Includes bibliographical references (p. 147) and index
Basic mathematical and musical concepts -- Horizontal structure -- Harmony and related numerology -- Ratios and musical intervals -- Logarithms and musical intervals -- Chromatic scales -- Octave identification and modular arithmetic -- Algebraic properties of the integers -- The integers as intervals -- Timbre and periodic functions -- The rational numbers as musical intervals -- Tuning the scale to obtain rational intervals
0
This book is an investigation of the interrelationships between mathematics and music, reviewing the needed background concepts in each subject as they are encountered.--[book cover]