音楽演奏と作曲における数学と計算<br>Mathemusical Conversations: Mathematics and Computation in Music Performance and Composition (Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore)

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音楽演奏と作曲における数学と計算
Mathemusical Conversations: Mathematics and Computation in Music Performance and Composition (Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore)

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  • 製本 Hardcover:ハードカバー版/ページ数 316 p.
  • 言語 ENG
  • 商品コード 9789813140097
  • DDC分類 780.0519

Full Description

Mathemusical Conversations celebrates the understanding of music through mathematics, and the appreciation of mathematics through music. This volume is a compilation of the invited talks given at the Mathemusical Conversations workshop that took place in Singapore from 13-15 February 2015, organized by Elaine Chew in partnership with Gérard Assayag for the scientific program and with Bernard Lanskey for the artistic program. The contributors are world experts and leading scholars, writing on the intersection of music and mathematics. They also focus on performance and composition, two topics which are foundational both to the understanding of human creativity and to the creation of tomorrow's music technologies. This book is essential reading for researchers in both music and mathematics. It will also appeal more broadly to scholars, students, musicians, and anyone interested in new perspectives on the intimate relationship between these two universal human activities.

Contents

Introduction; Mathemusical Engagement: Without Our Consent (Paul Schoenfield); Approaches to Musical Expression in Harmonix's Video Games (Eran Egozy); Motion and Gravitation in the Musical Spheres (Elaine Chew); Mathemusical Creativity: Creative Dynamics of Improvised Musical Interaction (Gerard Assayag); Sound, Shape, Harmony (Jean-Pierre Bourguignon); Musical Creativity (Margaret Boden); Canons: Tiling Canons as a Key to Approaching Open Mathematical Conjectures? (Moreno Andreatta); Infinite Canons (Clifton Callender); Shaping Performance: Performing Musical Shape in Theory and in Practice (John Rink); Playing with Variables: Anticipating One Particular Performance of Bachs Goldberg Variations (Stephen Emmerson and Bernard Lanskey); Modeling Melodic Expression (Christopher Raphael); Mathemuscial Learning: Mathematical Thought and Empirical Approaches in Music Higher Education (Yang Jian); Action and Symbol: An Essential Tension (Jeanne Bamberger); Education the Mathemusical: Balancing the Equation (Don McLean); Geometries: What is Geometric about Music? (Richard Cohn); Vectors and Voice Leading (Dmitri Tymoczko); A Topological Approach of Musical Relationships (Jean-Louis Giavitto);

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