Mathematics and Computation in Music

1. Front Matter

   Pages I-XIV

   PDF

2. Notation and Representation

   1. Front Matter

      Pages 1-1

      PDF

   2. A Structural Theory of Rhythm Notation Based on Tree Representations and Term Rewriting

      • Florent Jacquemard, Pierre Donat-Bouillud, Jean Bresson

      Pages 3-15

   3. Renotation from Optical Music Recognition

      • Liang Chen, Rong Jin, Christopher Raphael

      Pages 16-26

3. Music Generation

   1. Front Matter

      Pages 27-27

      PDF

   2. Foundations for Reliable and Flexible Interactive Multimedia Scores

      • Jaime Arias, Myriam Desainte-Catherine, Carlos Olarte, Camilo Rueda

      Pages 29-41

   3. Genetic Algorithms Based on the Principles of Grundgestalt and Developing Variation

      • Carlos de Lemos Almada

      Pages 42-51

   4. Describing Global Musical Structures by Integer Programming on Musical Patterns

      • Tsubasa Tanaka, Koichi Fujii

      Pages 52-63

   5. Improved Iterative Random Walk for Four-Part Harmonization

      • Raymond Whorley, Darrell Conklin

      Pages 64-70

4. Patterns

   1. Front Matter

      Pages 71-71

      PDF

   2. Location Constraints for Repetition-Based Segmentation of Melodies

      • Marcelo E. Rodríguez-López, Anja Volk

      Pages 73-84

   3. Modeling Musical Structure with Parametric Grammars

      • Mathieu Giraud, Sławek Staworko

      Pages 85-96

   4. Perfect Balance: A Novel Principle for the Construction of Musical Scales and Meters

      • Andrew J. Milne, David Bulger, Steffen A. Herff, William A. Sethares

      Pages 97-108

   5. Characteristics of Polyphonic Music Style and Markov Model of Pitch-Class Intervals

      • Eita Nakamura, Shinji Takaki

      Pages 109-114

   6. A Corpus-Sensitive Algorithm for Automated Tonal Analysis

      • Christopher Wm. White

      Pages 115-121

   7. Finding Optimal Triadic Transformational Spaces with Dijkstra’s Shortest Path Algorithm

      • Ryan Groves

      Pages 122-127

   8. A Probabilistic Approach to Determining Bass Voice Leading in Melodic Harmonisation

      • Dimos Makris, Maximos Kaliakatsos-Papakostas, Emilios Cambouropoulos

      Pages 128-134

5. Performance

   1. Front Matter

      Pages 135-135

      PDF

   2. Hypergestures in Complex Time: Creative Performance Between Symbolic and Physical Reality

      • Maria Mannone, Guerino Mazzola

      Pages 137-148

   3. Generating Fingerings for Polyphonic Piano Music with a Tabu Search Algorithm

      • Matteo Balliauw, Dorien Herremans, Daniel Palhazi Cuervo, Kenneth Sörensen

      Pages 149-160

This book constitutes the thoroughly refereed proceedings of the 5th International Conference on Mathematics and Computation in Music, MCM 2015, held in London, UK, in June 2015. The 24 full papers and 14 short papers presented were carefully reviewed and selected from 64 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 notation and representation, music generation, patterns, performance, similarity and contrast, post-tonal music analysis, geometric approaches, deep learning, and scales.

• Developing variation
• Discrete Fourier transform
• Geometrics approaches to music
• Hierarchical structure in music
• Markov model
• Microtonal
• Music notation and 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
• Transformational spaces
• data structures

• De Montfort University, Leicester, United Kingdom

  Tom Collins

• Aalborg University, Aalborg, Denmark

  David Meredith

• Utrecht University, Utrecht, The Netherlands

  Anja Volk

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