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Mathematics and music / David Wright.
Author
Wright, David, 1949-
[Browse]
Format
Book
Language
English
Published/Created
Providence, R.I. : American Mathematical Society, [2009]
Description
xiv, 161 pages : illustrations ; 26 cm.
Availability
Available Online
Online Content
Mathematical World : Selected titles 1991 - 2013
Copies in the Library
Location
Call Number
Status
Location Service
Notes
Lewis Library - Stacks
ML3809 .W85 2009
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Details
Subject(s)
Musical intervals and scales
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Music theory
—
Mathematics
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Series
Mathematical world ; v. 28.
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Mathematical world ; v. 28
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Summary note
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 high-school 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 [Publisher description].
Bibliographic references
Includes bibliographical references (p. 147) 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.
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ISBN
9780821848739 ((alk. paper))
0821848739 ((alk. paper))
LCCN
2009014813
OCLC
318191268
Statement on language in description
Princeton University Library aims to describe library materials in a manner that is respectful to the individuals and communities who create, use, and are represented in the collections we manage.
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Mathematics and music / David Wright.
id
99102463603506421
Mathematics and music / David Wright.
id
99125395882406421