Mathematics and Computation in Music

Hamiltonian Cycles in the Topological Dual of the Tonnetz.- The Continuous Hexachordal Theorem.- Speech Rhythms and Metric Frames.- Temporal Patterns in Polyphony.- Maximally Smooth Diatonic Trichord Cycles.- Towards a Symbolic Approach to Sound Analysis.- Plain and Twisted Adjoints of Well-Formed Words.- Regions and Standard Modes.- Compatibility of the Different Tuning Systems in an Orchestra.- Formal Diatonic Intervallic Notation.- Determining Feature Relevance in Subject Responses to Musical Stimuli.- Sequential Association Rules in Atonal Music.- Badness of Serial Fit Revisited.- Estimating the Tonalness of Transpositional Type Pitch-Class Sets Using Learned Tonal Key Spaces.- Musical Experiences with Block Designs.- A Generalisation of Diatonicism and the Discrete Fourier Transform as a Mean for Classifying and Characterising Musical Scales.- The Geometry of Melodic, Harmonic, and Metrical Hierarchy.- A Multi-tiered Approach for Analyzing Expressive Timing in Music Performance.- HMM Analysis of Musical Structure: Identification of Latent Variables Through Topology-Sensitive Model Selection.- A Declarative Language for Dynamic Multimedia Interaction Systems.- Generalized Voice Exchange.- Representing and Estimating Musical Expression in Melody.- Evaluating Tonal Distances between Pitch-Class Sets and Predicting Their Tonal Centres by Computational Models.- Three Conceptions of Musical Distance.- Pairwise Well-Formed Scales and a Bestiary of Animals on the Hexagonal Lattice.- Generalized Tonnetz and Well-Formed GTS: A Scale Theory Inspired by the Neo-Riemannians.

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)