During the nineteenth century, a remarkable scientific instrument known as a harmonograph revealed the beautiful patterns found in music. Harmonograph is an. Why did Pythagoras pause outside a Blacksmith’s workshop? Can the nature of Harmony really be understood visually? Why do harmonies. Punted in the United States of America. 2 4 6 8 10 9 7 5 3 1. HARMONOGRAPH. A VISUAL GUIDE TO THE MATHEMATICS OF MUSIC. Anthony Ashton. ~WJ;-.
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Harmonograph: A Visual Guide to the Mathematics of Music – Anthony Ashton – Google Books
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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 sho During the nineteenth century, a remarkable scientific instrument known as a harmonograph revealed the beautiful patterns found in music.
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.
Hardcover58 pages. Published April 1st by Walker Books first published May 1st To see what your friends thought of this book, please sign up.
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Harmonograph: A Visual Guide to the Mathematics of Music
Aug 10, Praveen Sinha mathematice it liked it. A lovely collection of methods and techniques used harmonograh early days or in other words were discovered by observing the musical harmony and notes. The illustrations illustrate the beauty of the numbers and patterns and ease with which we can find them around us via different media. Fascinating read, despite grammatical errors and some other minor inaccuracies. Jul 27, Deana rated it really liked it Recommended to Deana by: This was a really cool book.
My mom gave it to me many years ago, and I just not got around to reading it. Basically, it’s about this really cool machine called the “harmonograph”. If you’ve ever heard of tuning forks, this will make sense hrmonograph you. If not, go here. So, a long time ago, someone set up two tuning forks at right angles to one another some distance apart. Using mirrors, a light was shone at one tuning fork, bounced off toward the second, and then finally the light bounced off that on This was a really cool book.
Using mirrors, a light was shone at one tuning fork, bounced off toward the second, hamronograph then finally the light bounced off that one and onto a dark surface.
Very pretty and interesting patterns emerged when both tuning forks were set into motion, and of course different patterns emerged depending on the ratios of the vibrations. These movements were too matyematics and too fast for someone to record, so the harmonograph was invented. It uses the same principles except it uses pendulums swinging at different ratios to simulate the movements of the tuning forks.
Pendulums can be made to swing in much longer and slower motions than tuning forks. By attaching pens and paper to the pendulums, beautiful patterns could be harmonoograph tracing out their harmonogrph. Check out the cover of the book for one example, although trust me – the others are far more beautiful and intricate than that one. Jan 09, Kirsty Shark added it. This is a really beautiful little book.
Looking at the diagrams of which there’s plenty and realising how these patterns and shapes are created by musical sounds left me amazed. It is pretty heavy on the music theory though.
If you’re not quick at discerning between your major thirds or minor sevenths then it might feel a bit dense if you’re reading all in one go. It is very short too, so I’m not including it in my reading challenge.
Harmonograph: A Visual Guide to the Mathematics of Music by Anthony Ashton
Feb 08, Scott rated it liked it Shelves: This is a cool little book that discusses and illustrates relationships between music and mathematics. Like all of the Wooden Books, it’s brief. Nov 28, Maxwell added it. Apr 07, Snufkin rated it really liked it.
Apr 19, Matt Webb rated it really liked it. I still don’t understand how ratios between vibrations lead to different tones, but I have now spent a good deal of time making Chladni patterns. A happy discovery in the Wellcome bookshop. Richard rated it really liked it Jun 11, Chris rated it liked it Oct 10, Steven Noha rated it really liked it Dec 23, Alexandre Caldeira rated it really liked it Dec 17, SpR rated it really liked it Dec 31, Mac rated it it was amazing Apr 29, Brady Salz rated it liked it Sep 02, Erica Moore rated it it was amazing Oct 03, AJ Dehany rated it it was ok Apr 22, Sam Cavallaro rated it it was amazing Nov 23, Meara rated it really liked it Feb 03, Anna rated it really liked it Jan 29, Ronald Lett rated it really liked it May 12, Laurel rated it it was amazing Sep 27, Mfenech rated it it was amazing Jun 05, Msrobot0 rated it really liked it Jan 13, Adam Balshan rated it it was ok Apr 02, Jennifer Seiler rated it really liked it May 04, Emiliano Dias rated it really liked it Sep 26, Tom rated it it was amazing Jul 24, There are no discussion topics on this book yet.
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