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Computational Music Science

The Musical-Mathematical Mind

Patterns and Transformations

Editors: Pareyon, G., Pina-Romero, S., Agustin-Aquino, O.A., Lluis-Puebla, E. (Eds.)

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  • Presents and explains important ideas in counterpoint, gesture, and Topos theory
  • Contributors among leading researchers in this domain
  • Valuable for researchers working in the area of computational music
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eBook $89.00
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  • ISBN 978-3-319-47337-6
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Hardcover $169.99
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Softcover $119.99
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About this book

This book presents a deep spectrum of musical, mathematical, physical, and philosophical perspectives that have emerged in this field at the intersection of music and mathematics. In particular the contributed chapters introduce advanced techniques and concepts from modern mathematics and physics, deriving from successes in domains such as Topos theory and physical string theory.

The authors include many of the leading researchers in this domain, and the book will be of value to researchers working in computational music, particularly in the areas of counterpoint, gesture, and Topos theory.

Reviews

“It is impossible to summarize a work of such depth. Suffice it to say that abstract algebra, topology, number theory, geometry, and so on are all involved. If you are a serious devotee of musical-mathematical theory and have a very extensive background in both areas, the book will be a treasure.” (James Van Speybroeck, Computing Reviews, April, 2018)​

Table of contents (33 chapters)

Table of contents (33 chapters)
  • Extended Counterpoint Symmetries and Continuous Counterpoint

    Pages 1-7

    Agustín-Aquino, Octavio A.

  • Gödel-Vector and Gödel-Address as Tools for Genealogical Determination of Genetically-Produced Musical Variants

    Pages 9-16

    Lemos Almada, Carlos

  • A Survey of Applications of the Discrete Fourier Transform in Music Theory

    Pages 17-28

    Amiot, Emmanuel

  • Gestures on Locales and Localic Topoi

    Pages 29-39

    Arias, Juan Sebastián

  • On the Structural and the Abstract in My Compositional Work

    Pages 41-51

    Barlow, Clarence

Buy this book

eBook $89.00
price for USA in USD
  • ISBN 978-3-319-47337-6
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $169.99
price for USA in USD
Softcover $119.99
price for USA in USD
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Bibliographic Information

Bibliographic Information
Book Title
The Musical-Mathematical Mind
Book Subtitle
Patterns and Transformations
Editors
  • Gabriel Pareyon
  • Silvia Pina-Romero
  • Octavio A Agustin-Aquino
  • Emilio Lluis-Puebla
Series Title
Computational Music Science
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-47337-6
DOI
10.1007/978-3-319-47337-6
Hardcover ISBN
978-3-319-47336-9
Softcover ISBN
978-3-319-83715-4
Series ISSN
1868-0305
Edition Number
1
Number of Pages
XXIX, 345
Number of Illustrations
101 b/w illustrations, 43 illustrations in colour
Topics

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