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The Musical-Mathematical Mind

Patterns and Transformations

  • Book
  • © 2017

Overview

Editors:
  1. Gabriel Pareyon

    1. CENIDIM-INBA, Centro Nacional de las Artes (CENART), Coyoacán, Mexico

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  2. Silvia Pina-Romero

    1. División de Electrónica y Computación (CUCEI), Universidad de Guadalajara, Guadalajara, Mexico

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  3. Octavio A. Agustín-Aquino

    1. Universidad de Cañada, Teotitlan de Flores Magón, Mexico

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  4. Emilio Lluis-Puebla

    1. Departamento de Matemáticas, UNAM Facultad de Ciencias, Coyoacán, Mexico

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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

Part of the book series: Computational Music Science (CMS)

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Table of contents (33 chapters)

  1. Front Matter

    Pages i-xxix
    Download chapter PDF

  2. Extended Counterpoint Symmetries and Continuous Counterpoint

    • Octavio A. Agustín-Aquino
    Pages 1-7

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

    • Carlos de Lemos Almada
    Pages 9-16

  4. A Survey of Applications of the Discrete Fourier Transform in Music Theory

    • Emmanuel Amiot
    Pages 17-28

  5. Gestures on Locales and Localic Topoi

    • Juan Sebastián Arias
    Pages 29-39

  6. On the Structural and the Abstract in My Compositional Work

    • Clarence Barlow
    Pages 41-51

  7. A Proposal for a Music Writing for the Visually Impaired

    • Teresa Campos-Arcaraz
    Pages 53-60

  8. Group Theory for Pitch Sequence Representation: From the Obvious to the Emergent Complexity

    • Emilio Erándu Ceja-Cárdenas
    Pages 61-69

  9. Mazzola’s Escher Theorem

    • Yemile Chávez-Martínez, Emilio Lluis-Puebla
    Pages 71-78

  10. The Mechanics of Tipping Points: A Case of Extreme Elasticity in Expressive Timing

    • Elaine Chew
    Pages 79-88

  11. Lexicographic Orderings of Modes and Morphisms

    • David Clampitt
    Pages 89-97

  12. Music of Quantum Circles

    • Micho Đurđevich
    Pages 99-110

  13. Partitiogram, Mnet, Vnet and Tnet: Embedded Abstractions Inside Compositional Games

    • Pauxy Gentil-Nunes
    Pages 111-118

  14. Algebraic Combinatorics on Modes

    • Franck Jedrzejewski
    Pages 119-130

  15. Proportion, Perception, Speculation: Relationship Between Numbers and Music in the Construction of a Contemporary Pythagoreanism

    • Juan Sebastián Lach Lau
    Pages 131-141

  16. Topos Echóchromas Hórou (The Place of the Tone of Space). On the Relationship Between Geometry, Sound and Auditory Cognition

    • Jaime Alonso Lobato-Cardoso
    Pages 143-151

  17. Models and Algorithms for Music Generated by Physiological Processes

    • Jaime Alonso Lobato-Cardoso, Pablo Padilla-Longoria
    Pages 153-159

  18. Music, Expectation, and Information Theory

    • D. Gareth Loy
    Pages 161-169

  19. Gestural Dynamics in Modulation: (Towards) a Musical String Theory

    • Guerino Mazzola
    Pages 171-188

  20. Manuel M. Ponce’s Piano Sonata No. 2 (1916): An Analysis Using Signature Transformations and Spelled Heptachords

    • Mariana Montiel
    Pages 189-197
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Keywords

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)​

Editors and Affiliations

  • CENIDIM-INBA, Centro Nacional de las Artes (CENART), Coyoacán, Mexico

    Gabriel Pareyon

  • División de Electrónica y Computación (CUCEI), Universidad de Guadalajara, Guadalajara, Mexico

    Silvia Pina-Romero

  • Universidad de Cañada, Teotitlan de Flores Magón, Mexico

    Octavio A. Agustín-Aquino

  • Departamento de Matemáticas, UNAM Facultad de Ciencias, Coyoacán, Mexico

    Emilio Lluis-Puebla

Bibliographic Information

  • Book Title: The Musical-Mathematical Mind

  • Book Subtitle: Patterns and Transformations

  • Editors: Gabriel Pareyon, Silvia Pina-Romero, Octavio A. Agustín-Aquino, Emilio Lluis-Puebla

  • Series Title: Computational Music Science

  • DOI: https://doi.org/10.1007/978-3-319-47337-6

  • Publisher: Springer Cham

  • eBook Packages: Computer Science, Computer Science (R0)

  • Copyright Information: Springer International Publishing AG 2017

  • Hardcover ISBN: 978-3-319-47336-9Published: 30 October 2017

  • Softcover ISBN: 978-3-319-83715-4Published: 23 August 2018

  • eBook ISBN: 978-3-319-47337-6Published: 20 October 2017

  • Series ISSN: 1868-0305

  • Series E-ISSN: 1868-0313

  • Edition Number: 1

  • Number of Pages: XXIX, 345

  • Number of Illustrations: 101 b/w illustrations, 43 illustrations in colour

  • Topics: Computer Appl. in Arts and Humanities, Music, Mathematics in Music, Mathematics of Computing

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