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Mathemusical Conversations cover

Mathemusical Conversations celebrates the understanding of music through mathematics, and the appreciation of mathematics through music. This volume is a compilation of the invited talks given at the Mathemusical Conversations workshop that took place in Singapore from 13–15 February 2015, organized by Elaine Chew in partnership with Gérard Assayag for the scientific program and with Bernard Lanskey for the artistic program. The contributors are world experts and leading scholars, writing on the intersection of music and mathematics. They also focus on performance and composition, two topics which are foundational both to the understanding of human creativity and to the creation of tomorrow's music technologies. This book is essential reading for researchers in both music and mathematics. It will also appeal more broadly to scholars, students, musicians, and anyone interested in new perspectives on the intimate relationship between these two universal human activities.

Sample Chapter(s)
Foreword (1,816 KB)
Without Our Consent (583 KB)


Contents:
  • Foreword by Series Editors
  • Foreword by Workshop Organizers
  • Mathemusical Engagement:
    • Without Our Consent (Paul Schoenfield)
    • Approaches to Musical Expression in Harmonix Video Games (Eran Egozy)
    • Motion and Gravitation in the Musical Spheres (Elaine Chew)
  • Mathemusical Creativity:
    • Improvising in Creative Symbolic Interaction (Gérard Assayag)
    • Music, Creativity, and Computers (Margaret A Boden)
    • Tiling Canons as a Key to Approaching Open Mathematical Conjectures? (Moreno Andreatta)
  • Shaping Performance:
    • Musical Motives in Performance: A Study of Absolute Timing Patterns (Neta Spiro, Nicolas Gold and John Rink)
    • Playing with Variables: Anticipating One Particular Performance of Bach's Goldberg Variations (Bernard Lanskey and Stephen Emmerson)
    • The Informatics Philharmonic in the Indiana University Summer String Academy (Christopher Raphael)
  • Educating the Mathemusical:
    • Mathematical Thought and Empirical Approaches in Higher Education in Music (Jian Yang)
    • Action and Symbol: An Essential Tension (Jeanne Bamberger)
    • Educating the Mathemusical: Balancing the Equation (Don McLean)
  • Geometries:
    • Graph-theoretic and Geometric Models of Music (Richard Cohn)
    • In Quest of Musical Vectors (Dmitri Tymoczko)
    • A Topological Approach of Musical Relationships (Jean-Louis Giavitto and Antoine Spicher)
  • List of Contributors

Readership: Advanced secondary school students; post-secondary school students; and scientists, mathematicians, musicians and members of the public interested in the mathematical music sciences.
Free Access
FRONT MATTER
  • Pages:i–xii

https://doi.org/10.1142/9789813140103_fmatter

Free Access
Part I: Mathemusical Engagement
  • Pages:1–3

https://doi.org/10.1142/9789813140103_others01

No Access
Without Our Consent
  • Pages:5–19

https://doi.org/10.1142/9789813140103_0001

No Access
Approaches to Musical Expression in Harmonix Video Games
  • Pages:20–36

https://doi.org/10.1142/9789813140103_0002

No Access
Motion and Gravitation in the Musical Spheres
  • Pages:37–56

https://doi.org/10.1142/9789813140103_0003

Free Access
Part II: Mathemusical Creativity
  • Pages:57–60

https://doi.org/10.1142/9789813140103_others02

No Access
Improvising in Creative Symbolic Interaction
  • Pages:61–74

https://doi.org/10.1142/9789813140103_0004

No Access
Music, Creativity, and Computers
  • Pages:75–85

https://doi.org/10.1142/9789813140103_0005

No Access
Tiling Canons as a Key to Approaching Open Mathematical Conjectures?
  • Pages:86–104

https://doi.org/10.1142/9789813140103_0006

Free Access
Part III: Shaping Performance
  • Pages:105–108

https://doi.org/10.1142/9789813140103_others03

No Access
Musical Motives in Performance: A Study of Absolute Timing Patterns
  • Pages:109–128

https://doi.org/10.1142/9789813140103_0007

No Access
Playing with Variables: Anticipating One Particular Performance of Bach's Goldberg Variations
  • Pages:129–152

https://doi.org/10.1142/9789813140103_0008

No Access
The Informatics Philharmonic in the Indiana University Summer String Academy
  • Pages:153–163

https://doi.org/10.1142/9789813140103_0009

Free Access
Part IV: Educating the Mathemusical
  • Pages:165–167

https://doi.org/10.1142/9789813140103_others04

No Access
Mathematical Thought and Empirical Approaches in Higher Education in Music
  • Pages:169–188

https://doi.org/10.1142/9789813140103_0010

No Access
Action and Symbol: An Essential Tension
  • Pages:189–207

https://doi.org/10.1142/9789813140103_0011

No Access
Educating the Mathemusical: Balancing the Equation
  • Pages:208–231

https://doi.org/10.1142/9789813140103_0012

Free Access
Part V: Geometries
  • Pages:233–235

https://doi.org/10.1142/9789813140103_others05

No Access
Graph-theoretic and Geometric Models of Music
  • Pages:237–255

https://doi.org/10.1142/9789813140103_0013

No Access
In Quest of Musical Vectors
  • Pages:256–282

https://doi.org/10.1142/9789813140103_0014

No Access
A Topological Approach of Musical Relationships
  • Pages:283–298

https://doi.org/10.1142/9789813140103_0015

Free Access
BACK MATTER
  • Pages:299–302

https://doi.org/10.1142/9789813140103_bmatter

"I would recommend this book as a general introduction to various ways in which mathematics and computation might be combined with music. The lack of requirement for prior mathematical knowledge would make it well-suited for use as teaching material for university courses in music theory or music psychology … Empirical musicologists should find that Mathemusical Conversations provides a stimulating change in perspective from the usual scientific literature, as well as suggesting some interesting potential directions for future empirical work."

Empirical Musicology Review

"The value of this book is as a document of a clearly interesting event. Those who want to know what happened at the event will get a good account from reading the book. Those who are interested in what mathematics and music might have to say to each other will find many examples here."

Musicae Scientiae

Sample Chapter(s)
Foreword (1,816 KB)
Without Our Consent (583 KB)

Supplementary Materials
Chapter 2 discusses a number of Harmonix video games and their affordances for player creativity. The following video album shows examples of gameplay for some of the games discussed.
https://vimeo.com/album/3992112

To learn more about the Mathemusical Conversations Workshop that led to this volume, please visit that workshop's webpage:
https://sites.google.com/site/mathemusicalconversations/home

There you will find useful links, including videos of all presentations, and speaker and musician biographies.