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Article Excerpt Journal of Mathematics and Music. Edited by Thomas Noll and Robert Peck. Taylor and Francis. Triannual. Vol. 1, no. 1 (March 2007). ISSN 1745-9737 (print); ISSN 1745-9745 (online). Print and online (PDF and HTML) format. Access: http://www.informaworld.com/JMM. Subscription or inquiries originating from North America: Taylor and Francis Group Journals, 325 Chestnut Street, Suite 800, Philadelphia, PA 19106. For other countries see: http://www.tandf.co.uk/journals/contact.asp. E-mail: katie.chandler@tandf.co.uk. $75 individual; $198 institution (print and online), $188 (online only).
The relationship between mathematics and music has fascinated philosophers and musicians for millennia. Pythagoras's mythical discovery that music was "sounding number," and thus a sensible manifestation of the underlying numeric reality of the Pythagorean universe, cast a shadow over centuries of musical thought. Neo-Platonic philosophers like Boethius, operating within the Pythagorean tradition, considered musica nothing less than a branch of mathematics itself (that branch concerned with compared quantities, i.e., whole-number ratios). The math-music relationship has persisted in various forms since then, waxing and waning with the intellectual tenor of the age. We currently appear to be in a waxing phase: since World War II, many prominent composers and music...
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