You can produce interesting images by moving these pendulums at different amplitudes, frequencies and phases. These images are produced by a machine with a number of pendulums connected to a pen and/or the surface the pen is drawing on. Ratios that correspond to pleasant sounds make for pleasant looking harmonographs.Ī harmonograph is a mechanical apparatus that employs pendulums to create a geometric image. There is an intrinsic link between musical tones and harmonographs. Likewise, you don’t need to know about music theory, but it may help to understand certain aspects of harmonics as they pertain to frequency ratios. As long as you understand ratios and basic mathematics you should be good.Īlso, you don’t need to know trigonometry, but it would certainly help to understand trigonometric values and their equivalent angles.įor example, π (PI) radians is 180 degrees, π/2 is 90 degrees, etc.
You don’t need to be an expert in mathematics to work with harmonographs. If you have any questions or comments contact me here. The lessons learned here can also be applicable to real physical harmonographs. The purpose of this document is to teach you how to make different types of harmonograph images using the For more information, please visit my website: harmonograms.☰ WorldTree. When not being used as a drawing machine the device can be disassembled and used as a coffee table. I built the harmonograph in this video based on several different designs in order to make a machine that could be portable and multi-functional.
By varying the frequency and phase of the pendulums relative to one another different patterns are created. Two linked pendulums move a pen in a circular motion along one axis and the third pendulum moves the drawing surface in a rotary motion along a perpendicular axis. The harmonograph in this video employs three pendulums to control the movement of a pen relative to a drawing surface. The devices, which began to appear in the mid-19th century and peaked in popularity in the 1890s, cannot be conclusively attributed to a single person, although Hugh Blackburn, a professor of mathematics at the University of Glasgow, is commonly believed to be the official inventor. A harmonograph is a mechanical apparatus that employs pendulums to create a geometric image (harmonogram).
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