AMS eBook CollectionsOne of the world's most respected mathematical collections, available in digital format for your library or institution
Mathematics and Music
About this Title
David Wright, Washington University, St. Louis, MO
Publication: Mathematical World
Publication Year:
2009; Volume 28
ISBNs: 978-0-8218-4873-9 (print); 978-1-4704-1196-1 (online)
DOI: https://doi.org/10.1090/mawrld/028
MathSciNet review: MR2541946
MSC: Primary 00A65
Table of Contents
Download chapters as PDF
Front/Back Matter
Chapters
- 1. Basic mathematical and musical concepts
- 2. Horizontal structure
- 3. Harmony and related numerology
- 4. Ratios and musical intervals
- 5. Logarithms and musical intervals
- 6. Chromatic scales
- 7. Octave identification and modular arithmetic
- 8. Algebraic properties of the integers
- 9. The integers as intervals
- 10. Timbre and periodic functions
- 11. The rational numbers as musical intervals
- 12. Tuning the scale to obtain rational intervals