Music: A Mathematical Offering
by Dave Benson
Publisher: Cambridge University Press 2006
ISBN/ASIN: 0521619998
ISBN-13: 9780521619998
Number of pages: 530
Description:
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.
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