Mathematics and Computation in Music

1. Front Matter

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2. Hamiltonian Cycles in the Topological Dual of the Tonnetz

   • Giovanni Albini, Samuele Antonini

   Pages 1-10

3. The Continuous Hexachordal Theorem

   • Brad Ballinger, Nadia Benbernou, Francisco Gomez, Joseph O’Rourke, Godfried Toussaint

   Pages 11-21

4. Speech Rhythms and Metric Frames

   • Fernando Benadon

   Pages 22-31

5. Temporal Patterns in Polyphony

   • Mathieu Bergeron, Darrell Conklin

   Pages 32-42

6. Maximally Smooth Diatonic Trichord Cycles

   • Steven Cannon

   Pages 43-56

7. Towards a Symbolic Approach to Sound Analysis

   • Carmine Emanuele Cella

   Pages 57-64

8. Plain and Twisted Adjoints of Well-Formed Words

   • David Clampitt, Manuel Domínguez, Thomas Noll

   Pages 65-80

9. Regions and Standard Modes

   • David Clampitt, Thomas Noll

   Pages 81-92

10. Compatibility of the Different Tuning Systems in an Orchestra

    • Alfonso del Corral, Teresa León, Vicente Liern

    Pages 93-103

11. Formal Diatonic Intervallic Notation

    • Jack Douthett, Julian Hook

    Pages 104-114

12. Determining Feature Relevance in Subject Responses to Musical Stimuli

    • Morwaread M. Farbood, Bernd Schoner

    Pages 115-129

13. Sequential Association Rules in Atonal Music

    • Aline Honingh, Tillman Weyde, Darrell Conklin

    Pages 130-138

14. Badness of Serial Fit Revisited

    • Tuukka Ilomäki

    Pages 139-145

15. Estimating the Tonalness of Transpositional Type Pitch-Class Sets Using Learned Tonal Key Spaces

    • Özgür İzmirli

    Pages 146-153

16. Musical Experiences with Block Designs

    • Franck Jedrzejewski, Moreno Andreatta, Tom Johnson

    Pages 154-165

17. A Generalisation of Diatonicism and the Discrete Fourier Transform as a Mean for Classifying and Characterising Musical Scales

    • Julien Junod, Pierre Audétat, Carlos Agon, Moreno Andreatta

    Pages 166-179

18. The Geometry of Melodic, Harmonic, and Metrical Hierarchy

    • Jason Yust

    Pages 180-192

19. A Multi-tiered Approach for Analyzing Expressive Timing in Music Performance

    • Panayotis Mavromatis

    Pages 193-204

20. HMM Analysis of Musical Structure: Identification of Latent Variables Through Topology-Sensitive Model Selection

    • Panayotis Mavromatis

    Pages 205-217

This book constitutes the refereed proceedings of the Second International Conference on Mathematics and Computation in Music, MCM 2009, held in New Haven, CT, USA, in June 2009. The 26 revised full papers presented were carefully reviewed and selected from 38 submissions. The MCM conference is the flagship conference of the Society for Mathematics and Computation in Music. The papers deal with topics within applied mathematics, computational models, mathematical modelling and various further aspects of the theory of music. This year’s conference is dedicated to the honor of John Clough whose research modeled the virtues of collaborative work across the disciplines.

• Hidden Markov Mod
• Notation
• calculus
• expressive timing
• geometry
• hamiltonian cycles
• melodic hierarchy
• metric
• metric hierarchy
• music performance
• polyphony
• sound analysis
• structure
• tonnetz
• tuning

From the reviews:

“The International Conference on Mathematics and Computation in Music (MCM) is the flagship conference of the Society of Mathematics and Computation in Music. The second of these conferences was held in 2009, at Yale University, in honor of the late John Cough, a well-known mathematical music theorist. … The topics of these papers are perennially interesting. I strongly recommend this book to scientific libraries … . The target readership is postgraduates and researchers in music analysis.” (Soubhik Chakraborty, ACM Computing Reviews, August, 2010)

• Viterbi School of Engineering, Integrated Media Systems Center, Epstein Department of Industrial and Systems Engineering, University of Southern California, Los Angeles, USA

  Elaine Chew

• Hugh Hodgson School of Music, University of Georgia, Athens, USA

  Adrian Childs

• Department of Math and Computer Science, Barry University, USA

  Ching-Hua Chuan

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