ENGLISH

Mathematics and Music

By David Wright

Book information

Publisher
AMS
Year
2009
ISBN
978-0-8218-4873-9
Language
english
Format
PDF
Filesize
975 kB (998700 bytes)
Series
Mathematical World 28
Pages
163\163
Time added
2017-11-22 15:55:27

Description

Introduction ix 1 Basic Mathematical and Musical Concepts 1 2 Horizontal Structure 17 3 Harmony and Related Numerology 31 4 Ratios and Musical Intervals 45 5 Logarithms and Musical Intervals 53 6 Chromatic Scales 61 7 Octave Identification and Modular Arithmetic 69 8 Algebraic Properties of the Integers 85 9 The Integers as Intervals 95 10 Timbre and Periodic Functions 103 11 The Rational Numbers as Musical Intervals 123 12 Tuning the Scale to Obtain Rational Intervals 137 Bibliography 147 Index 149

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