# 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: http://dx.doi.org/10.1090/mawrld/028

MathSciNet review: MR2541946

MSC: Primary 00A65

### Table of Contents

**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