Music
Subtitle: a mathematical offering
By: Dave Benson.
Publisher: Cambridge University Press
Published: 2007
Place of publication: Cambridge, UK; New York
Language: eng
Number of pages: 411
ISBN-13: 9780521853873; 9780521619998
Subjects: Music -- Acoustics and physics; Music -- Mathematics; Musical perception
Description: "Since the time of the Ancient Greeks, much has been written about the relation between mathematics and music: from harmony and number theory, to musical patterns and group theory. Benson provides a wealth of information here to enable the teacher, the student, or the interested amateur to understand, at varying levels of technicality, the real interplay between these two ancient disciplines." "The story is long as well as broad and involves physics, biology, psychoacoustics, the history of science and digital technology as well as, of course, mathematics and music. This is a must-have book if you want to know about the music of the spheres or digital music and many things in between."--BOOK JACKET
Notes: May be used as an undergraduate textbook; includes exercises.

Includes bibliographical references (p. 386-392) and index.
Table of contents: title: Waves and harmonics; title: Fourier theory; title: A mathematician's guide to the orchestra; title: Consonance and dissonance; title: Scales and temperaments : the fivefold way; title: More scales and temperaments; title: Digital music; title: Synthesis; title: Symmetry in music.