Impro Lissajous 2.0

A Lissajous figure improvising synthesis and visualised in an oscilloscope. changing waveshapes, distortions, filters, delay, some fx

A Lissajous figure improvising synthesis and visualised in an oscilloscope. changing waveshapes, distortions, filters, delay, some fx

Free download @ www.excelunusual.com A virtual oscilloscope was created in Excel for visualizing 2D and 3D Lissajous figures. A brief tutorial is included. Each slide is 5-7 seconds so the video might need to be stopped in order to follow the formulas. For the 2D-3D conversion and the view rotations there is a recipe but no detailed explanation. A future clip will get there in more detail.
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Las figuras de Lissajous, fueron descubiertas en 1857 por el científico francés Jules Antoine Lissajous que observó como aplicando sonidos con diferentes frecuencias (agudos y graves) que hicieran vibrar un espejo en el cual se reflejaba un rayo de luz, éste último era capaz de dibujar figuras, cuya forma estaba determinada por la frecuencia de éstos sonidos. Ésto que parece muy complicado se puede hacer de forma sencilla en casa. Es tan sencillo como coger una botella de plástico colgarla por su parte trasera con un cuerda y dejarla caer en forma de péndulo con tierra en su interior, eso sí cumpliendo la condición de siempre arriba tener un nudo inferior y abajo antes de la botella un nudo superior He aquí el resultado...
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Tektronix 465B oscilloscope in real-time demonstrating a mermerizing Lissajous pattern. This was created by setting 465B 'scope to XY Display mode and then feeding the Left and Right channels from the PC's sound card into the oscilloscope's X and Y inputs. The scope is a vintage Tektronix 465B Oscilloscope. For technical information on Lissajous patterns, see, for example, this website: www.egr.msu.edu The technotrance genre song is: "It's A Dream" For a 'regular' display of stereo audio signal using scope in dual-trace mode instead of XY mode, see this video: www.youtube.com .
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Lissajous Go Figure A DIY vectorscope is constructed from two pairs of speakers and a laser light pen. The four speakers face inward into a wooden box. Opposite pairs of speakers are wired out of phase, in a push-pull configuration, one pair for the horizontal axis and the other pair for the vertical axis, with each pair connected to one channel of a stereo audio signal. A laser light pen is suspended taut with fine thread and hot glue in the center of the four inward facing speakers. As stereo audio is fed to the device the pen position is displaced by movement of the speaker cones to which it is tethered. Laser light from the pen projects an illustration of the x,y plot of the interference pattern of the two waveforms of the stereo signal. In other words, the device can be used to display Lissajous figures. The instrument used to provide the stereo audio signal is a custom built synthesizer. The unit has 6 oscillators with separate control of the sin, triangle and square-wave components. Each oscillator can be panned or used to modulate another oscillator. This installation is intended to be hands on, allowing visitors to make their own adjustments to the oscillators. Users are welcome to experiment and discover what patterns they may create with the controls. A tuner will also be provided to allow precise tuning and/or reading of the oscillators. Previous Documentation: www.soundart.org
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This is a device that produces Lissajous patterns at San Francisco's wonderful Exploratorium interactive science museum. It consists of an oscilloscope and a signal generator which can be twiddled to produce two different rates of oscillation, one for each axis.
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Lissajous figure on an oscilloscope Example of how a Lissajous curve dramatically changes as the ratio a/b changes. In mathematics, a Lissajous curve (Lissajous figure or Bowditch curve, pronounced /ˈlɪsəʒuː/ and /ˈbaʊdɪtʃ/) is the graph of a system of parametric equations which describe complex harmonic motion. This family of curves was investigated by Nathaniel Bowditch in 1815, and later in more detail by Jules Antoine Lissajous (a French name pronounced [lisaˈʒu]) in 1857.

First of all, a huge thanks to arots! He gave me the link for the program and helped me sort it out. The program was Spectrum Lab. I opened the program twice, and each one played on a separate channel on my sound card, which is hooked to the oscilloscope via the headphone jack. There is a 10megohm resistor in series. I can do many things with this program. I can change the frequency very accurately, choose what waveform, i can draw my own waveform and have it play it, there is amplitude modulation (you can change the frequency, waveform and such) as well as frequency modulation, and much more. It is a Tektronix 2205 20Mhz analog oscilloscope. Set to .1 volts per diversion for a 10x probe on XY mode.
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A Tektronix 7603 Oscilloscope displays a guitar medley followed by a variety of other instruments displaying the complex L and R channel phase and amplitude relationships in music. . .
Tektronix 7603 Tektronix Lissajous Music Mike Oldfield Marantz 4400 2110 upload

A video showing the circular curves generated by a fast oscillator driven ambisonic panner. The panner is fed with a 440Hz signal and the panning frequency is slowly increased. The X and Y outputs from the panner are connected to X and Y oscilloscope inputs. The result is that we see these quite rarely seen lissajous curves, and the video shows how they rotate when the frequency ratios are not quite exact fractions.

Based on the math behind a Lissajous curve using a Cwejman stereo ringmod. You can patch a similar thing with the sine waves of a quadrature oscillator (offset 90 degrees), and 4 additional oscillators (self-oscillating resonant filters included), but they don't have to be sine waves. The broken lined "flowers" are saws and squares. The audio is filtered through a PlanB Model 12 filter that's being modulated by one of the subo-scillators (the oscillator that's synced to the master oscillator that only modulates the filter and syncs one of the "audio" oscillators). Lots of sync in the patch... Sorry about the lousy camerawork. I can't find the mount for my camera to connect to the tripod.
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Displaying a three dimensional lissajous-curve on a 4x4x4 LED-Cube powered by the max7221 display driver and an Arduino board. To get a better view, we are not only displaying the LEDs for t, but also for t+1, t+2, ... t+10. All calculations are done by the microprocessor on the Arduino board. Parameters used in this video: x(t) = sin ( t ) y(t) = sin ( 1.1 * t ) z(t) = sin ( t + 0.5 * PI ) --- Seminarfachprojekt am Jacobson Gymnasium Seesen (JGS), 2009
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Video of the Lissajous 3D screensaver. You can get your free test drive here: www.robertinventor.com After the install, you right click on the Lissajous 3D screensaver shortcut and choose Install. These patterns are based on Lissajous curves, transformed in many ways. Find out more here: www.robertinventor.com www.robertinventor.com
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This is a video clip of a Lissajous (circle) pattern on a Tektronix 454A Oscilliscope when the AM signal being shown is optimized by Breakaway Broadcast Processor software. Of note is the "closed center", 100% minus modulation, and the "growth" of the circle size, for up to +150% modulation peaks.

A quick showcase on Lissajous patterns. Let's start with basic material. First of all, watch your volumes. Things can get a bit loud. I am using Flux's free plug-in StereoTool to analyze the interactions between different audio signals (here just sine and square waves). Dull sounds can create great images. It can be a good way to understand phase issues. Enjoy!
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A Tektronix 7603 is used in XY mode to display the Left and Right Program channels in X versus Y form in Lissajous patterns. These patterns are capable of displaying the phase and magnitude of Left and Right stereo channels, letting the eyes 'see' what the ears are hearing.
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I should be able to do better than this soon. My camera's video, at 15 fps, isn't great at capturing the image's fluidity. Oscilloscope is an HP 170A, a vintage transistor/tube based monster. Signal source is a Dave Smith Instruments Evolver. I didn't record (or listen to) the sound, but I'm sure it was unexciting.

robertinventor.com You can play this animation endlessly, run it as a screensaver, and make your own patterns with your own images. Get it here: robertinventor.com You'll find the Lotus Spiral amongst the Texture exs. Find out more about the textured curves ere: robertinventor.com
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Rectangular beam is driven into vibration by electromagnetic coil (far corner) and small NeFeB magnetic attached to beam. Small microphone is used to detect the nearfield sound radiation which is directly proportional to the beam's bending vibration. Lissajous figures on the oscilloscope compare the phase of the driving signal and the responding vibration. As the microphone scans along the length of the beam the slope of the Lissajous pattern on the oscilloscope changes sign (positive or negative) each time a nodal line is crossed. Using this technique, students can map out the various bending and torsional modes of a rectangular beam.

The name says it all. Lissajous patterns using a modded, old oscilliscope and an access virus. Notice the sensual solpsism of the patterns' undulating arches. It's exquisite, analogue representations of audio masturbation. The resonant vibrations, teasing and tittilating the oscillo's, normally linear, sense of self respect. Damn these things are hard to film properly, just ask the bolshevik Alexei, who acted as director of cinematographilthy.

Demonstration of Lissajous figures displayed on an oscilloscope and colourised with my video colouriser.

You can download both the static and the dynamic versions of the model presented here at www.excelunusual.com.
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The constructed shape is based on a Lissajous pattern ( x = sin aθ , y = sin bθ ), which yields a 2D image resembling a piece of shredded wheat cereal. This shape is the result of adding a second term to each equation, and adding third dimension by swapping cosine for sine in the x equation (leaving z constant will produce the 2D example). Y and Z are swapped from the 2D algorithm because 3ds max is z-up (Maya is y-up so you would swap the y and z equations).

Video of the Lissajous 3D screensaver. You can get your free test drive here: www.robertinventor.com After the install, you right click on the Lissajous 3D screensaver shortcut and choose Install. These patterns are based on Lissajous curves, transformed in many ways. Find out more here: www.robertinventor.com www.robertinventor.com
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A laser oscillation rig a friend and I threw together one evening. Testing turned into a three hour jam session.

To make animations like this go to lissajous3d.com and get Lissajous 3D. You can also run Lissajous 3D as your screen saver. Or do you want to retune your music keyboard so you can play in any tuning - or else to retune compositions, to make music like the music in this video? Visit http The animations use Lissajous curves - originally these were made using light bouncing off tuning forks tuned to different frequencies. Lissajous 3D explores 3D versions of Lissajous curves, also spirographs - and you can transform them in many ways and add textures to get animations like this. This particular animation uses a public domain photo of a lotus, Nelumbo nucifera, by Shin-改, and public domain photos of famous paintings by Hokusai - the Great Wave off Kanagawa and Mount Fuji seen through Cherry Blossom COPYRIGHT OF ORIGINAL EXPIRED EVERYWHERE Tokyo National Museum en.wikipedia.org The Museum of Modern Art, New York commons.wikimedia.org Lotus photo - released into public domain by the author: en.wikipedia.org The music is copyright Robert Walker Used Windows Movie Maker for the transitions and text - an excellent free program which comes pre-installed on most Windows computers ABOUT THE SONG Enjoying improvising in this scale. Sometimes it can seem bright and very active, but here it is more tender and lyrical. I improvised this duet for viola and violin on the keyboard with left half set to play viola, and right part to play violin, retuned to 17-tet in Fractal Tune Smithy <b>...</b>
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Video of the Lissajous 3D screensaver with textures. You can get your free test drive here: www.robertinventor.com After the install, you right click on the Lissajous 3D screensaver shortcut and choose Install. These patterns are based on Lissajous curves, transformed in many ways. Find out more here: www.robertinventor.com www.robertinventor.com
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robertinventor.com You can make your own animations like this and play them as a screensaver or export as videos, single frames etc. If you use ribbons instead of tubes, the ribbons naturally vary in width because they are made by shifting the parameters that make the pattern - the ribbon is wider in places where the pattern is particularly sensitive to the change in the parameters. To find out more: robertinventor.com
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