Mathematics and Computation in Music: 6th International Conference, MCM 2017, Mexico City, Mexico, June 26-29, 2017, Proceedings (Lecture Notes in Computer Science Book 10527)

Annotation 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 Front Matter ....Pages I-XI Front Matter ....Pages 1-1 Primal-Circular Substitutions (Marcus D. Booth)....Pages 3-12 On the Group of Transformations of Classical Types of Seventh Chords (Sonia Cannas, Samuele Antonini, Ludovico Pernazza)....Pages 13-25 Pairwise Well-Formed Modes and Transformations (David Clampitt, Thomas Noll)....Pages 26-37 Homometry in the Dihedral Groups: Lifting Sets from \( \mathbb {Z}_{n}\) to \( D_{n}\) (Grégoire Genuys, Alexandre Popoff)....Pages 38-49 A Symmetric Quantum Theory of Modulation in \(Z\!\!Z_{20}\) (J. David Gómez-Téllez, Emilio Lluis-Puebla, Mariana Montiel)....Pages 50-62 Almost Difference Sets in Transformational Music Theory (Robert W. Peck)....Pages 63-75 Algebra of Harmony: Transformations of Just Consonances (Marek Žabka)....Pages 76-88 Front Matter ....Pages 89-89 Developing Software for Dancing Tango in Compás (Emmanuel Amiot, Jean-Philippe Lerat, Bérenger Recoules, Valérie Szabo)....Pages 91-103 Using Inharmonic Strings in Musical Instruments (Kevin Hobby, William A. Sethares, Zhenyu Zhang)....Pages 104-116 Real-Time Compositional Procedures for Mediated Soloist-Ensemble Interaction: The Comprovisador (Pedro Louzeiro)....Pages 117-131 Front Matter ....Pages 133-133 Strange Symmetries (Emmanuel Amiot)....Pages 135-150 Interval Content vs. DFT (Emmanuel Amiot)....Pages 151-166 Probing Questions About Keys: Tonal Distributions Through the DFT (Jason Yust)....Pages 167-179 Front Matter ....Pages 181-181 Abstract Gestures: A Unifying Concept in Mathematical Music Theory (Juan Sebastián Arias)....Pages 183-200 Mathematical Music Theory and the Musical Math Game—Two Creative Ontological Switches (Guerino Mazzola)....Pages 201-212 Front Matter ....Pages 213-213 Hamiltonian Graphs as Harmonic Tools (Giovanni Albini, Marco Paolo Bernardi)....Pages 215-226 New Investigations on Rhythmic Oddity (Franck Jedrzejewski)....Pages 227-237 Polytopic Graph of Latent Relations (Corentin Louboutin, Frédéric Bimbot)....Pages 238-249 Front Matter ....Pages 251-251 Dynamic Time Warping for Automatic Musical Form Identification in Symbolical Music Files (Cristian Bañuelos, Felipe Orduña)....Pages 253-258 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 A Fuzzy-Clustering Based Approach for Measuring Similarity Between Melodies (Brian Martínez, Vicente Liern)....Pages 279-290 The Evolution of Tango Harmony, 1910–1960 (Bruno Mesz, Augusto Paladino, Juan Pérgola, Pablo Amster)....Pages 291-297 Determination of Compositional Systems Through Systemic Modeling (Liduino Pitombeira)....Pages 298-311 A Cluster Analysis for Mode Identification in Early Music Genres (Daniel C. Tompkins)....Pages 312-323 Cross Entropy as a Measure of Coherence and Uniqueness (Christopher Wm. White)....Pages 324-334 Front Matter ....Pages 335-335 Complementary Collections in Ligeti’s Désordre (Clifton Callender)....Pages 337-349 Probabilistic Generation of Ragtime Music from Classical Melodies (Joel Michelson, Hong Xu, Phillip B. Kirlin)....Pages 350-360 Using Probabilistic Parsers to Support Salsa Music Composition (Brayan Rodríguez, Raúl Gutiérrez de Piñérez, Gerardo M. Sarria M.)....Pages 361-372 Back Matter ....Pages 373-373