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Mathematics and Computation in Music

6th International Conference, MCM 2017, Mexico City, Mexico, June 26-29, 2017, Proceedings

  • Octavio A. Agustín-Aquino
  • Emilio Lluis-Puebla
  • Mariana Montiel
Conference proceedings MCM 2017

Part of the Lecture Notes in Computer Science book series (LNCS, volume 10527)

Also part of the Lecture Notes in Artificial Intelligence book sub series (LNAI, volume 10527)

Table of contents

  1. Front Matter
    Pages I-XI
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  2. Algebraic Models

    1. Front Matter
      Pages 1-1
      PDF
    2. Primal-Circular Substitutions
      Marcus D. Booth
      Pages 3-12
    3. On the Group of Transformations of Classical Types of Seventh Chords
      Sonia Cannas, Samuele Antonini, Ludovico Pernazza
      Pages 13-25
    4. Pairwise Well-Formed Modes and Transformations
      David Clampitt, Thomas Noll
      Pages 26-37
    5. Homometry in the Dihedral Groups: Lifting Sets from \( \mathbb {Z}_{n}\) to \( D_{n}\)
      Grégoire Genuys, Alexandre Popoff
      Pages 38-49
    6. A Symmetric Quantum Theory of Modulation in \(Z\!\!Z_{20}\)
      J. David Gómez-Téllez, Emilio Lluis-Puebla, Mariana Montiel
      Pages 50-62
    7. Almost Difference Sets in Transformational Music Theory
      Robert W. Peck
      Pages 63-75
    8. Algebra of Harmony: Transformations of Just Consonances
      Marek Žabka
      Pages 76-88

  3. Computer Assisted Performance

    1. Front Matter
      Pages 89-89
      PDF
    2. Developing Software for Dancing Tango in Compás
      Emmanuel Amiot, Jean-Philippe Lerat, Bérenger Recoules, Valérie Szabo
      Pages 91-103
    3. Using Inharmonic Strings in Musical Instruments
      Kevin Hobby, William A. Sethares, Zhenyu Zhang
      Pages 104-116
    4. Real-Time Compositional Procedures for Mediated Soloist-Ensemble Interaction: The Comprovisador
      Pedro Louzeiro
      Pages 117-131

  4. Fourier Analysis

    1. Front Matter
      Pages 133-133
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    2. Strange Symmetries
      Emmanuel Amiot
      Pages 135-150
    3. Interval Content vs. DFT
      Emmanuel Amiot
      Pages 151-166
    4. Probing Questions About Keys: Tonal Distributions Through the DFT
      Jason Yust
      Pages 167-179

  5. Gesture Theory

    1. Front Matter
      Pages 181-181
      PDF
    2. Abstract Gestures: A Unifying Concept in Mathematical Music Theory
      Juan Sebastián Arias
      Pages 183-200
    3. Mathematical Music Theory and the Musical Math Game—Two Creative Ontological Switches
      Guerino Mazzola
      Pages 201-212

  6. Graph Theory and Combinatorics

    1. Front Matter
      Pages 213-213
      PDF
    2. Hamiltonian Graphs as Harmonic Tools
      Giovanni Albini, Marco Paolo Bernardi
      Pages 215-226
    3. New Investigations on Rhythmic Oddity
      Franck Jedrzejewski
      Pages 227-237
    4. Polytopic Graph of Latent Relations
      Corentin Louboutin, Frédéric Bimbot
      Pages 238-249

  7. Machine Learning

    1. Front Matter
      Pages 251-251
      PDF
    2. Dynamic Time Warping for Automatic Musical Form Identification in Symbolical Music Files
      Cristian Bañuelos, Felipe Orduña
      Pages 253-258
    3. Identification and Evolution of Musical Style I: Hierarchical Transition Networks and Their Modular Structure
      Pablo Padilla, Francis Knights, Adrián Tonatiuh Ruiz, Dan Tidhar
      Pages 259-278
    4. A Fuzzy-Clustering Based Approach for Measuring Similarity Between Melodies
      Brian Martínez, Vicente Liern
      Pages 279-290
    5. The Evolution of Tango Harmony, 1910–1960
      Bruno Mesz, Augusto Paladino, Juan Pérgola, Pablo Amster
      Pages 291-297
    6. Determination of Compositional Systems Through Systemic Modeling
      Liduino Pitombeira
      Pages 298-311
    7. A Cluster Analysis for Mode Identification in Early Music Genres
      Daniel C. Tompkins
      Pages 312-323
    8. Cross Entropy as a Measure of Coherence and Uniqueness
      Christopher Wm. White
      Pages 324-334

  8. Probability and Statistics in Musical Analysis and Composition

    1. Front Matter
      Pages 335-335
      PDF
    2. Complementary Collections in Ligeti’s Désordre
      Clifton Callender
      Pages 337-349
    3. Probabilistic Generation of Ragtime Music from Classical Melodies
      Joel Michelson, Hong Xu, Phillip B. Kirlin
      Pages 350-360
    4. Using Probabilistic Parsers to Support Salsa Music Composition
      Brayan Rodríguez, Raúl Gutiérrez de Piñérez, Gerardo M. Sarria M.
      Pages 361-372
  9. Back Matter
    Pages 373-373
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About these proceedings

Introduction

This book constitutes the thoroughly refereed proceedings of the 6th International Conference on Mathematics and Computation in Music, MCM 2017, held in Mexico City, Mexico, in June 2017. The 26 full papers and 2 short papers presented were carefully reviewed and selected from 40 submissions. The papers feature research that combines mathematics or computation with music theory, music analysis, composition, and performance. They are organized in topical sections on algebraic models, computer assisted performance, Fourier analysis, Gesture Theory, Graph Theory and Combinatorics, Machine Learning, and Probability and Statistics in Musical Analysis and Composition.

Keywords

developing variation discrete Fourier transform geometric approaches to music hierarchical structure in music Markov model microtonal music notation music representation musical patterns musical performance theory and analysis musical scales and tuning musical similarity and contrast operations research in music post-tonal music analysis time-span tree transformation spaces music information retrieval signal processing artificial intelligence machine learning

Editors and affiliations

  1. 1.UNCA and UTMOaxacaMexico
  2. 2.UNAMMexico CityMexico
  3. 3.Georgia State UniversityAtlantaUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-71827-9
  • Copyright Information Springer International Publishing AG 2017
  • Publisher Name Springer, Cham
  • eBook Packages Computer Science
  • Print ISBN 978-3-319-71826-2
  • Online ISBN 978-3-319-71827-9
  • Series Print ISSN 0302-9743
  • Series Online ISSN 1611-3349
  • Buy this book on publisher's site