Compendium Of Musical Mathematics, A
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A01=Franck Jedrzejewski
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Allen Forte
Author_Franck Jedrzejewski
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Category1=Non-Fiction
Category=AVA
Category=PBWH
Combinatorial Designs
Combinatorics on words
COP=Singapore
David Lewin
Delivery_Delivery within 10-20 working days
Diatonic Scales
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Generalized Interval System
Hugo Riemann
Language_English
Mathematics
Microtones
Music
Musical Set Theory
Neo-Riemannian Transformations
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Rhythmic Canons
Serialism
softlaunch
Tom Johnson
Tunings Systems
Twelve-Tone Technique
Voice Leading
Product details
- ISBN 9789811284366
- Publication Date: 09 Apr 2024
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
- Language: English
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The purpose of this book is to provide a concise introduction to the mathematical theory of music, opening each chapter to the most recent research. Despite the complexity of some sections, the book can be read by a large audience. Many examples illustrate the concepts introduced. The book is divided into 9 chapters.In the first chapter, we tackle the question of the classification of chords and scales. Chapter 2 is a mathematical presentation of David Lewin's Generalized Interval Systems. Chapter 3 offers a new theory of diatonicity in equal-tempered universes. Chapter 4 presents the Neo-Riemannian theories based on the work of David Lewin, Richard Cohn and Henry Klumpenhouwer. Chapter 5 is devoted to the application of word combinatorics to music. Chapter 6 studies the rhythmic canons and the tessellation of the line. Chapter 7 is devoted to serial knots. Chapter 8 presents combinatorial designs and their applications to music. The last chapter, chapter 9, is dedicated to the study of tuning systems.
