9780199298938

Music and Mathematics From Pythagoras to Fractals

by ; ;
  • ISBN13:

    9780199298938

  • ISBN10:

    0199298939

  • Format: Paperback
  • Copyright: 2006-09-14
  • Publisher: Oxford University Press

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Summary

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, authorized by leading scholars, presents the link between these two subjects 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 tuning and temperament, the mathematics of sound, bell-ringing and modern compositional techniques.

Table of Contents

Preface
Introduction Mathematics and Music: An Overview Susan Wollenberg
Tuning and Temperament: Closing the Spiral
Musical Cosmology: Kepler and His Readers
The Mathematics of Musical Sound
The Science of Musical Sound
Faggot's Fretful Blunder
Helmholtz: Combinational Tones and Consonance
Mathematical Structure in Music
Musical Frieze Patterns
Ringing the Changes: Bells and Mathematics
Composing with Numbers: Sets, Rows and Magic Squares
Recent Developments
Microtones and Projective Planes
Composing with Fractals
Bibliography
Table of Contents provided by Publisher. All Rights Reserved.

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