Music: a mathematical offering

1. Waves and harmonics

2. Fourier theory

3. mathematician's guide to the orchestra

4. Consonance and dissonance

5. Scales and temperaments : the fivefold way

6. More scales and temperaments

7. Digital music

8. Synthesis

9. Symmetry in music

App. A. Bessel functions

App. B. Equal tempered scales

App. C. Frequency and MIDI chart

App. D. Intervals

App. E. Just, equal and meantone scales compared

App. F. Music theory

App. G. Recordings.