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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 Primal-Circular Substitutions
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    Chapter 2 On the Group of Transformations of Classical Types of Seventh Chords
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    Chapter 3 Pairwise Well-Formed Modes and Transformations
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    Chapter 4 Homometry in the Dihedral Groups: Lifting Sets from $$ \mathbb {Z}_{n}$$ Z n to $$ D_{n}$$ D n
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    Chapter 5 A Symmetric Quantum Theory of Modulation in $$Z\!\!Z_{20}$$ Z Z 20
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    Chapter 6 Almost Difference Sets in Transformational Music Theory
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    Chapter 7 Algebra of Harmony: Transformations of Just Consonances
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    Chapter 8 Developing Software for Dancing Tango in Compás
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    Chapter 9 Using Inharmonic Strings in Musical Instruments
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    Chapter 10 Real-Time Compositional Procedures for Mediated Soloist-Ensemble Interaction: The Comprovisador
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    Chapter 11 Strange Symmetries
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    Chapter 12 Interval Content vs. DFT
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    Chapter 13 Probing Questions About Keys: Tonal Distributions Through the DFT
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    Chapter 14 Abstract Gestures: A Unifying Concept in Mathematical Music Theory
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    Chapter 15 Mathematical Music Theory and the Musical Math Game—Two Creative Ontological Switches
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    Chapter 16 Hamiltonian Graphs as Harmonic Tools
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    Chapter 17 New Investigations on Rhythmic Oddity
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    Chapter 18 Polytopic Graph of Latent Relations
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    Chapter 19 Dynamic Time Warping for Automatic Musical Form Identification in Symbolical Music Files
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    Chapter 20 Identification and Evolution of Musical Style I: Hierarchical Transition Networks and Their Modular Structure
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    Chapter 21 A Fuzzy-Clustering Based Approach for Measuring Similarity Between Melodies
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    Chapter 22 The Evolution of Tango Harmony, 1910–1960
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    Chapter 23 Determination of Compositional Systems Through Systemic Modeling
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    Chapter 24 A Cluster Analysis for Mode Identification in Early Music Genres
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    Chapter 25 Cross Entropy as a Measure of Coherence and Uniqueness
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    Chapter 26 Complementary Collections in Ligeti’s Désordre
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    Chapter 27 Probabilistic Generation of Ragtime Music from Classical Melodies
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    Chapter 28 Using Probabilistic Parsers to Support Salsa Music Composition
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Mathematics and Computation in Music
Published by
Springer International Publishing, January 2017
DOI 10.1007/978-3-319-71827-9
978-3-31-971827-9, 978-3-31-971826-2

Octavio A. Agustín-Aquino, Emilio Lluis-Puebla, Mariana Montiel

Twitter Demographics

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Mendeley readers

The data shown below were compiled from readership statistics for 4 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 4 100%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 1 25%
Student > Bachelor 1 25%
Student > Master 1 25%
Unknown 1 25%
Readers by discipline Count As %
Arts and Humanities 2 50%
Computer Science 2 50%