CONTENTS

Introduction
The Discovery of Harmony
The Monochord of Creation
Overtones and Intervals
Whole Tones and Halftones
Arranging the Harmonics
Lissajous Figures
The Pendulum
Two Harmonographs
Simple Unison--1:1
Near Unison
Rotary Unison--1:1
The Lateral Octave--2:1
The Rotary Fifth--3:2
The Fourth--4:3
Further Harmonics
Amplitude
Tuning Troubles
Equal Temperament
The Kaleidophone
Chladni Patterns
Resonance Pictures
Appendix A: Tunings, and Intervals
Appendix B: Modes and Equations
Appendix C: Tables of Patterns
Appendix D: Building a Harmonograph