Harmonic Overtones and Resonance

This application discusses the harmonic structure of sound waves and how resonance reshapes sound waves. The resonant properties of musical instruments are discussed. Interactive charts that illustrate the amplitude and phase response of different types of resonance at different damping values are included. Also included are interactive graphs of sound waves that have had their shape changed by resonance at different damping values.

Introduction

1. Sine Waves
2. In Phase Odd Ordered Harmonics
3. Out of Phase Even Ordered Harmonics
4. Mixed Odd and Even Ordered Harmonics
5. The Meaning of the Decibel Scale
6. Phase Shift
7. Resonant Properties of Musical Instruments

High-Pass

8. Amplitude and Phase Charts for 2^nd Order High-Pass Resonance
9. Changes In Shape of Square Wave with 2^nd Order High-Pass Resonance
10. Amplitude and Phase Charts for 4^th Order High-Pass Resonance
11. Changes In Shape of Square Wave with 4^th Order High-Pass Resonance

Band-Pass

12. Amplitude and Phase Charts for 2^nd Order Band-Pass Resonance
13. Changes In Shape of Square Wave with 2^nd Order Band-Pass Resonance

Low-Pass

14. Amplitude and Phase Charts for 2^nd Order Low-Pass Resonance
15. Changes In Shape of Square Wave with 2^nd Order Low-Pass Resonance
16. Amplitude and Phase Charts for 4^th Order Low-Pass Resonance
17. Changes In Shape of Square Wave with 4^th Order Low-Pass Resonance

Appendices

18. Glossary
19. Equations Used to Calculate Amplitude and Phase of Resonance