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Geometry and Topology in Music by Moreno Andreatta at Abbey's Bookshop,
Geometry and Topology in Music
— —
Moreno Andreatta Emmanuel Amiot

Geometry and Topology in Music

Moreno Andreatta,  Emmanuel Amiot,  Jason Yust

$284

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English
CRC Press
01 November 2024
Theory of music & musicology; Calculus & mathematical analysis; Geometry; Topology
This book introduces path-breaking applications of concepts from mathematical topology to music-theory topics including harmony, chord progressions, rhythm, and music classification. Contributions address topics of voice leading, Tonnetze (maps of notes and chords), and automatic music classification.

Focusing on some geometrical and topological aspects of the representation and formalisation of musical structures and processes, the book covers topological features of voice-leading geometries in the most recent advances in this mathematical approach to representing how chords are connected through the motion of voices, leading to analytically useful simplified models of high-dimensional spaces; It generalizes the idea of a Tonnetz, a geometrical map of tones or chords, and shows how topological aspects of these maps can correspond to many concepts from music theory. The resulting framework embeds the chord maps of neo-Riemannian theory in continuous spaces that relate chords of different sizes and includes extensions of this approach to rhythm theory. It further introduces an application of topology to automatic music classification, drawing upon both static topological representations and time-series evolution, showing how static and dynamic features of music interact as features of musical style.

This volume will be a key resource for academics, researchers, and advanced students of music, music analyses, music composition, mathematical music theory, computational musicology, and music informatics. It was originally published as a special issue of the Journal of Mathematics and Music.
Edited by:   , ,
Imprint:   CRC Press
Country of Publication:   United Kingdom
Dimensions:   Height: 246mm,  Width: 174mm, 
Weight:   400g
ISBN:   9781032845159
ISBN 10:   1032845155
Pages:   122
Publication Date:  
Audience:   College/higher education ,  Primary
Format:   Hardback
Publisher's Status:   Active

Moreno Andreatta, Director of Research at CNRS/IRMA and Associate Researcher at IRCAM Emmanuel Amiot, Associate Researcher at UPDV Jason Yust, Associate Professor at the Boston University School of Music.

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