A Compendium of Musical Mathematics
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Book Overview The purpose of this book is to provide a concise introduction to the mathematical theory of music, opening each chapter to the most recen...
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.
Book Details Format: Hardcover | Pages: 269 | Language: English | Publisher: WORLD SCIENTIFIC PUB CO INC | ISBN: 9811284369
FormatHardcover
Pages269
LanguageEnglish
ISBN9811284369
EAN9789811284366
PublisherWORLD SCIENTIFIC PUB CO INC
Publication Date1970-01-01
AccessoriesNo Accessory
ConditionNew
Product TypeHARD COVER BOOKS
Weight1.21 Pounds
Length9.0 Inches
Width6.0 Inches
Height0.69 Inches
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