The Musical-Mathematical Mind : Patterns and Transformations - Pareyon, Gabriel; Pina-Romero, Silvia; Agustín-Aquino, Octavio A.; Lluis-Puebla, Emilio; SpringerLink (Online service) (Cham : Springer International Publishing : Imprint: Springer, 2017)
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 Features on 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.
Keywords: Application software; Music; Mathematics; Computer science-Mathematics.; Computer Appl. in Arts and Humanities; Music; Mathematics in Music; Mathematics of Computing