Relationship between mathematics and music

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I have a strong mathematical background and I am interested in the relationship between mathematics and music. I have found some introductory material on the web. Do you know any good books that will broaden my perspective of this subject?

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As an amateur pianist and math enthusiast, I really enjoyed Music: A Mathematical Offering, by Dave Benson: is not comprehensive, but it does contain a really awesome overview of the subject of sound and music and their relationship with mathematics.

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Godel Escher Bach - a great book that stresses the connection between math, art, music, and logic. I highly recommend it.