Vector Synthesis

Figure 1. Lissajous figure on Vectrex monitor, Helsinki FI, March 2017.

Vector Synthesis: an Investigation into Sound-Modulated Light

Performing with Voltage and Vectors

The Vector Synthesis project is an audiovisual, computational art project using entirely analog synthesis and vector graphics display techniques to investigate the direct relationship between sound+image. It can be presented as a live performance or a generative installation. Driven by the waveforms of an analog synthesizer, the vertical and horizontal movements of a single beam of light trace shapes, points and curves with infinite resolution, opening a hypnotic window into the process by which the performed sound is created. [1]

Figure 2. Vector Synthesis sketch, Helsinki FI, January 2017.

Technically, the work is based on the well-known principle of Lissajous figures, which are a mathematical representation of complex harmonic motion. Originally displayed by reflecting light between mirrors attached to a pair of vibrating tuning forks, we are most used to seeing them on the screen of an oscilloscope, where they can be produced using pairs of electronic oscillators tuned to specific ratios. A 1:1 ratio can produce a line, circle, rectangle or square, depending on the waveform and phase of the oscillators being used. A 1:2 ratio produces a figure with two lobes, a 1:3 ratio produces a figure with three lobes, and so on. By connecting the same signals to a loudspeaker, so that it is possible to see and hear the same signal at once, one can draw a direct correlation between the visual shapes of the figures and the musical harmonics. Interestingly, Lissajous figures are also used in high-end audio equipment to monitor the phase relationship between the two channels of a stereo signal–an important step in mastering for vinyl record production.

The most important piece of equipment in this setup is the Cathode Ray Tube. One’s relationship to the venerable CRT depends very much on their age. So many of us grew up with one constantly around in the form of a television set, while the younger generation live in an era where these objects are rapidly realizing their manifest destiny as e-waste. Unlike modern flatscreens, CRTs draw their image with a single beam of light shot from an electron gun at the back of the tube against a phosphorescent film inside the front of the tube, which gives them their unique visual characteristic.

Video 1. Vector Synthesis: Syntheshape Depth Rotation, Helsinki FI, October 2018.

Conventional video images are said to be raster scanned, i.e. they have been quantized to a grid of horizontal scan lines traced by this light beam, so that the image you see is drawn one line at a time by a left-to-right motion combined with variations in the intensity of the beam. In contrast to this, the light beam of an oscilloscope or vector monitor (such as the one I use) can freely move horizontally or vertically at tremendous speed responding directly the the amount of electrical voltage sent to control it, and is limitless rather than constrained in its resolution.

I use two different vector monitors with this process; one is a Panasonic VP 3830 designed for technical measurements in a laboratory, the other is a Vectrex video game console from approximately 1983 which I have modified according to the instructions of Andrew Duff. Each has three main control inputs to control its light beam: the horizontal axis, the vertical axis, and the z axis (an adjustment of the brightness of the beam).

My first, entirely analog explorations of these monitors involved a self-made DC (direct current) voltage mixer which allowed me to combine up to four analog signals to each of the monitor’s inputs, control the individual and overall levels of those signals, and add an offset voltage if necessary to move the entire image up and down or left and right. With various voltage controlled oscillators, I was able to create basic Lissajous shapes from different waveforms, modulate the frequencies and amplitudes of those waveshapes, and in a fairly haphazard way derive more complicated shapes from a combination of waveforms sent to each axis and to the brightness control.

Video 2. SKETCHES for VECTOR SYNTHESIS, Helsinki FI, February 2017.

I quickly realized, however, that obtain more precise, controllable, and reproducable results, I would need to create the figures with digital signals. To this end, I created the Vector Synthesis Library. This digital signal processing toolkit allows the creation and manipulation of 2D and 3D vector shapes, Lissajous figures, and scan-processed image and video inputs using audio signals sent directly to oscilloscopes, hacked CRT monitors, Vectrex game consoles, ILDA laser displays, or oscilloscope emulation softwares using the Pure Data programming environment.

Eschewing the popular, readymade algorithms used by applications like Processing and OpenFrameworks to instead code my own 2D and 3D visualization systems using audio waveforms put me in touch with the earliest roots of computer graphics. Rather than relying on the experimental approach of the analog oscillators, here I had to engage with actual mathematics. Soon the shelves in my studio were filled with out-of-print technical textbooks from the 60’s and 70’s describing matrices, projections, beziers, and splines–all of which are quite daunting for someone who failed just about every math class they were forced to take in their life! Even more fascinating were the accounts from the early pioneers of the medium, such as John Whitney Sr., who described the amount of rendering, photographing, and film-processing time required for one 20-second sequence as “agony”, or his brother James, who was so traumatized by the experience of making “Lapis” (1966) with a modified WWII anti-aircraft gun computer that he never made another computer-assisted film again in his life.

The scan-processing section (developed in parallel with a Max/MSP implementation by Ivan Marušić Klif) is particularly exciting. It is based on the same process as the Rutt-Etra video synthesizer from the 1970’s, which allowed direct manipulation of the video raster. One could think of it as using sound to display low resolution video, and I have explored it using live webcam feeds as well as stored pictures and film clips. Along with some of the 3D model rendering functions, it brings a deliberately figurative element to the abstract, geometric space of the vector graphics.

Figure 3. Scan-processed camera image, Berlin DE, July 2017.

Video 3. Scan-processed photograph, Berlin DE, July 2017.

The main source of the signals I use to alter the shapes of the images is an analog synthesizer known as the Benjolin. The Benjolin is a standalone synthesizer designed by Rob Hordijk from the Netherlands. It contains two voltage controlled oscillators, a voltage controlled filter and a circuit called a Rungler, which allows chaotic cross-modulation possibilities between the different parts of the circuit. Hordijk refers to the Benjolin as a circuit which has been “bent by design.” I have been working with this instrument for several years now, both performing with it regularly as well as building expanded and customized versions of it for myself and other artists.

Figure 4. Dual “Butterfly” Benjolin instrument, Marfa Texas USA , March 2014.

Video 4. Vector Synthesis: Time/Energy Object, Helsinki, May 2019

My live performances and studio setups so far have involved two of these Benjolin circuits, a laptop running Pure Data, a DC-coupled soundcard (a MOTU Ultralight Hybrid), and the vector monitor. Once I have created the core shape with patches from the Vector Synthesis Library, I can then go on to modulate it with the more intuitive and immediate interface of the analog synthesizers. The combined signals of the digital vector shapes and the Benjolins are also heard through the loudspeaker. In this way, a very direct relationship between image and sound is preserved.

Digital recording and projection of the CRT vector graphics has so far been the most frustrating element, as it has been impossible to perfectly reproduce the depth, movement and details I see on the screen with any camera available to me. While in the studio I employ a DSLR camera with a large aperture lens for what is often called “rescannning” the vector images, for live performances I follow the adage that the best camera for the job is the one you have with you, and connect my iPhone camera directly to the venue’s projector. There is no lost irony in the fact that my “primitive” visual system requires a fast modern computer and hi-resolution sound card, or that while some of my favorite vector images were displayed on a tube oscilloscope from the 1950s which weighs perhaps 20kg and produces enough heat to toast bread, I present my work to the public using the smallest, most utopian electronic device of the moment.

One could sum up the main benefits of working with analog vector graphics for abstract audiovisual synthesis as follows:

  • Analog vectors are generated by a fairly low-bandwidth, audio-frequency-range signal which can be produced by very common sound hardware and software (as opposed to video signals which require frequencies of 15.625 KHz – 6.75MHz to produce detailed results), thus negating the need to invest in upgraded equipment (an important factor for novices, or for workshop situations).
  • As opposed to conventional raster graphics, analog vectors have a nearly infinite graphic resolution, constrained only by the size and sharpness of the beam in relation to the total monitor area. (There are issues of signal bandwidth which do come into play, however.)
  • The control systems for vector synthesis are highly intuitive and the results immediately tangible.
  • Vector synthesis maintains a direct, non-symbolic relationship between sound and image due to the fact that both are derived from the same signal.

Figure 5a & 5b. Vector Synthesis installation, Third Space Gallery, Helsinki FI, January 2017.

I would like to explicitly point out that there is nothing new about this process, although I would not necessarily consider that a problem. Think of how many novel controllers, interfaces, and instruments are abandoned precisely at the moment when their newness wears off, and long before any sort of virtuosity can manifest itself. (Michel Waisvisz’s The Hands being a classic example to the contrary, it was an instrument where–from a certain point–technological development was consciously minimized in order to maximize the process of developing a performing language with it.) Artists and scientists have explored the use of Lissajous patterns and other mathematically-derived patterns (take the work of Ernst Chladni, for example) long before there were analog computers, voltage controlled synthesizers, cathode ray tubes, or lasers. And once all these elements were in place, there is a wealth of such experiments from the 1950s onward by major figure such as Mary Ellen Bute, John Whitney, Larry Cuba, Manfred Mohr, Nam June Paik, Ben Laposky, and Steina & Woody Vasulka for the curious eye and ear to explore.

However, I also strongly believe that techniques and technology take on a radically different context once the move from the realm of cutting edge or contemporary to the status of abandoned, outdated, or obsolete. In the past decade, the Cathode Ray Tube has reached this status of what Garnet Hertz and Jussi Parikka call “zombie media”–a commercially-buried format resurrected by wilful misuse and creative experimentation. The current vogue of analog sound and video synthesis has produced a new generation of artists working with Lissajous patterns, vector graphics and Oscilloscope Music, and I would count among my peers Robin Fox, James Connolly and Kyle Evans (as Cracked Ray Tube), Jerobeam Fenderson, Benton C. Bainbridge, and a whole community of intrepid synthesists on the Video Circuits forum in these adventures.

Utopias and Dystopias in Media Archaeology

Video 5. 3D model visualized on 1960’s tube oscilloscope, Berlin DE, July 2017.

Vector Synthesis is the third project I have under taken with a reference to the discourse of media archaeology, and the second which explores the relationship of electronic sound and light. The first project in the media archaeology series, TONEWHEELS (2007-14), drew on the century-old technology of optical film soundtracks. Inspired by some of the pioneering 20th Century electronic music instruments, such as the Welte Licht-Ton-Orgel (“Light-Tone Organ”, Edwin Emil Welte, DE 1936), the ANS Synthesizer (Evgeny Murzin, USSR 1937-57), and the Oramics system (Daphne Oram, UK 1957-62), I developed electronic and graphical systems for modulating sound with light. In this live performance, transparent tonewheels printed with repeating patterns are spun over the same kind of light-sensitive electronic audio circuitry as can be found in a 35mm movie projector, producing pulsations and textures of sound and light. Using only overhead projectors as light source, performance interface and audience display, TONEWHEELS aimed to open up the black box of electronic music and video by exposing the working processes of the performance for the audience to see.

Figure 6a. TONEWHEELS technical overview, Berlin DE 2010.

Figure 6b. TONEWHEELS Hurdy Gurdy instrument, Le festival accès(s) cultures électroniques, Pau FR October 2012.

The second media archaeology work, Delilah Too, proposed a model of voice encryption based on the voice scrambling capabilities of the vocoder, a device far better known for its role in the history of electronic music than for its cryptologic potential. While this work did not involve any light-based processes, it did give me the opportunity to dive into texts related to this discourse more deeply, in particular the writings of Friedrich Kittler.

In this media archaeological context, it is important to point out the the history of electronic sound is more than one hundred years old, and since nearly the beginning it has been linked with light–either as accompaniment to the century of cinema which closely followed it, or actually using the optical sound reproduction technology of cinema directly as a means of creating abstract or performer-less sound.

Throughout these more-than-a-hundred years, the goals and utopias of electronic sound has changed little. We still aspire to either to imitate existing instruments, to synthesize previously unheard sounds, or to realize complex works without need of an orchestra. Likewise the dystopias have also changed little. Electronic sound remains a clumsy approximation of acoustic sounds, it still employs alienating, cold, un-emotive timbres and tones, and there still remains a fundamental disconnection between the source of the sound and what is heard. This on top of the fact that, as Kittler writes, “the entertainment industry is, in every conceivable sense of the word, an abuse of army equipment.”

Figure 7. Vector Synthesis sketch, Helsinki FI, January 2017.

Vector Synthesis also references the long history of pre-digital computing, where calculations were made by connecting the various analog signal generators and processors of massive, patchable systems, and where results were displayed as graphs and functions on a CRT monitor. One of the first practical applications of the analog computer was in controlling the trajectories of German V2 rockets as they traced their rainbow of gravity from Flanders towards London during the Second World War. And as Kittler observed, the relationship of media technology to military tools of destruction was sealed by moments such as these.

Post-war developments continued in this direction. Tennis for Two, a proto-Pong game programmed in 1958 by William Higinbotham on an analog computer at Brookhaven National Laboratories in Long Island NY USA, used an oscilloscope as the display. The laboratory itself performed government research into nuclear physics, energy technology, and national security. Indeed, as Bej Edwards writes, some of the earliest computer art–a vector representation of a Vargas pinup girl–was created by anonymous IBM engineers as a test-screen for the SAGE (Semi-Automatic Ground Environment) defense computer of the US Air Force in the late 1950s.


Fig 8. Early computer art created by anonymous IBM engineers on a SAGE (Semi-Automatic Ground Environment) defense computer. Polaroid photo by Lawrence A. Tipton, 1959, Ft. Lee Virginia USA.

In the early 1960’s, Don Buchla redesigned the existing function generators of analog computers to respond to voltage controls of their frequency and amplitude. This gave birth to the patchable, analog modular synthesizer which was subsequently expanded by others such as Bob Moog and Serge Tcherepnin. I think of this often when patch-programming my own modular systems, remembering that the signals I am creating are just as much mathematical expressions as they are movements of speakers or flashes of light.

Vector graphics were widely adopted by video game manufacturers in the late 1970’s. Perhaps the most iconic of these games is Asteroids, a space shooter released by Atari in 1979. Battle Zone (1980), Tempest (1981), and Star Wars (1983) all stand as other notable examples, and also as rudimentary training tools for the future e-warriors who would remotely guide missiles into Iraqi bunkers at the start of the next decade.

Figure 9. Vector Synthesis sketch, Helsinki FI, January 2017.

Video 6. Vector Synthesis (Ouroboros Fragment), Helsinki FI, May 2017.

My own personal interest in analog vector graphics isn’t merely retro-for-retro’s-sake. Rather, it is an exploration of a once-current and now discarded technology linked with these specific utopias and dystopias from another time. The fact that many aspects of our current utopian aspirations (and dystopian anxieties!) remain largely unchanged since the dawn of the electronic era indicates to me that seeking to satisfy them with ideas of new-ness and technological progress alone is quite problematic. Or as Rick Prelinger puts it, “the ideology of originality is arrogant and wasteful.” Therefore, an investigation into tried-and-failed methods from the past casts our current attempts and struggles in a new kind of light.

–Derek Holzer, Helsinki, February/September 2017
–This text was produced for eContact! 19.2: Light & Sound

[1] The term “vector synthesis” refers to the synthesis of analog vector graphics and accompanying audio, and should not be confused with waveform-mixing sound synthesis technique introduced by Sequential Circuits in 1986.


10.2018 – Emute Lab 2, Brighton UK
10.2018 – VectorHack Festival, Zagreb HR & Ljubljana SI
08.2018 – Pori Art Museum, Pori FI
08.2018 – Myymälä2 gallery, Helsinki FI
05.2018 – (residency) Radio Belgrade Studio, Belgrade SRB
05.2018 – Mapping Festival, Geneve CH
04.2018 – AAVE Festival, Helsinki FI
04.2018 – Seeing Sound Conference, Bath Spa University, Bath UK
02.2018 – (workshop) Piksel, Bergen NO
02.2018 – Estonian Contemporary Art Museum, Tallinn EE
11.2017 – (performance) Piksel, Bergen NO
11.2017 – Noisy November, Viljandi EE
11.2017 – MuTe Fest, Music House, Helsinki FI
11.2017 – (workshop + perf.) Copenhagen DK
10.2017 – Meq Festival, Montpelier FR
10.2017 – Simultan Festival, Timișoara RO
07.2017 – (workshop + perf.) Spektrum, Berlin DE
06.2017 – Cirkulacija2 Residency, Ljubljana SI
04.2017 – CMT/Sibelius Academy, Helsinki FI
03.2017 – Ääniaalto, Vapaan Taiteen Tila, Helsinki FI
02.2017 – Aalto University Media Lab, Espoo FI
01.2017 – Third Space Gallery, Helsinki FI
01.2017 – De Player, Rotterdam NL
12.2015 – Spektrum, Berlin DE
10.2015 – Signal Culture Toolmaker Residency, Owego NY USA


  • High-contrast data projector
  • HDMI connection from stage to projector
  • Stable camera tripod
  • Standard camera tripod screw size = 1/4 inch/6.35mm, 20 threads per inch
  • As a couple of HDMI projectors have not recognized my HDMI iPhone6 Lightning connection in the past, a cross converter such as Datavideo DAC-70, DECIMATOR MD-HX or similar may be necessary to ensure proper data transfer
  • 1m x 2m table set at 1m height
  • Mackie 1604 or similar mixer, (inquire before substituting pls)
  • Stereo connection to PA, with sufficient bass for the room
  • Switched powerstrip with minimum 7 outlets
  • Two hour setup time
  • 30 minute soundcheck
  • +/-30 minute performance


Duff, Andrew. “Vectrex Minijack Input Mod”. 2014.

Edwards, Benj. “The Never-Before-Told Story of the World’s First Computer Art (It’s a Sexy Dame)”. The Atlantic, JAN 2013.

Hertz, Garnet; Parikka, Jussi. “Zombie Media: Circuit Bending Media Archaeology into an Art Method”. Leonardo, Volume 45, No. 5, 2012, pp 424-430.

Holzer, Derek. Vector Synthesis Library. 2017.

Hordijk, Rob. “The Blippoo Box: A Chaotic Electronic Music Instrument, Bent by Design”. Leonardo Music Journal, Volume 19, 2009, pp. 35-43.

Kittler, Friedrich. Gramophone Film Typewriter, Stanford University Press. 1999.

Klif, Ivan Marušić. REWEREHERE. 2017.

LZX Industries. “Frequency Ranges”. Accessed on 15.02.17

Patterson, Zabet. “From the Gun Controller to the Mandala: The Cybernetic Cinema of John and James Whitney”. IN: Mainframe Experimentalism: Early Computing and the Foundations of the Digital Arts (Higgins, Hannah B & Kahn, Douglas, ed.). University of California, 201

Prelinger, Rick. “On the Virtues of Preexisting Material”, 2007. Revised in: Contents Issue # 5, JAN-APR 2013,

Torre, Giuseppe; Andersen, Kristina; Baldé, Frank. “The Hands: The Making of a Digital Musical Instrument”. Computer Music Journal, 40:2, Summer 2016, pp. 22-34.

Vasulka, Steina & Woody. “Bill Etra & Steve Rutt”. IN: Eigenwelt der Apparatewelt: Pioneers of Electronic Art. Ars Electronica, 1992.

Whitney, John Sr. “Experiments in Motion Graphics”. 16mm film, color, sound, 11:54. IBM, 1968.