Music: A Mathematical Offering

Research output: Book/ReportBook

Abstract

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
Original languageEnglish
PublisherCambridge University Press
Number of pages411
ISBN (Print)0521619998
Publication statusPublished - Nov 2006

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Music
Mathematics
Psychoacoustics
Dissonance
Amateur
Musical Instruments
Digital Technology
Number Theory
Group Theory
Ear
Temperament
Consonance
Ancient Greek
Wealth
History of the Sciences
Physics
Harmony

Cite this

Benson, D. J. (2006). Music: A Mathematical Offering. Cambridge University Press.

Music: A Mathematical Offering. / Benson, David John.

Cambridge University Press, 2006. 411 p.

Research output: Book/ReportBook

Benson, DJ 2006, Music: A Mathematical Offering. Cambridge University Press.
Benson DJ. Music: A Mathematical Offering. Cambridge University Press, 2006. 411 p.
Benson, David John. / Music: A Mathematical Offering. Cambridge University Press, 2006. 411 p.
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