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.
Author(s): Elaine Chew, Adrian Childs, Ching-Hua Chuan
Edition: 1
Year: 2009
Language: English
Pages: 316
Cover......Page 1
Mathematics and Computation in Music: Proceedings......Page 4
Copyright - ISBN: 9783642023934......Page 5
Preface......Page 6
Organization......Page 8
Foreword: In Celebration of Clough’s Collaborative Cerebration......Page 12
Table of Contents......Page 16
Hamiltonian Cycles in the Topological Dual of the Tonnetz......Page 18
The Continuous Hexachordal Theorem......Page 28
Speech Rhythms and Metric Frames......Page 39
Temporal Patterns in Polyphony......Page 49
Maximally Smooth Diatonic Trichord Cycles......Page 60
Towards a Symbolic Approach to Sound Analysis......Page 74
Plain and Twisted Adjoints of Well-Formed Words......Page 82
Regions and Standard Modes......Page 98
Compatibility of the Different Tuning Systems in an Orchestra......Page 110
Formal Diatonic Intervallic Notation......Page 121
Determining Feature Relevance in Subject Responses to Musical Stimuli......Page 132
Sequential Association Rules in Atonal Music......Page 147
Badness of Serial Fit Revisited......Page 156
Estimating the Tonalness of Transpositional Type Pitch-Class Sets Using Learned Tonal Key Spaces......Page 163
Musical Experiences with Block Designs......Page 171
A Generalisation of Diatonicism and the Discrete Fourier Transform as a Mean for Classifying and Characterising Musical Scales......Page 183
The Geometry of Melodic, Harmonic, and Metrical Hierarchy......Page 197
A Multi-tiered Approach for Analyzing Expressive Timing in Music Performance......Page 210
HMM Analysis of Musical Structure: Identification of Latent Variables Through Topology-Sensitive Model Selection......Page 222
A Declarative Language for Dynamic Multimedia Interaction Systems......Page 235
Generalized Voice Exchange......Page 245
Representing and Estimating Musical Expression in Melody......Page 253
Evaluating Tonal Distances between Pitch-Class Sets and Predicting Their Tonal Centres by Computational Models......Page 262
Three Conceptions of Musical Distance......Page 275
Pairwise Well-Formed Scales and a Bestiary of Animals on the Hexagonal Lattice......Page 290
Generalized Tonnetz and Well-Formed GTS: A Scale Theory Inspired by the Neo-Riemannians......Page 303
Author Index......Page 316
