Harmonograph examines the remarkable and mathematical beauty in sound and music.
During the nineteenth century, a remarkable scientific instrument known as a harmonograph revealed the beautiful patterns found in music. Harmonograph is an introduction to the evolution of simple harmonic theory, from the discoveries of Pythagoras to diatonic tuning and equal temperament. Beautiful drawings show the octave as triangle, the fifth as pentagram; diagrams show the principles of harmonics, overtones, and the monochord. Anthony Ashton examines the phenomenon of resonance in Chladni patterns, describes how to build a harmonograph of your own, and provides tables of world tuning systems. This inspiring book will appeal to musicians, mathematicians, designers, and artists alike.
Wooden Books was founded in 1999 by designer John Martineau near Hay-on-Wye. The aim was to produce a beautiful series of recycled books based on the classical philosophies, arts and sciences. Using the Beatrix Potter formula of text facing picture pages, and old-styles fonts, along with hand-drawn illustrations and 19th century engravings, the books are designed not to date. Small but stuffed with information. Eco friendly and educational. Big ideas in a tiny space. There are over 1,000,000 Wooden Books now in print worldwide and growing.
About the Author
Anthony Ashton is an economist and journalist.
Table of Contents
|The Discovery of Harmony||4|
|The Monochord of Creation||6|
|Overtones and Intervals||8|
|Whole Tones and Halftones||10|
|Arranging the Harmonies||12|
|The Lateral Octave--2:1||26|
|The Rotary Octave--2:1||28|
|The Lateral Fifth--3:2||30|
|The Rotary Fifth--3:2||32|
|Appendix A||Tunings, and Intervals||50|
|Appendix B||Modes and Equations||52|
|Appendix C||Tables of Patterns||54|
|Appendix D||Building a Harmonograph||56|
Most Helpful Customer Reviews
Being right brained, I easily understood tangible math. Music was always a little more complicated - I could hear it and was utterly enchanted by it, but until this book, could not grasp how it could be represented on paper. Now I enjoy both subjects so much better, especially understanding their mystically beautiful relationship!
Awesome little book with fascinating illustrations from the harmonograph. Another visual look at sound and vibration with an instrument I didn't even know existed.
Cute little book that holds insight into the relationship between music and the sciences.