Musical-Mathematical Mind

“It is impossible to summarize a work of such depth. Suffice it to say that abstract algebra, topology, number theory, geometry, and so on are all involved. If you are a serious devotee of musical-mathematical theory and have a very extensive background in both areas, the book will be a treasure.” (James Van Speybroeck, Computing Reviews, April, 2018)​

• Introduction.- Extended Counterpoint Symmetries and Continuous Counterpoint.- A Survey of Applications of the Discrete Fourier Transform in Music Theory.- Gestures on Locales and Localic Topoi.- A Proposal for a Music Writing for the Visually Impaired.- Group Theory for Pitch Sequence Representation.- The Mechanics of Tipping Points.- Lexicographic Orderings of Modes and Morphisms.- Music of Quantum Circles.- Algebraic Combinatorics on Modes.- Proportion, Perception, Speculation.- Models and Algorithms for Music Generated by Physiological Processes.- Music, Expectation, and Information Theory.- Gestural Dynamics in Modulation: (Towards) A Musical String Theory.- The Sense of Subdominant: A Fregean Perspective on Music-Theoretical Conceptualization.- How Learned Patterns Allow Artist-Level Improvisers to Focus on Planning and Interaction During Improvisation.- Wooden Idiophones: Classification Through Phase Synchronization Analysis.- A Fuzzy Rule Model for High-Level Musical Featureson Automated Composition Systems.- The Musical Experience Between Measurement and Computation.- Generic Additive Synthesis.- Dynamical Virtual Sounding Networks.- Melodic Pattern Segmentation of Polyphonic Music as a Set Partitioning Problem.- Diagrams, Games and Time (Towards the Analysis of Open Form Scores).- On Minimal Change Musical Morphologies.