Ebook: Mathematics and Computation in Music: Third International Conference, MCM 2011, Paris, France, June 15-17, 2011. Proceedings

This book constitutes the refereed proceedings of the Third International Conference on Mathematics and Computation in Music, MCM 2011, held in Paris, France, in June 2011. The 24 revised full papers presented and the 12 short papers were carefully reviewed and selected from 62 submissions. The MCM conference is the flagship conference of the Society for Mathematics and Computation in Music. This year’s conference aimed to provide a multi-disciplinary platform dedicated to the communication and exchange of ideas amongst researchers involved in mathematics, computer science, music theory, composition, musicology, or other related disciplines. Areas covered were formalization and geometrical representation of musical structures and processes; mathematical models for music improvisation and gestures theory; set-theoretical and transformational approaches; computational analysis and cognitive musicology as well as more general discussions on history, philosophy and epistemology of music and mathematics.

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This book constitutes the refereed proceedings of the Third International Conference on Mathematics and Computation in Music, MCM 2011, held in Paris, France, in June 2011. The 24 revised full papers presented and the 12 short papers were carefully reviewed and selected from 62 submissions. The MCM conference is the flagship conference of the Society for Mathematics and Computation in Music. This year’s conference aimed to provide a multi-disciplinary platform dedicated to the communication and exchange of ideas amongst researchers involved in mathematics, computer science, music theory, composition, musicology, or other related disciplines. Areas covered were formalization and geometrical representation of musical structures and processes; mathematical models for music improvisation and gestures theory; set-theoretical and transformational approaches; computational analysis and cognitive musicology as well as more general discussions on history, philosophy and epistemology of music and mathematics.

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This book constitutes the refereed proceedings of the Third International Conference on Mathematics and Computation in Music, MCM 2011, held in Paris, France, in June 2011. The 24 revised full papers presented and the 12 short papers were carefully reviewed and selected from 62 submissions. The MCM conference is the flagship conference of the Society for Mathematics and Computation in Music. This year’s conference aimed to provide a multi-disciplinary platform dedicated to the communication and exchange of ideas amongst researchers involved in mathematics, computer science, music theory, composition, musicology, or other related disciplines. Areas covered were formalization and geometrical representation of musical structures and processes; mathematical models for music improvisation and gestures theory; set-theoretical and transformational approaches; computational analysis and cognitive musicology as well as more general discussions on history, philosophy and epistemology of music and mathematics.
Content:
Front Matter....Pages -
Subsumption of Vertical Viewpoint Patterns....Pages 1-12
Building Topological Spaces for Musical Objects....Pages 13-28
A Model for Collective Free Improvisation....Pages 29-41
Sensitive Interval Property for Scales as Words in the Free Group F2....Pages 42-55
Commuting Groups and the Topos of Triads....Pages 56-68
Spelled Heptachords....Pages 69-83
Fundamental Passacaglia: Harmonic Functions and the Modes of the Musical Tetractys....Pages 84-97
Musical Tonality, Neural Resonance and Hebbian Learning....Pages 98-114
Interval Cycles, Affinity Spaces, and Transpositional Networks....Pages 115-125
Two-Dimensional Visual Inspection of Pitch-Space, Many Time-Scales and Tonal Uncertainty over Time....Pages 126-139
Musical Composition and Gestural Diagrams....Pages 140-150
Tonal Scales and Minimal Simple Pitch Class Cycles....Pages 151-164
Scratching the Scale Labyrinth....Pages 165-179
Cardinality Transformations in Diatonic Space....Pages 180-195
Indeterminate Music and Probability Spaces: The Case of John Cage’s Number Pieces....Pages 196-206
Voice-Leading Prototypes and Harmonic Function in Two Chorale Corpora....Pages 207-219
Emergent Formal Structures of Factor Oracle-Driven Musical Improvisations....Pages 220-229
Exploding the Monochord: An Intuitive Spatial Representation of Microtonal Relational Structures....Pages 230-240
Music between Hearing and Counting (A Historical Case Chosen within Continuous Long-Lasting Conflicts)....Pages 241-254
Mazzola’s Model of Fuxian Counterpoint....Pages 255-269
Introduction to Scale Theory over Words in Two Dimensions....Pages 270-284
The Planet-4D Model: An Original Hypersymmetric Music Space Based on Graph Theory....Pages 285-296
Motivic Topologies: Mathematical and Computational Modelling in Music Analysis....Pages 297-310
Exploring Rameau and Beyond: A Corpus Study of Root Progression Theories....Pages 311-325
Melodic Morphing Algorithm in Formalism....Pages 326-329
From 2D to 3D: Using Geometry and Group Theory to Model Motivic Structure in Musical Composition....Pages 330-333
Clustering and Classification of Music by Interval Categories....Pages 334-337
Plactic Classification of Modes....Pages 338-341
Feature Extraction Using Pitch Class Profile Information Entropy....Pages 342-345
Catastrophe Theory: An Enhanced Structural and Ontological Space in Music Composition....Pages 346-349
Enriched Score Access for Computer Assisted Composition in PWGL....Pages 350-353
Historical Development of Tonal Syntax: Counting Pitch-Class Sets in 13th-16th Century Polyphonic Vocal Music....Pages 354-357
Surveying Musical Form through Melodic-Motivic Similarities....Pages 358-361
Back Matter....Pages 362-365
....Pages 366-369