Mathematics and music
 Responsibility
 David Wright.
 Imprint
 Providence, R.I. : American Mathematical Society, c2009.
 Physical description
 xiv, 161 p. : ill. ; 26 cm.
 Series
 Mathematical world ; v. 28.
At the library
Science Library (Li and Ma)
Stacks
Call number  Status 

ML3809 .W85 2009  Unknown 
More options
Description
Creators/Contributors
 Author/Creator
 Wright, David, 1949
Contents/Summary
 Bibliography
 Includes bibliographical references and index.
 Contents

 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.
 Summary

Many people intuitively sense that there is a connection between mathematics and music. If nothing else, both involve counting. There is, of course, much more to the association. David Wright's book is an investigation of the interrelationships between mathematics and music, reviewing the needed background concepts in each subject as they are encountered. Along the way, readers will augment their understanding of both mathematics and music. The text explores the common foundations of the two subjects, which are developed side by side. Musical and mathematical notions are brought together, such as scales and modular arithmetic, intervals and logarithms, tone and trigonometry, and timbre and harmonic analysis. When possible, discussions of musical and mathematical notions are directly interwoven. Occasionally the discourse dwells for a while on one subject and not the other, but eventually the connection is established, making this an integrative treatment of the two subjects. The book is a text for a freshman level college course suitable for musically inclined or mathematically inclined students, with the intent of breaking down any apprehension that either group might have for the other subject. Exercises are given at the end of each chapter. The mathematical prerequisites are a highschool level familiarity with algebra, trigonometry, functions, and graphs. Musically, the student should have had some exposure to musical staffs, standard clefs, and key signatures, though all of these are explained in the text.
(source: Nielsen Book Data)
Subjects
Bibliographic information
 Publication date
 2009
 Series
 Mathematical world ; v. 28
 ISBN
 9780821848739 (alk. paper)
 0821848739 (alk. paper)