Harmonograph A Visual Guide to the Mathematics of Music 9th Edition by Anthony Ashton ISBN 978-0802714091 ‎ 0802714099

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Product details: 

ISBN 10:   ‎ 0802714099

ISBN 13: 978-0802714091

Author:Anthony Ashton

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.

Table of contents: 

1. Introduction
2. The Discovery of Harmony
3. The Monochord of Creation
4. Overtones and Intervals
5. Whole Tones and Halftones
6. Arranging the Harmonies
7. Lissajous Figures
8. The Pendulum
9. Two Harmonographs
10. Simple Unison-1:1
11. Near Unison
12. Rotary Unison-1:1
13. The Lateral Octave-2:1
14. The Rotary Octave-2:1
15. The Lateral Fifth-3:2
16. The Rotary Fifth-3:2
17. The Fourth-4:3
18. Further Harmonics
19. Amplitude
20. Tuning Troubles
21. Equal Temperament
22. The Kaleidophone
23. Cool Patterns
24. Resonance Pictures
25. Appendix A: Tunings, and Intervals
26. Appendix B: Modes and Equations
27. Appendix C: Tables of Patterns
28. Appendix D: Building a Harmonograph

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Tags: Anthony Ashton, A Visual, the Mathematics