© 2017

The Musical-Mathematical Mind

Patterns and Transformations

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

Part of the Computational Music Science book series (CMS)

Table of contents

  1. Front Matter
    Pages i-xxix
  2. Juan Sebastián Arias
    Pages 29-39
  3. Yemile Chávez-Martínez, Emilio Lluis-Puebla
    Pages 71-78
  4. Micho Đurđevich
    Pages 99-110
  5. Franck Jedrzejewski
    Pages 119-130
  6. Jaime Alonso Lobato-Cardoso, Pablo Padilla-Longoria
    Pages 153-159
  7. D. Gareth Loy
    Pages 161-169

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.


Counterpoint Music Theory Gesture Theory Improvisation Algorithmic Music Automated Composition Systems Musical Morphologies Topos Theory

Editors and affiliations

  • Gabriel Pareyon
    • 1
  • Silvia Pina-Romero
    • 2
  • Octavio A. Agustín-Aquino
    • 3
  • Emilio Lluis-Puebla
    • 4
  1. 1.CENIDIM-INBACentro Nacional de las Artes (CENART)CoyoacánMexico
  2. 2.División de Electrónica y Computación (CUCEI)Universidad de GuadalajaraGuadalajaraMexico
  3. 3.Universidad de CañadaTeotitlan de Flores MagónMexico
  4. 4.Departamento de MatemáticasUNAM Facultad de CienciasCoyoacánMexico

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
  • Series Abbreviated Title Computational Music Science
  • DOI
  • Copyright Information Springer International Publishing AG 2017
  • Publisher Name Springer, Cham
  • eBook Packages Computer Science Computer Science (R0)
  • Hardcover ISBN 978-3-319-47336-9
  • Softcover ISBN 978-3-319-83715-4
  • eBook ISBN 978-3-319-47337-6
  • 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
    Mathematics in Music
    Mathematics of Computing
  • Buy this book on publisher's site


“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)​