Maths & Music
Julia Winterson
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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.
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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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