Harmonograph: A Visual Guide to the Mathematics of Music

Harmonograph: A Visual Guide to the Mathematics of Music

by Anthony Ashton

Hardcover

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Overview

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.

Product Details

ISBN-13: 9780802714091
Publisher: Bloomsbury USA
Publication date: 04/01/2003
Series: Wooden Books Series
Pages: 64
Sales rank: 877,858
Product dimensions: 5.93(w) x 7.24(h) x 0.56(d)

About the Author

Anthony Ashton is an economist and journalist.

Table of Contents

Introduction1
The Discovery of Harmony4
The Monochord of Creation6
Overtones and Intervals8
Whole Tones and Halftones10
Arranging the Harmonies12
Lissajous Figures14
The Pendulum16
Two Harmonographs18
Simple Unison--1:120
Near Unison22
Rotary Unison--1:124
The Lateral Octave--2:126
The Rotary Octave--2:128
The Lateral Fifth--3:230
The Rotary Fifth--3:232
The Fourth--4:334
Further Harmonics36
Amplitude38
Tuning Troubles40
Equal Temperament42
The Kaleidophone44
Chladni Patterns46
Resonance Pictures48
Appendix ATunings, and Intervals50
Appendix BModes and Equations52
Appendix CTables of Patterns54
Appendix DBuilding a Harmonograph56

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Harmonograph: A Visual Guide to the Mathematics of Music 4.3 out of 5 based on 0 ratings. 3 reviews.
moominlove on LibraryThing More than 1 year ago
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!
talltrickster on LibraryThing More than 1 year ago
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.
sanbeiji on LibraryThing More than 1 year ago
Cute little book that holds insight into the relationship between music and the sciences.