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2020 | OriginalPaper | Chapter

10. Mathematical Music Theory

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

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Abstract

Mathematical Music Theory offers a new view on musical conceptualization, in particular the power of generalization of models and theorems for musical phenomena. We stress the creative power of this approach, as opposed to traditional conservative music theories.

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previous chapter Big Science in Music
next chapter Serialism: Failure of New Concepts Without Musical Impact
Footnotes
1
Such as tonal, post-tonal, and Schenkerian theory.
 
2
Recall a result by Mason and Mazzola [107, Ch. I.4]: Any two seven-element scales can be alterations of each other by at most three ♯ and two ♭. The usage of too many alterations does not prove anything.
 
3
CERN is the European Center for Nuclear Research near Geneva.
 
Literature
6.
O.A. Agustín-Aquino, G. Mazzola, Contrapuntal aspects of the mystic Chord and Scriabin’s Piano Sonata No. 5, in Mathematics and Computation in Music (Springer, Cham, 2019), pp. 3–20
9.
E. Amiot, Music Through Fourier Space. Springer Series Computational Music Science (Springer, Heidelberg, 2016)CrossRef
16.
P. Boulez, Musikdenken heute I,II; Darmstädter Beiträge V, VI. Schott, Mainz 1963 (1985)
107.
G. Mazzola, Gruppen und Kategorien in der Musik (Heldermann, Berlin, 1985)MATH
111.
G. Mazzola, Musical Performance—A Comprehensive Approach: Theory, Analytical Tools, and Case Studies. Springer Series Computational Music Science (Springer, Heidelberg, 2010)
113.
G. Mazzola, The Topos of Music III: Gestures. Springer Series Computational Music Science (Springer, Heidelberg, 2018)
114.
G. Mazzola, The Topos of Music II: Performance. Springer Series Computational Music Science (Springer, Heidelberg, 2018)
118.
G. Mazzola, et al., The Topos of Music—Geometric Logic of Concepts, Theory, and Performance (Birkhäuser, Basel, 2002)
121.
G. Mazzola, M. Mannone, M. O’Brien, Y. Pang, N. Torunsky, All About Music (Springer, Heidelberg, 2016)CrossRef
Metadata
Title
Mathematical Music Theory
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_10