TY  - BOOK
AU  - Benson,D.J.
TI  - Music: a mathematical offering 
SN  -  46125
AV  - ML3805 .B35 2013
U1  - 781.2 22
PY  - 2013///
CY  - Cambridge, UK, New York
PB  - Cambridge University Press
KW  - Music
KW  - Acoustics and physics
KW  - Mathematics
KW  - Musical perception
KW  - Electronic books
N1  - May be used as an undergraduate textbook; includes exercises; Includes bibliographical references (p. 386-392) and index
N2  - 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, psycho acoustics, the history of science, and digital technology as well as, of course, mathematics and music. Starting with the structure of the human ear and its relationship with Fourier analysis, the story proceeds via the mathematics of musical instruments to the ideas of consonance and dissonance, and then to scales and temperaments. 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
UR  - https://www.cambridge.org/core/books/music-a-mathematical-offering/B90B3A21E75C866582C32DC2A3FA7123
ER  -