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Julia Winterson

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Description

There are strong links between music and mathematics dating back to Pythagoras and beyond. This book draws together the two disciplines outlining the key methods and concepts that underpin the subjects from one of the earliest uses of a musical cryptogram to computer music in the twenty-first century. Maths and Music is divided into sections, each one exploring a different mathematical aspect of music: rhythm; symmetry; scales; form and structure; and finally some musical curiosities. Musical examples are taken from across the world, from ancient and medieval music through to popular music of the twenty-first century. In all, the book covers over 200 pieces of music ranging from classical symphonies to electronic dance music with numerous musical excerpts given. There are clear explanations throughout along with glossaries of musical and mathematical terms.

• Details

  Published	Published By	Pages	ISBN	DOI	Chapters
  June 28, 2024	Huddersfield University Press	298	978-1-86218-231-8	10.5920/mathsandmusic	17
  License Information
  Text © 2024 This work is licensed under a Creative Commons Attribution 4.0 International License Images © as attributed Every effort has been made to locate copyright holders of materials included and to obtain permission for their publication The publisher is not responsible for the continued existence and accuracy of websites referenced in the text
  Citation
  Winterson J. 2024. Maths & Music

• Chapters

  Maths & Music has the following Chapters:

  • Foreword
  • [1] Rhythmic devices: time signatures, barlines and polyrhythms
  • [2] Mathematical approaches to rhythm used in the twentieth-century
  • [3] Rhythm systems in music from across the world
  • [4] Symmetry in music
  • [5] Frieze patterns in music
  • [6] Diatonic scales and tuning
  • [7] More scales: whole tone, octatonic, pentatonic,and scales that use microtones
  • [8] Serialism and the 12-note scale
  • [9] Canons and fugues
  • [10] Proportion: Golden Section and the Fibonacci series
  • [11] Randomness and chance
  • [12] Fractals and chaos theory
  • [13] Musical cryptography
  • [14] Magic squares and Latin squares
  • [15] Change ringing
  • Glossary

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