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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 Contrapuntal Aspects of the Mystic Chord and Scriabin’s Piano Sonata No. 5
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    Chapter 2 ComMute—Towards a Computational Musical Theory of Everything
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    Chapter 3 Groupoids and Wreath Products of Musical Transformations: A Categorical Approach from poly-Klumpenhouwer Networks
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    Chapter 4 Fourier Phase and Pitch-Class Sum
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    Chapter 6 Tropical Generalized Interval Systems
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    Chapter 7 Shall We (Math and) Dance?
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    Chapter 8 Decontextualizing Contextual Inversion
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    Chapter 9 From Schritte and Wechsel to Coxeter Groups
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    Chapter 11 Embedded Structural Modes: Unifying Scale Degrees and Harmonic Functions
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    Chapter 12 Non-Contextual JQZ Transformations
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    Chapter 13 The Hierarchy of Rameau Groups
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    Chapter 14 Distant Neighbors and Interscalar Contiguities
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    Chapter 18 Synesthesizer: Physical Modelling and Machine Learning for a Color-Based Synthesizer in Virtual Reality
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    Chapter 21 Reinterpreting and Extending Anatol Vieru’s Periodic Sequences Through the Cellular Automata Formalisms
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    Chapter 23 Autocorrelation of Pitch-Event Vectors in Meter Finding
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    Chapter 27 Visualizing Temperaments: Squaring the Circle?
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    Chapter 30 Formalization of Voice-Leadings and the Nabla Algorithm
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    Chapter 31 Computational Music Therapy
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    Chapter 32 Insiders’ Choice: Studying Pitch Class Sets Through Their Discrete Fourier Transformations
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