4 The Math of Sound and Resonance

Chapters in this book

1. Frontmatter i
2. Contents vii
3. Nota Bene ix
4. Introduction 1
5. 1 The Parameters of Sound 8
6. 2 The Math of Pitch, Scales, and Harmony 33
7. 3 Waves and Harmonics 63
8. 4 The Math of Sound and Resonance 83
9. 5 Math and Rhythmic Structure 102
10. 6 Brain Mechanisms of Rhythm 126
11. 7 Neural Mechanisms of Emotion 147
12. 8 Ear Physiology: How Air Waves Become Sound 159
13. 9 Deep Brain Physiology of Sound 172
14. 10 Sound Disorders, Illusions, and Hallucinations 189
15. 11 Animal Sound, Song, and Music 203
16. Acknowledgments 253
17. Appendix 1: Musical Pitch to Frequency Table 257
18. Appendix 2: Further Reading 259
19. Bibliography 261
20. Author’s Selected Compositions and Discography 271
21. Index 277