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Topic: Harmonograph

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	Harmonographs
		Harmonographs are mechanical devices that trace out the resultant of two or more simple harmonic motions, typically along mutually-perpendicular axes.
		In a fashion similar to the kaleidophone, also invented by Wheatstone, the apparatus is operated in a dark room, and the image of a single bright light source is observed by reflection from the bead.
		In my harmonograph the pendulum rods are oak two by fours about three feet long, and four kilograms of slotted iron mass bolted to each pendulum provide the motive energy.
	physics.kenyon.edu /EarlyApparatus/Oscillations_and_Waves/Harmonographs/Harmonographs.html (733 words)

	harmonograph
		This is a simple harmonograph made from a tripod joined at its apex by a rubber band which can be slid up or down to change the ratio of swinging to twisting.
		The extent to which the pen is balanced by the counterweight determines the damping of the pendulum.
		It may be possible to combine this harmonograph with the tripod one: put the tripod on the table and adjust it to roughly the same frequency as the pendulums.
	www.geocities.com /davidvwilliamson/harmonograph.html (1816 words)

	A computer simulation of a harmonograph.
		There were located within the frame a short distance from each end two rigid rod pendulums, each of which had an adjustable cylindrical weight that could be raised or lowered on the rod between runs, thereby altering their frequencies of swinging.
		When the data has been chosen as the user desires, the user pushes the yellow button and the screen is cleared and a simulated harmonograph drawing is produced in yellow, taking a while, perhaps several minutes, to draw, depending upon the speed of the terminal being used.
		The harmonograph program provides Astrolabe Channel with a program that provides a changing screen display over a period of time and which, once it were converted to DVB-MHP format, might be particularly suitable for a demonstration on a stand at an exhibition concerning the DVB-MHP system.
	www.users.globalnet.co.uk /~ngo/ast00800.htm (1730 words)

	The Amazing Harmonograph
		The hole has to be bigger than the shaft of the upper pendulum, and it has to be located so as to hold the upper pendulum as far away from the wall as possible.
		This harmonograph machine is based on a design invented and patented in the early sixties by Mr.
		This Harmonograph drawing was made in about one minute on January 6 2007 on the machine set up in the Games room at the Haven Resort on Gabriola Island.
	www.peterjoyes.com /harmonograph.htm (632 words)

	Luke's Projects
		A harmonograph is a device used to produce interesting spirals which I believe are called harmonograms.
		My first harmonograph is made from an old shelf laden with bricks hung from my door frame with string.
		To work the harmonograph I swing the shelf and gently lower the pen onto the paper.
	homepage.ntlworld.com /paul.wallin/projects/harmonograph.htm (288 words)

	Harmonograph at AllExperts
		A harmonograph is a mechanical device that employs pendulums to create a picture.
		The devices appeared in the 19th century and are attributed to Jules Antoine Lissajous.
		A simple harmonograph uses two pendulums to control the movement of a pen relative to a drawing surface.
	en.allexperts.com /e/h/ha/harmonograph.htm (262 words)

	pkturner.org (Site not responding. Last check: 2007-10-30)
		Harmonographs create intriguing patterns of curves from the motion of pendulums.
		The name harmonograph recognizes that both these figures and musical harmony are closely tied to ratios.
		He needed some accurate harmonograph curves, and I thought it would be a fun subject for developing a computer program.
	www.pkturner.org (128 words)

	Boo Hewerdine - Harmonograph : album review
		But it has been since their split that he has excelled as a songwriter and has been employed by artists as diverse as Alex Parks, Gregson and Collister and David McAlmont whilst also continuing to develop as a solo artist.
		His latest solo offering, Harmonograph, named after a mechanical device that draws patterns that can be likened to the ways music is created, is his rendition of 12 self-penned songs that have been recorded by other artists, and there are some real gems to be heard.
		Harmonograph showcases his songwriting talent to the full.
	www.musicomh.com /albums/boo-hewerdine_0106.htm (605 words)

	Harmonograph
		The two pendulum harmonograph draws attractive patterns that arise from drawing the relative path traversed by two swinging masses as their motion is slowly damped.
		The first harmonograph actually used a light beam on a screen instead of the pens on paper that are used today.
		I printed a large photo of the harmonograph, and using the basic measurement of the pen I intended to use for our harmonograph, scaled the entire instrument photograph to the pen's measurements.
	local.wasp.uwa.edu.au /~pbourke/surfaces_curves/harmonograph (911 words)

	Christopagan.net: Books: Harmonograph: A Visual Guide to the Mathematics of Music (Wooden Books)
		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.
		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.
	www.christopagan.net /amazon/shop.php?c=books&n=12710&i=0802714099&x=Harmonograph_A_Visual_Guide_to_the_Mathematics_of_Music_Wooden_Books (438 words)

	The Amazing Harmonograph
		The hole has to be bigger than the shaft of the upper pendulum, and it has to be located so as to hold the upper pendulum as far away from the wall as possible.
		This harmonograph machine is based on a design invented and patented in the early sixties by Mr.
		They developed and manufactured about 500 harmonographs to be sold as a toy in a big box for $29.95.
	www.airbrushmagic.com /harmonograph.htm (603 words)

	The Physics of the Harmonograph
		The harmonograph was pioneered by the French physicist, Jules Antoine Lissajous in 1857.
		The first harmonograph actually used a light beam on a screen (funny how history repeats itself!) Following the invention of the harmonograph it became a very popular device and was found in many homes.
		The Harmonograph is basically a large, heavy, rectangular platform suspended at all four corners by wires.
	www.tip.net.au /~apurdam/harmonograph/harmonophysics.html (626 words)

	Harmonograph (Site not responding. Last check: 2007-10-30)
		A harmonograph is an assembly of a few pendulums and a pen that draws a variety of curves containing interesting patterns.
		The "harmonograph 1.0" program is a computer model of a two-pendulum harmonograph which enables you to "set up" a harmonograph and generate the resulting curve at the same rate that a physical harmonograph would do so.
		Harmonograph exists thanks to the fine services of wxwidgets 2.4.2.
	www.pkturner.org /harmonograph.html (91 words)

	Cult Movies: Harmonograph: A Visual Guide to the Mathematics of Music (Wooden Books) - $8.00 (Site not responding. Last check: 2007-10-30)
		During the nineteenth century, a remarkable sсiеntifiс instrument known as a harmonograph revealed the beautiful patterns found in music.
		Harmonograph is an intrоduсtiоn to the evolution of simрlе harmonic theory, from the discoveries of Pythagoras to diatonic tuning and equal temperament.
		Anthony Ashton examines the рhеnоmеnоn of resonance in Chladni patterns, describes how to build a harmonograph of your own, and provides tables of world tuning systems.
	www.cultmoviesstore.com /tvr30383032373134303939.html (532 words)

	Double Elliptical Pendulum Harmonograph
		Several kinds of harmonographs were described and illustrated.
		I was most interested in the Double Elliptical Pendulum Harmonograph because of the striking complexity of the patterns it could produce.
		I also made a crude Twin Pendulum Harmonograph, also shown in the column, but it didn't produce very interesting results.
	www.lclark.edu /~miller/harmonograph.html (1005 words)

	Amazon.ca: Harmonograph: A Visual Guide to the Mathematics of Music: Books: Anthony Ashton (Site not responding. Last check: 2007-10-30)
		Although, I had never heard of harmonographs until I saw this text in a book store recently, the drawing on the cover caught my eye immediately, as I had seen similiar drawings, created by some drawing device using pendulums, in Annie Besant and Charles Leadbeater's THOUGHT FORMS, first published over 100 years ago.
		Those who are familiar with Stephen Phillips' 1980 work: Extrasensory Perception of Quarks (which is a contempory analysis of Besant and Leadbeater's Occult Chemistry, published in 1908 and 1919) might be well inclined to take Besant and Leadbeater seriously regarding their geometric descriptions of thought forms.
		Since Besant and Leadbeater assume that there is some commonality between the shape of the thought forms they perceived and those drawn by a harmonograph, this book seems like a good introduction to this long forgotten device, which may provide some sort of conceptual framework to think about thought forms.
	www.amazon.ca /Harmonograph-Visual-Guide-Mathematics-Music/dp/0802714099 (685 words)

	Harmonograph (Site not responding. Last check: 2007-10-30)
		The two pendulum harmonograph draws attractive patterns that arise from drawing the relative path traversed by two swinging masses as their motion is slowly damped.
		The first harmonograph actually used a light beam on a screen instead of the pens on paper that are used today.
		I printed a large photo of the harmonograph, and using the basic measurement of the pen I intended to use for our harmonograph, scaled the entire instrument photograph to the pen's measurements.
	www.astronomy.swin.edu.au /~pbourke/curves/harmonograph (911 words)

	Harmonograph: A Visual Guide to the Mathematics of Music (Wooden Books) - Computer Store
		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.
		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.
	www.investordictionary.com /store/book/0802714099.aspx (666 words)

	Lansey's Alternate Resume :: Single Pendulum Harmonograph
		century, but required a bulky harmonograph (a complicated device with multiple connected pendulums).
		I first recognized this type of motion in a hanging bench swing but it is present to a small degree in almost everything that hangs on two strings.
		After seeing a double pendulum harmonograph at The Museum of Natural History (in the visiting exhibit The Exploratorium) I decided to build my own.
	web.njit.edu /~jcl7/pastimes/pendulum/index.html (1516 words)

	Kosmoi: Science: Mathematics: Graphs: Encyclo
		The other basic form comprises two or more pendula (or pendulums...) whose top ends extend a little bit above their axis, and are coupled to a pen suspended resting on a piece of paper placed on the platform of the Harmonograph.
		Weights are often located at various positions on the table to produce different oscillatory patterns, or the pendula lengths are adjusted.
		Place a camera under the flashlight, darken the room and open the lens shutter for several seconds, and set the flashlight swinging in an arc.
	www.angelfire.com /droid/subgames0402/fractal/more.shtml (495 words)

	Free Plans: How to Make a Large Harmongraph
		A harmonograph is a pendulum-based drawing board that produces beautiful curvaceous drawings.
		You can set up the harmonograph in a garage or basement and hoist it out of the way when not in use; it ends up taking virtually no space at all.
		We are listing the materials for the version of the harmonograph that we chose to make.
	www.uniqueprojects.com /projects/harmonograph/harmonograph.htm (579 words)

	Amazon.ca: Harmonograph (Site not responding. Last check: 2007-10-30)
		Harmonograph: A Visual Guide to the Mathematics of Music by Anthony Ashton (Hardcover - Aug 1 2005)
		Harmonograph by Anthony Ashton (Hardcover - Sep 4 2003)
		Harmonograph by Anthony Ashton (Hardcover - May 1 1999)
	www.amazon.ca /s?ie=UTF8&keywords=Harmonograph&search-type=ss&tag=classictvmall00-20&index=blended&dev-t=D2Y5TUCCVJ7DGE&link_code=qs&page=1 (105 words)

	MVine - Partners - Boo Hewerdine (Site not responding. Last check: 2007-10-30)
		Boo Hewerdine's stunning new album, Harmonograph, has had a fantastic reception from the press and the public alike:
		Produced by Neill MacColl, Harmonograph is a compilation of songs written by Boo but previously covered by other artists.
		You'll know many of them but perhaps didn't realise that they were his.
	www.mvine.com /music/partners/boo_hewerdine.html (235 words)

	Boo Hewerdine(Harmonograph) Artist CD Info > What's On Guides and Listings > skiddle.com (Site not responding. Last check: 2007-10-30)
		These are genuine reviews of Harmonograph from the UK press and I completely agree with them:
		I challenge you to listen to Harmonograph and not become a Boo disciple.
		Harmonograph is full of the simple pleasures good music can bring.
	www.skiddle.com /djbiog/showcd.php?cdID=B000DNVQWA (142 words)

	The Harmonograph \| MetaFilter
		March 5, 2005 2:08 PM The Harmonograph is a device that translates motion into drawings called Lissajous curves or just harmonograms.
		Topic selected after reading this book: Harmonograph: A Visual Guide to the Mathematics of Music.
		When I was a child (many moons ago) I received a present that I'd love to have kept: a plastic Harmonograph.
	www.metafilter.com /40202/The-Harmonograph (364 words)

	Sympathetic Vibratory Physics - John W. Keely's Sacred Science.
		That is when each succeeding point is drawn a little bit before or after the preceding point.
		The instructions for what we will look like when we are old are already built in to us when we are born.
		Just as inside each one of us (and in each cell of my body) lies a template of good health, harmonious relationships, and perfect expression, this is also true of every harmonograph picture.
	www.svpvril.com /svpnotes/HARMONOGRAPH_89995.html (1112 words)

	Amazon.com: Harmonograph: A Visual Guide to the Mathematics of Music (Wooden Books): Books: Anthony Ashton (Site not responding. Last check: 2007-10-30)
		Harmonograph: A Visual Guide to the Mathematics of Music (Wooden Books) by Anthony Ashton
		I'm reading my copy of Harmonograph along with Stuart Isacoff's book Temperament (also recommended), and couldn't imagine a more perfect pairing of books.
		Being musically challenged, I rely on Harmonograph to make better sense of the intervals Isacoff discusses in his book, and it does so in a brilliant, unique way.
	www.amazon.com /Harmonograph-Visual-Guide-Mathematics-Wooden/dp/0802714099 (1076 words)

	Harmonograph
		A piece of paper is taped to a board which swings below stationary ballpoint pen.
		Unlike the traditional two-pendulum harmonograph, this design uses a single pendulum which can rotate as well as swing.
		Hammer two nails or drawing pins above a door lintel and attach a board with string as shown.
	bizarrelabs.com /harmono.htm (307 words)

	Barnes & Noble.com - Books: Harmonograph, by Anthony Ashton, Hardcover
		Harmonograph: A Visual Guide to the Mathematics of Music
		Author Biography: Anthony Ashton is an economist and journalist.
		He explains insights that the pictures provide into the nature and possibilities of sound combinations.
	search.barnesandnoble.com /booksearch/isbnInquiry.asp?userid=uF7F5NAARh&isbn=0802714099&itm=1 (191 words)

	Harmonograph -- A Visual Guide to the Mathematics of Music -- Anthony Ashton
		Harmonograph -- A Visual Guide to the Mathematics of Music -- Anthony Ashton
		Drawings show the octave as triangle, the fifth as pentagram; diagrams show the principles of harmonics, overtones, and the monochord.
		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.
	www.frontlist.com /detail/0802714099 (116 words)

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