Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
Events
DE
EN
Books
Journals
Topic Page
Marketing
Start single access now
Access for companies
EXTENDED SEARCH
Log in
Top
Published in:
General Introduction Read chapter Read first chapter

2020 | OriginalPaper | Chapter

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

Authors : Guerino Mazzola, Jason Noer, Yan Pang, Shuhui Yao, Jay Afrisando, Christopher Rochester, William Neace

Published in: The Future of Music

Publisher: Springer International Publishing

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

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.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

inform now
previous chapter Serialism: Failure of New Concepts Without Musical Impact
next chapter Imaginary Time: Extending Musical Time Concepts to Cognitive Dimensions
Footnotes
1
A transposition by n semitones is denoted by T n.
 
2
For music theorists: The sharpened/flattened note names do not mean that we think in alterations, but simply denote the position of the note on the set of 12 pitch classes within an octave.
 
Literature
14.
A. Boissière, Geste, interprétation, invention selon Pierre Boulez. Revue DEMéter, déc (2002), Univ. Lille-3
107.
G. Mazzola, Gruppen und Kategorien in der Musik (Heldermann, Berlin, 1985)MATH
108.
G. Mazzola, Geometrie der Töne (Birkhäuser, Basel, 1990)
110.
G. Mazzola, L’essence du bleu Acanthus (2002)
118.
G. Mazzola, et al., The Topos of Music—Geometric Logic of Concepts, Theory, and Performance (Birkhäuser, Basel, 2002)
120.
G. Mazzola, M. Mannone, Y. Pang, Cool Math for Hot Music (Springer, Heidelberg, 2016)CrossRef
Metadata
Title
Mazzola’s Sonata Construction: A Technical Approach and Its Limits
Authors
Guerino Mazzola
Jason Noer
Yan Pang
Shuhui Yao
Jay Afrisando
Christopher Rochester
William Neace
Copyright Year
2020
Book
The Future of Music

Print ISBN: 978-3-030-39708-1

Electronic ISBN: 978-3-030-39709-8

Copyright Year: 2020

DOI
https://doi.org/10.1007/978-3-030-39709-8_12