochester
    • 1
  • William Neace
    • 1
  1. 1.University of MinnesotaSchool of MusicMinneapolisUSA
  2. 2.Department of Theatre Arts & DanceUniversity of MinnesotaMinneapolisUSA

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