Mathematics and Computation in Music: 7th International Conference, MCM 2019, Madrid, Spain, June 18–21, 2019, Proceedings
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This book constitutes the thoroughly refereed proceedings of the 7th International Conference on Mathematics and Computation in Music, MCM 2019, held in Madrid, Spain, in June 2019. The 22 full papers and 10 short papers presented were carefully reviewed and selected from 48 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 and other abstract mathematical approaches to understanding musical objects; remanaging Riemann: mathematical music theory as “experimental philosophy”?; octave division; computer-based approaches to composition and score structuring; models for music cognition and beat tracking; pedagogy of mathematical music theory. Front Matter ....Pages i-xii Front Matter ....Pages 1-1 Contrapuntal Aspects of the Mystic Chord and Scriabin’s Piano Sonata No. 5 (Octavio A. Agustín-Aquino, Guerino Mazzola)....Pages 3-20 ComMute—Towards a Computational Musical Theory of Everything (Guerino Mazzola)....Pages 21-30 Front Matter ....Pages 31-31 Groupoids and Wreath Products of Musical Transformations: A Categorical Approach from poly-Klumpenhouwer Networks (Alexandre Popoff, Moreno Andreatta, Andrée Ehresmann)....Pages 33-45 Fourier Phase and Pitch-Class Sum (Dmitri Tymoczko, Jason Yust)....Pages 46-58 Categories, Musical Instruments, and Drawings: A Unification Dream (Maria Mannone, Federico Favali)....Pages 59-72 Tropical Generalized Interval Systems (Giovanni Albini, Marco Paolo Bernardi)....Pages 73-83 Shall We (Math and) Dance? (Maria Mannone, Luca Turchet)....Pages 84-97 Front Matter ....Pages 99-99 Decontextualizing Contextual Inversion (Jason Yust)....Pages 101-112 From Schritte and Wechsel to Coxeter Groups (Markus Schmidmeier)....Pages 113-124 Exploring the Syntonic Side of Major-Minor Tonality (Thomas Noll, David Clampitt)....Pages 125-136 Embedded Structural Modes: Unifying Scale Degrees and Harmonic Functions (Thomas Noll, Karst De Jong)....Pages 137-148 Non-Contextual JQZ Transformations (Franck Jedrzejewski)....Pages 149-160 The Hierarchy of Rameau Groups (Franck Jedrzejewski)....Pages 161-171 Distant Neighbors and Interscalar Contiguities (Daniel Harasim, Thomas Noll, Martin Rohrmeier)....Pages 172-184 Constraint-Based Systems of Triads and Seventh Chords, and Parsimonious Voice-Leading (Matt Klassen)....Pages 185-198 Front Matter ....Pages 199-199 Distributional Analysis of n-Dimensional Feature Space for 7-Note Scales in 22-TET (Gareth M. Hearne, Andrew J. Milne, Roger T. Dean)....Pages 201-212 Filtration of Pitch-Class Sets Complexes (Louis Bigo, Moreno Andreatta)....Pages 213-226 Front Matter ....Pages 227-227 Synesthesizer: Physical Modelling and Machine Learning for a Color-Based Synthesizer in Virtual Reality (Giovanni Santini)....Pages 229-235 Mercury\(^\mathrm{\textregistered }\): A Software Based on Fuzzy Clustering for Computer-Assisted Composition (Brian Martínez–Rodríguez, Vicente Liern)....Pages 236-247 A Parse-Based Framework for Coupled Rhythm Quantization and Score Structuring (Francesco Foscarin, Florent Jacquemard, Philippe Rigaux, Masahiko Sakai)....Pages 248-260 Reinterpreting and Extending Anatol Vieru’s Periodic Sequences Through the Cellular Automata Formalisms (Paul Lanthier, Corentin Guichaoua, Moreno Andreatta)....Pages 261-272 Front Matter ....Pages 273-273 Surprisal, Liking, and Musical Affect (Noah R. Fram)....Pages 275-286 Autocorrelation of Pitch-Event Vectors in Meter Finding (Christopher Wm. White)....Pages 287-296 The Envelopes of Consonant Intervals and Chords in Just Intonation and Equal Temperament (Luis Nuño)....Pages 297-308 Maximally Even Tilings (Jeremy Kastine)....Pages 309-321 Front Matter ....Pages 323-323 Distributed Vector Representations of Folksong Motifs (Aitor Arronte Alvarez, Francisco Gómez-Martin)....Pages 325-332 Visualizing Temperaments: Squaring the Circle? (Gilles Baroin, André Calvet)....Pages 333-337 Music Corpus Analysis Using Unwords (Darrell Conklin)....Pages 338-343 Maths, Computation and Flamenco: Overview and Challenges (José-Miguel Díaz-Báñez, Nadine Kroher)....Pages 344-351 Formalization of Voice-Leadings and the Nabla Algorithm (Isaac del Pozo, Francisco Gómez)....Pages 352-358 Computational Music Therapy (Billie Sandak, Avi Mazor, Amichay Asis, Avi Gilboa, David Harel)....Pages 359-368 Front Matter ....Pages 369-369 Insiders’ Choice: Studying Pitch Class Sets Through Their Discrete Fourier Transformations (Thomas Noll)....Pages 371-378 Have Fun with Math and Music! (Maria Mannone)....Pages 379-382 Teaching Music with Mathematics: A Pilot Study (Andrew J. Milne, Andrea M. Calilhanna)....Pages 383-389 Integrated Music and Math Projects in Secondary Education (Miguel R. Wilhelmi, Mariana Montiel)....Pages 390-393 “Concerférences”: of Music and Maths, for the Audience’s Delight (Emmanuel Amiot)....Pages 394-398 Correction to: Mathematics and Computation in Music (Mariana Montiel, Francisco Gomez-Martin, Octavio A. Agustín-Aquino)....Pages C1-C1 Back Matter ....Pages 399-399
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