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Mathematics and Computation in Music

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Cover of 'Mathematics and Computation in Music'

Table of Contents

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    Book Overview
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    Chapter 1 The Torii of Phases
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    Chapter 2 Towards a Categorical Theory of Creativity for Music, Discourse, and Cognition
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    Chapter 3 Computation and Visualization of Musical Structures in Chord-Based Simplicial Complexes
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    Chapter 4 Compositional Data Analysis of Harmonic Structures in Popular Music
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    Chapter 5 Sturmian Canons
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    Chapter 6 Conceptual and Experiential Representations of Tempo: Effects on Expressive Performance Comparisons
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    Chapter 7 Maximal Translational Equivalence Classes of Musical Patterns in Point-Set Representations
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    Chapter 8 Incorporating Voice Permutations into the Theory of Neo-Riemannian Groups and Lewinian Duality
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    Chapter 9 Key Induction and Key Mapping Using Pitch-Class Set Assertions
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    Chapter 10 The Structure of Z-Related Sets
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    Chapter 11 Hypergesture Homology for Performance Stemmata with Lie Operators
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    Chapter 12 Glarean’s Dodecachordon Revisited
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    Chapter 13 Effects of Temporal Position on Harmonic Succession in the Bach Chorale Corpus
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    Chapter 14 A Hypercube-Graph Model for n -Tone Rows and Relations
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    Chapter 15 Using Formal Concept Analysisto Represent Chroma Systems
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    Chapter 16 An Alphabet-Reduction Algorithm for Chordal n -Grams
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    Chapter 17 Evaluation of n -Gram-Based Classification Approaches on Classical Music Corpora
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    Chapter 18 The Minkowski Geometry of Numbers Applied to the Theory of Tone Systems
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Title
Mathematics and Computation in Music
Published by
Springer Berlin Heidelberg, June 2013
DOI 10.1007/978-3-642-39357-0
ISBNs
978-3-64-239356-3, 978-3-64-239357-0
Editors

Yust, Jason, Wild, Jonathan, Burgoyne, John Ashley

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