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Mathematics and Computation in Music

8th International Conference, MCM 2022, Atlanta, GA, USA, June 21–24, 2022, Proceedings

  • Conference proceedings
  • © 2022

Overview

Editors:
  1. Mariana Montiel

    1. Georgia State University, Atlanta, USA

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  2. Octavio A. Agustín-Aquino

    1. Technological University of the Mixteca, Huajuapan de León, Mexico

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  3. Francisco Gómez

    1. Universidad Politécnica de Madrid, Madrid, Spain

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  4. Jeremy Kastine

    1. Life University, Marietta, USA

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  5. Emilio Lluis-Puebla

    1. National Autonomous University of Mexico, Mexico City, Mexico

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  6. Brent Milam

    1. Georgia State University, Atlanta, USA

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Part of the book series: Lecture Notes in Computer Science (LNCS, volume 13267)

Part of the book sub series: Lecture Notes in Artificial Intelligence (LNAI)

Included in the following conference series:

Conference proceedings info: MCM 2022.

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About this book

This book constitutes the thoroughly refereed proceedings of the 8th International Conference on Mathematics and Computation in Music, MCM 2022, held in Atlanta, GA, USA, in June 2022.
The 29 full papers and 8 short papers presented were carefully reviewed and selected from 45 submissions. The papers feature research that combines mathematics or computation with music theory, music analysis, composition, and performance. They are organized in Mathematical Scale and Rhythm Theory: Combinatorial, Graph Theoretic, Group Theoretic and Transformational Approaches; Categorical and Algebraic Approaches to Music; Algorithms and Modeling for Music and Music-Related Phenomena; Applications of Mathematics to Musical Analysis; Mathematical Techniques and Microtonality

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Table of contents (37 papers)

  1. Front Matter

    Pages i-xiv
    Download chapter PDF

  2. Mathematical Scale and Rhythm Theory: Combinatorial, Graph Theoretic, Group Theoretic, and Transformational Approaches

    1. Front Matter

      Pages 1-1
      Download chapter PDF

    2. A Set-Theoretic Model of Meter and Metric Dissonance

      • Richard Cohn
      Pages 3-13

    3. New Insights on Diatonicity and Majorness

      • Franck Jedrzejewski
      Pages 14-25

    4. Parsimonious Graphs for Selected Heptatonic and Pentatonic Scales

      • Luis Nuño
      Pages 26-40

    5. An Interactive Tool for Composing (with) Automorphisms in the Colored Cube Dance

      • Alexandre Popoff, Corentin Guichaoua, Moreno Andreatta
      Pages 41-47

    6. Combinatorial Spaces

      • Robert W. Peck
      Pages 48-60

    7. Euler’s “Tentamen”: Historical and Mathematical Aspects on the Consonance Theory

      • Sonia Cannas, Maria Polo
      Pages 61-72

  3. Categorical and Algebraic Approaches to Music

    1. Front Matter

      Pages 73-73
      Download chapter PDF

    2. A Projection-Oriented Mathematical Model for Second-Species Counterpoint

      • Octavio A. Agustín-Aquino, Guerino Mazzola
      Pages 75-85

    3. When Virtual Reality Helps Fathom Mathemusical Hyperdimensional Models

      • Gilles Baroin, Stéphane de Gérando
      Pages 86-98

    4. SUM Classes and Quotient Generalized Interval Systems

      • David Orvek, David Clampitt
      Pages 99-111

    5. Extended Vuza Canons

      • Greta Lanzarotto, Ludovico Pernazza
      Pages 112-126

    6. Some Mathematical and Computational Relations Between Timbre and Color

      • Maria Mannone, Juan Sebastián Arias-Valero
      Pages 127-139

    7. Transformations for Pairwise Well-Formed Modes

      • Thomas Noll, David Clampitt
      Pages 140-152

  4. Algorithms and Modeling for Music and Music-Related Phenomena

    1. Front Matter

      Pages 153-153
      Download chapter PDF

    2. Spline Modeling of Audio Signals with Cycle Interpolation

      • Matt Klassen
      Pages 155-167

    3. Transposition and Time-Scaling Invariant Algorithm for Detecting Repeated Patterns in Polyphonic Music

      • Antti Laaksonen, Kjell Lemström, Otso Björklund
      Pages 168-179

    4. On the Memory Usage of the SIA Algorithm Family for Symbolic Music Pattern Discovery

      • Antti Laaksonen, Kjell Lemström
      Pages 180-191

    5. A Proposal to Compare the Similarity Between Musical Products. One More Step for Automated Plagiarism Detection?

      • Aarón López-García, Brian Martínez-Rodríguez, Vicente Liern
      Pages 192-204
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Other volumes

  1. Mathematics and Computation in Music

Editors and Affiliations

  • Georgia State University, Atlanta, USA

    Mariana Montiel, Brent Milam

  • Technological University of the Mixteca, Huajuapan de León, Mexico

    Octavio A. Agustín-Aquino

  • Universidad Politécnica de Madrid, Madrid, Spain

    Francisco Gómez

  • Life University, Marietta, USA

    Jeremy Kastine

  • National Autonomous University of Mexico, Mexico City, Mexico

    Emilio Lluis-Puebla

Bibliographic Information

  • Book Title: Mathematics and Computation in Music

  • Book Subtitle: 8th International Conference, MCM 2022, Atlanta, GA, USA, June 21–24, 2022, Proceedings

  • Editors: Mariana Montiel, Octavio A. Agustín-Aquino, Francisco Gómez, Jeremy Kastine, Emilio Lluis-Puebla, Brent Milam

  • Series Title: Lecture Notes in Computer Science

  • DOI: https://doi.org/10.1007/978-3-031-07015-0

  • Publisher: Springer Cham

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

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2022

  • Softcover ISBN: 978-3-031-07014-3Published: 04 June 2022

  • eBook ISBN: 978-3-031-07015-0Published: 03 June 2022

  • Series ISSN: 0302-9743

  • Series E-ISSN: 1611-3349

  • Edition Number: 1

  • Number of Pages: XIV, 411

  • Number of Illustrations: 63 b/w illustrations, 74 illustrations in colour

  • Topics: Digital Humanities, Computer Applications, Mathematics in Music, Mathematics of Computing

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