Konrad Zuse proposed the concept of the universe as a type of computer that he termed “Calculating Space”. Here Zuse poses the controversial question : “Is nature digital, analog or hybrid?” Ed Fredkin, is convinced that the universe is digital (grainy) and has developed his own “Digital Philosophy” termed Finite Nature. Fredkin believes that the digital mechanics of the universe is much like a Cellular Automata (CA), deterministic in nature but computed with unknowable determinism. Space and time in this view are discrete quantities, everything is assumed to be grainy. These cellular spaces are discrete digital universes which have their own pseudo-physical laws. CA can produce a myriad of different behaviours from ordered, through complex to chaotic and are often considered as infinte in size, although in practice they must be “wrapped” at the edges to achieve a conceptual infinity : finite but unbounded. The vast behaviour space of CA quickly transcends the limits of human perception.
ULAMIZER-II
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ULAMIZER II is a prototype CA music module, designed to be part of a studio environment for both analogue modular and MIDI synthesizers. It is designed from a musicians perspective on CA, using fundamentally new techniques resulting from Noyzelab's many years of research in this field.
ULAMIZER II : Cellular Automata Music Module
ULAMIZER-II : Some Example Trigger Sequence Patterns
Cellular Automaton Graphic Plots :
Global Spacetime Plots and Attractor Basins of Symmetric Rules
Global Spacetime Plots and Attractor Basins of Semi-asymmetric Rules
Global Spacetime Plots and Attractor Basins of Fully-asymmetric Rules
Animated Plots of Five Neighbour Rule Space Navigation (Tree F)
Animated Plots of Five Neighbour Rule Space Navigation (Tree A)
Animated Plots of Five Neighbour Rule Space Navigation (Tree 5)
Cellular Automata and Generative Music Papers :
Burraston, D. (2007) Fundamental Insights on Complex Systems arising from Generative Arts Practice. Leonardo Vol 40 (4). PDF preprint -> here
Burraston, D. (2006) Generative Music and Cellular Automata. PhD Thesis, Univ. Technology Sydney, Australia. Thesis PDF's zipped (36MB) -> thesis. The complete CDROM contents (music, images & CA data) included with PhD is -> CDROM 410MB.
Burraston, D. and Martin, A. (Nov. 2006) Digital Behaviors and Generative Music, “Wild Nature and the Digital Life” Special Issue, Leonardo Electronic Almanac Vol 14, No. 7 – 8. PDF preprint -> here
Burraston, D. (2005) Structuring Cellular Automata Rule Space with Attractor Basins. Proceedings of Generative Arts Practice Symposium 2005.PDF -> here (note that this is formatted for A5!)
Burraston, D. and Edmonds, E. (2005) Cellular Automata in Generative Electronic Music and Sonic Art : A Historical and Technical Review. Digital Creativity 16(3) pp. 165-185 PDF -> preprint
Burraston, D. (2005) Variety, Pattern and Isomorphism. Proceedings of the Third Iteration Conference. Monash University. PDF -> here
Burraston, D. (2005) Composition at the Edge of Chaos. Proceedings of the 2005 Australasian Computer Music Conference.(Brisbane, July 2005). PDF -> here
Burraston, D. (2005) One Dimensional Cellular Automata Musical Experiments with Max. Proceedings of the11th International Conference on Human-Computer Interaction. HCI International. (Invited paper presented at the conference in Las Vegas, July 2005) PDF -> here
Burraston, D. (2005) Experimental Generative Music Practice with Cellular Automata. Featured presentation at the Speculation and Innovation Conference at Queensland University of Technology. html
Burraston, D., and E. Edmonds. (2004) Global Dynamics Approach to Generative Music Experiments with One Dimensional Cellular Automata. Proceedings of the 2004 Australasian Computer Music Conference. PDF -> Page1 Pages 2-9 (For some unknown reason Word won't export this file in one pdf ?!!¿)Burraston, D., E. Edmonds, D. Livingstone, and E. Miranda. (2004) Cellular Automata in MIDI based Computer Music. Proceedings of the 2004 International Computer Music Conference. PDF -> here from Eduardo Miranda's home page or locally -> here
Cellular Automaton Data Tables :
Datafiles of basin field data were produced for 1D cellular automata as part of Appendix E (CD-ROM) of my PhD thesis. Basin of attraction field data produced by the current version of DDLab is in a slightly updated form than the Wuensche & Lesser original atlas. The data for the original atlas exists in scanned text format from the original printouts. DDLab was used to produce basin datafiles and create the first definitive electronic version of the atlas data. The attractor states are now produced in hexadecimal, a more compact representation than binary which was originally used. The benefit of having the data in this form is the ease of accessing and printing out specific basin information, and for further research. All rules have been computed from 1 cell to between 24 and 31 cells where practical, in all cases at least the minimum number of cells from the atlas have been computed. The rendering and computation mainly took place on an Apple Mac G4 400Mhz machine with 512MB of memory. As an example, the v2k5 fields for one rule would take on average between one to two weeks to compute. Full details about data export are contained in the DDLab manual, freely available from Andy Wuensche at www.ddlab.com. Note : in Wuensche's notation v = number of states, k = number of neighbours.
• zipped
boa fields for all 88 v2k3 elementary equivalence classes
• zipped boa fields for all 36 v2k5 totalistic
equivalence classes
• zipped boa fields for all v2k5
complex rules in (Wuensche 1997)
These 3 zip files are the CA basin data described in my PhD Appendix E -> All 3 sets of boa fields 11MB.
Spacetime patterns of elementary rule space (Appendix A of my PhD) laid out according to the format as shown in Fig 5.21. ->Elementary Rule Space Structure From Rule 90 Attractor Basin
Elementary Cellular Automaton Rules : A table of all v2k3 elementary rules in order from 0 to 255, their transformations, clusters, symmetry categories and Z values (Burraston 2006).
7 cell test CA sound waveforms/wavetables in AIF format, all v2k3 elementary rules, generated in 2004 with Mathematica. ->here
8 cell test CA sound waveforms/wavetables in AIF format, all v2k3 elementary rules, generated in 2004 with Mathematica. ->here
NOTE : These AIF's were rendered as wavetable's using a ramping seed value (from all 0 to all 1's). Each new seed is input after a fixed number of generations. I'll post other sets of CA waveforms/wavetables from my archives when I have time.
AC Toolbox Research (2003 - 2006)
On the AC Toolbox page are a number of pieces made during my PhD as background research, and to help create a general process for using DDLab / Mathematica / AC Toolbox to create CA sound pieces.
Information about the making of Out of Memory
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Some
information about the making of "Out of Memory" by Dave Noyze
An 11 track album release "Out of Memory" consisting of Autonomous Collective and the Godel Trilogy. Available to try and buy online from Severed Heads website (but now perhaps deleted ? ask Tom Ellard!). Extracts of this album were also played on art@radio edition 11.27.02.
Acorn

Acorn is a generative music composition that explores a small discrete cellular universe, using 2D multi state Cellular Automata. It is realised through a hybrid of mediums, analogue/digital synthesis and old/new computer technology. The algorithm was programmed in BBC BASIC on an (ancient) Acorn RISC machine. Events in the universe are mapped to synthetic speech events (allophones), tones and digital noise. Sound output is further processed by an analogue modular synthesizer (Roland System 100M & Doepfer A100). A partial view of the studio setup is shown in the image above.The final production and mixing was made by Australian electronic music legend Garry Bradbury (formerly of Severed Heads). During 2005 Acorn was premiered in concert at the Australasian Computer Music Conference in Brisbane, performed live later the same year at both the 3rd Iteration Conference in Melbourne and the Electrofringe Festival in Newcastle. The ABC Radio National program "The NightAir" featured Acorn in this episode here and an mp3 of the piece encoded at 96k is here -> Acorn
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Click on HASH sign to access video version for Liquid
Architecture 7, Performance Space, Sydney Australia 2006.
SPARKS
An updated web version of my Cellular Automata (CA) contribution to the SPARKS DVD can be found
These are some recent studies made with max and ircam openmusic environments. The openmusic stuff was submitted to Stephen Wolfram's NKS 2003 conference. Original version can be found on the SPARKS DVD from 2003 published by the Creativity and Cognition Studios, Sydney, Australia. A most amusing memory is showing my turretes video to stelarc and he pointed to it and said "it . . ..beautiful". Most of the CA images and data on the DVD is either generated with Andrew Wuensche's DDLab a specialised tool for investigating CA and discrete networks, or from Stephen Wolfram's Mathematica.
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Additional ... Some CA print works exhibited at the SPARKS event
Max Research
Brief information and screen shots of Max patches made by Dave Noyze for creating/performing generative music/video. (2000 - 2003).
Iannis Xenakis & Cellular Automata
Wuensche's Appendix (Mono Sound Piece)
A 12 minute mono sound piece in 25 parts exploring "the edge of chaos" and "order from chaos via complexity" with 5 neighbour complex rules. Click on the image to access its page.
Spatial Audio and VR Papers :
Burraston D M, Hollier M P and Hawksford M O.1997."Limitations of dynamically controlling the listening position in a 3-D ambisonic environment", Audio Engineering Society Convention 102, Preprint Number: 4460
Hollier M P, Rimell A N and Burraston D M. 1997. "Spatial audio technology for telepresence", BT Technology Journal, 15, No 4, pp33-41
Letters :
Burraston, D. Saving Roland MC4 data to computer. Sound On Sound Vol.12 No.10. August 1997. This was a letter to Chris Carter in response to his retro-review of the related Roland MC8 MicroComposer. In addition I have posted two vital flow chart pages from the MC4B manual, that do not appear in the earlier versions. Chris Carter's article on the MC8 is published on his website.