1.

Record Nr.

UNINA9910254823103321

Titolo

The Musical-Mathematical Mind : Patterns and Transformations / / edited by Gabriel Pareyon, Silvia Pina-Romero, Octavio A. AgustĂ­n-Aquino, Emilio Lluis-Puebla

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017

ISBN

3-319-47337-9

Edizione

[1st ed. 2017.]

Descrizione fisica

1 online resource (XXIX, 345 p. 144 illus., 43 illus. in color.)

Collana

Computational Music Science, , 1868-0305

Disciplina

780.051

Soggetti

Application software

Music

Mathematics

Computer science—Mathematics

Computer Appl. in Arts and Humanities

Mathematics in Music

Mathematics of Computing

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di bibliografia

Includes bibliographical references at the end of each chapters.

Nota di contenuto

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.

Sommario/riassunto

This book presents a deep spectrum of musical, mathematical, physical, and philosophical perspectives that have emerged in this field at the intersection of music and mathematics. In particular the contributed chapters introduce advanced techniques and concepts from modern mathematics and physics, deriving from successes in domains such as Topos theory and physical string theory. The authors include many of the leading researchers in this domain, and the book will be of value to researchers working in computational music, particularly in the areas of counterpoint, gesture, and Topos theory.