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The Musical-Mathematical Mind

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Cover of 'The Musical-Mathematical Mind'

Table of Contents

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    Book Overview
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    Chapter 1 Extended Counterpoint Symmetries and Continuous Counterpoint
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    Chapter 2 Gödel-Vector and Gödel-Address as Tools for Genealogical Determination of Genetically-Produced Musical Variants
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    Chapter 3 A Survey of Applications of the Discrete Fourier Transform in Music Theory
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    Chapter 4 Gestures on Locales and Localic Topoi
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    Chapter 5 On the Structural and the Abstract in My Compositional Work
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    Chapter 6 A Proposal for a Music Writing for the Visually Impaired
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    Chapter 7 Group Theory for Pitch Sequence Representation: From the Obvious to the Emergent Complexity
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    Chapter 8 Mazzola’s Escher Theorem
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    Chapter 9 The Mechanics of Tipping Points: A Case of Extreme Elasticity in Expressive Timing
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    Chapter 10 Lexicographic Orderings of Modes and Morphisms
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    Chapter 11 Music of Quantum Circles
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    Chapter 12 Partitiogram, Mnet, Vnet and Tnet: Embedded Abstractions Inside Compositional Games
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    Chapter 13 Algebraic Combinatorics on Modes
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    Chapter 14 Proportion, Perception, Speculation: Relationship Between Numbers and Music in the Construction of a Contemporary Pythagoreanism
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    Chapter 15 Topos Echóchromas Hórou (The Place of the Tone of Space). On the Relationship Between Geometry, Sound and Auditory Cognition
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    Chapter 16 Models and Algorithms for Music Generated by Physiological Processes
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    Chapter 17 Music, Expectation, and Information Theory
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    Chapter 18 Gestural Dynamics in Modulation: (Towards) a Musical String Theory
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    Chapter 19 Manuel M. Ponce’s Piano Sonata No. 2 (1916): An Analysis Using Signature Transformations and Spelled Heptachords
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    Chapter 20 Textural Contour: A Proposal for Textural Hierarchy Through the Ranking of Partitions lexset
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    Chapter 21 The Sense of Subdominant: A Fregean Perspective on Music-Theoretical Conceptualization
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    Chapter 22 How Learned Patterns Allow Artist-Level Improvisers to Focus on Planning and Interaction During Improvisation
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    Chapter 23 Tuning Systems Nested Within the Arnold Tongues: Musicological and Structural Interpretations
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    Chapter 24 Wooden Idiophones: Classification Through Phase Synchronization Analysis
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    Chapter 25 A Fuzzy Rule Model for High Level Musical Features on Automated Composition Systems
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    Chapter 26 The Musical Experience Between Measurement and Computation: From Symbolic Description to Morphodynamical Unfolding
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    Chapter 27 Generic Additive Synthesis. Hints from the Early Foundational Crisis in Mathematics for Experiments in Sound Ontology
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    Chapter 28 Dynamical Virtual Sounding Networks
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    Chapter 29 Melodic Pattern Segmentation of Polyphonic Music as a Set Partitioning Problem
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    Chapter 30 Diagrams, Games and Time (Towards the Analysis of Open Form Scores)
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    Chapter 31 On Minimal Change Musical Morphologies
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    Chapter 32 Restoring the Structural Status of Keys Through DFT Phase Space
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    Chapter 33 Mazzola, Galois, Peirce, Riemann, and Merleau-Ponty: A Triadic, Spatial Framework for Gesture Theory
Attention for Chapter 27: Generic Additive Synthesis. Hints from the Early Foundational Crisis in Mathematics for Experiments in Sound Ontology
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Chapter title
Generic Additive Synthesis. Hints from the Early Foundational Crisis in Mathematics for Experiments in Sound Ontology
Chapter number 27
Book title
The Musical-Mathematical Mind
Published by
Springer, Cham, January 2017
DOI 10.1007/978-3-319-47337-6_27
Book ISBNs
978-3-31-947336-9, 978-3-31-947337-6

Julian Rohrhuber, Juan Sebastián Lach Lau

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