Music and Mathematics: from Pythagoras to Fractals

Paperback | July 11, 2006

byJohn Fauvel, Raymond Flood, Robin Wilson

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From Ancient Greek times, music has been seen as a mathematical art, and the relationship between mathematics and music has fascinated generations. This collection of wide ranging, comprehensive and fully-illustrated papers, authored by leading scholars, presents the link between these twosubjects in a lucid manner that is suitable for students of both subjects, as well as the general reader with an interest in music. Physical, theoretical, physiological, acoustic, compositional, and analytical relationships between mathematics and music are unfolded and explored with focus on tuningand temperament, the mathematics of sound, bell-ringing and modern compositional techniques.

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From the Publisher

From Ancient Greek times, music has been seen as a mathematical art, and the relationship between mathematics and music has fascinated generations. This collection of wide ranging, comprehensive and fully-illustrated papers, authored by leading scholars, presents the link between these twosubjects in a lucid manner that is suitable for...

John Fauvel is formerly of the Open University, UK. Raymond Flood is in the Department for Continuing Education, Oxford University. Robin Wilson is at Keble College, Oxford University.

other books by John Fauvel

Format:PaperbackDimensions:200 pages, 9.69 × 7.44 × 0.46 inPublished:July 11, 2006Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0199298939

ISBN - 13:9780199298938

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Table of Contents

PrefaceSusan Wollenberg: Music and mathematics: an overviewPart I: Music and mathematics through history1. Neil Bibby: Tuning and temperament: closing the spiral2. J.V. Field: Musical cosmology: Kepler and his readersPart II: The mathematics of musical sound3. Charles Taylor: The science of musical sound4. Ian Stewart: Faggot's fretful blunder5. David Fowler: Helmholtz: combinational tones and consonancePart III: Mathematical structure in music6. Wilfrid Hodges: Musical frieze patterns7. Dermot Roaf and Arthur White: Ringing the changes: bells and mathematics8. Jonathan Cross: Composing with numbers: sets, rows and magic squaresPart IV: The composer speaks9. Carlton Gamer and Robin Wilson: Microtones and projective planes10. Robert Sherlaw Johnson: Composing with fractalsNotes on contributorsNotes, references, and further readingAcknowledgementsIndex

Editorial Reviews

`The book presents a comprehensive look at the connections between music and mathematics ... This nicely written book would be appreciated by all who want to delve deeper into the connections between the two fields.'EMS Newsletter September 2005