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Mathematics and Computation in Music

Overview of attention for book
Cover of 'Mathematics and Computation in Music'

Table of Contents

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    Book Overview
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    Chapter 1 A Set-Theoretic Model of Meter and Metric Dissonance
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    Chapter 2 New Insights on Diatonicity and Majorness
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    Chapter 3 Parsimonious Graphs for Selected Heptatonic and Pentatonic Scales
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    Chapter 4 An Interactive Tool for Composing (with) Automorphisms in the Colored Cube Dance
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    Chapter 5 Combinatorial Spaces
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    Chapter 6 Euler’s “Tentamen”: Historical and Mathematical Aspects on the Consonance Theory
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    Chapter 7 A Projection-Oriented Mathematical Model for Second-Species Counterpoint
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    Chapter 8 When Virtual Reality Helps Fathom Mathemusical Hyperdimensional Models
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    Chapter 9 SUM Classes and Quotient Generalized Interval Systems
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    Chapter 10 Extended Vuza Canons
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    Chapter 11 Some Mathematical and Computational Relations Between Timbre and Color
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    Chapter 12 Transformations for Pairwise Well-Formed Modes
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    Chapter 13 Spline Modeling of Audio Signals with Cycle Interpolation
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    Chapter 14 Transposition and Time-Scaling Invariant Algorithm for Detecting Repeated Patterns in Polyphonic Music
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    Chapter 15 On the Memory Usage of the SIA Algorithm Family for Symbolic Music Pattern Discovery
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    Chapter 16 A Proposal to Compare the Similarity Between Musical Products. One More Step for Automated Plagiarism Detection?
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    Chapter 17 A New Fitness Function for Evolutionary Music Composition
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    Chapter 18 A Mathematical Model of Tonal Function (I): Voice Leadings
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    Chapter 19 A Mathematical Model of Tonal Function (II): Modulation
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    Chapter 20 Hypercube + Rubik’s Cube + Music = HyperCubeHarmonic
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    Chapter 21 Mathematical Morphology Operators for Harmonic Analysis
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    Chapter 22 Computational Analysis of Musical Structures Based on Morphological Filters
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    Chapter 23 Non-spectral Transposition-Invariant Information in Pitch-Class Sets and Distributions
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    Chapter 24 Tetrachordal Folding Operations
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    Chapter 25 Continuous Chromagrams and Pseudometric Spaces of Sound Spectra
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    Chapter 26 N2D3P9
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    Chapter 27 Performing Easley Blackwood’s Twelve Microtonal Etudes : An Open-Source Software Development Project
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    Chapter 28 Identifying Metric Types with Optimized DFT and Autocorrelation Models
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    Chapter 29 Persistent Homology on Musical Bars
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    Chapter 30 Formal Structures of a Harmony in the Parabola
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    Chapter 31 midiVERTO: A Web Application to Visualize Tonality in Real Time
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    Chapter 32 Quantum-Musical Explorations on $$\mathbb {Z}_n$$ Z n
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    Chapter 33 The Mystery of Anatol Vieru’s Periodic Sequences Unveiled
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    Chapter 34 Benford’s Law and Music Note Frequencies
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    Chapter 35 Altered Chord Alternatives
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    Chapter 36 Information Synthesis of Time-Geometry QCurve for Music Retrieval
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    Chapter 37 Investigating Style with Scale Embeddings
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Title
Mathematics and Computation in Music
Published by
Springer International Publishing, July 2022
DOI 10.1007/978-3-031-07015-0
ISBNs
978-3-03-107014-3, 978-3-03-107015-0
Editors

Montiel, Mariana, Agustín-Aquino, Octavio A., Gómez, Francisco, Kastine, Jeremy, Lluis-Puebla, Emilio, Milam, Brent

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