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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 Subsumption of Vertical Viewpoint Patterns
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    Chapter 2 Building Topological Spaces for Musical Objects
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    Chapter 3 A Model for Collective Free Improvisation
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    Chapter 4 On a Class of Locally Symmetric Sequences: The Right Infinite Word Λ θ
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    Chapter 5 Sensitive Interval Property for Scales as Words in the Free Group F2
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    Chapter 6 Commuting Groups and the Topos of Triads
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    Chapter 7 Spelled Heptachords
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    Chapter 8 Fundamental Passacaglia: Harmonic Functions and the Modes of the Musical Tetractys
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    Chapter 9 Musical Tonality, Neural Resonance and Hebbian Learning
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    Chapter 10 Interval Cycles, Affinity Spaces, and Transpositional Networks
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    Chapter 11 Two-Dimensional Visual Inspection of Pitch-Space, Many Time-Scales and Tonal Uncertainty over Time
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    Chapter 12 Musical Composition and Gestural Diagrams
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    Chapter 13 Tonal Scales and Minimal Simple Pitch Class Cycles
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    Chapter 14 Scratching the Scale Labyrinth
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    Chapter 15 N th Roots of Pitch-Class Inversion
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    Chapter 16 Cardinality Transformations in Diatonic Space
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    Chapter 17 Indeterminate Music and Probability Spaces: The Case of John Cage’s Number Pieces
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    Chapter 18 Voice-Leading Prototypes and Harmonic Function in Two Chorale Corpora
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    Chapter 19 Emergent Formal Structures of Factor Oracle-Driven Musical Improvisations
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    Chapter 20 Open Form and Two Combinatorial Musical Models: The Cases of Domaines and Duel
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    Chapter 21 Exploding the Monochord: An Intuitive Spatial Representation of Microtonal Relational Structures
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    Chapter 22 Music between Hearing and Counting (A Historical Case Chosen within Continuous Long-Lasting Conflicts)
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    Chapter 23 Mazzola’s Model of Fuxian Counterpoint
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    Chapter 24 Introduction to Scale Theory over Words in Two Dimensions
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    Chapter 25 The Planet-4D Model: An Original Hypersymmetric Music Space Based on Graph Theory
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    Chapter 26 Motivic Topologies: Mathematical and Computational Modelling in Music Analysis
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    Chapter 27 Exploring Rameau and Beyond: A Corpus Study of Root Progression Theories
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    Chapter 28 Melodic Morphing Algorithm in Formalism
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    Chapter 29 From 2D to 3D: Using Geometry and Group Theory to Model Motivic Structure in Musical Composition
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    Chapter 30 Clustering and Classification of Music by Interval Categories
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    Chapter 31 Plactic Classification of Modes
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    Chapter 32 Feature Extraction Using Pitch Class Profile Information Entropy
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    Chapter 33 Catastrophe Theory: An Enhanced Structural and Ontological Space in Music Composition
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    Chapter 34 Enriched Score Access for Computer Assisted Composition in PWGL
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    Chapter 35 Historical Development of Tonal Syntax: Counting Pitch-Class Sets in 13th-16th Century Polyphonic Vocal Music
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    Chapter 36 Surveying Musical Form through Melodic-Motivic Similarities
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Title
Mathematics and Computation in Music
Published by
Springer Science & Business Media, June 2011
DOI 10.1007/978-3-642-21590-2
ISBNs
978-3-64-221589-6, 978-3-64-221590-2
Editors

Carlos Agon, Moreno Andreatta, Gérard Assayag, Emmanuel Amiot, Jean Bresson, John Mandereau

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The data shown below were compiled from readership statistics for 1 Mendeley reader of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 1 100%

Demographic breakdown

Readers by professional status Count As %
Student > Postgraduate 1 100%
Readers by discipline Count As %
Mathematics 1 100%