The Fractal Music Project


Welcome to the Fractal Music Project


What is Fractal Music?

Fractal music is a result of a recursive 
process where an algorithm is applied multiple times to process its 
previous output. In wider perspective all musical forms, both in 
micro and macro level can be modelled with this process. Fractals 
provide  extremely interesting musical results, and the field is 
becoming one of the the most exciting fields of new music research.

Fractal music enthusiasts are encouraged to publish their works 
here. Links to physics, mathematics, algorithms and artificial 
intelligence, and further ideas concerning these pages are also 
welcomed.



The Fractal Music Mailinglist

There is now a Fractal Music mailinglist.

It's purposes are:


To inform people about news, updates, changes on the
Fractal Music Projects WWW pages.

To encourage discussion between people working in that area.



The Fractal Music Mailinglist:  fmusic@kssun7.rus.uni-stuttgart.de 

To subscribe to the list please send mail to 

fmusic-request@kssun7.rus.uni-stuttgart.de



Omar's Basement presents: Fractal Jazz



Papers on Fractal Music and related topics:

Wind,Sand, and Sea Voyages:  An Application of Granular Synthesis and Chaos to Musical Composition by Gary Lee Nelson

Chua's Oscillator:  Applications of Chaos to Sound and Music 

Recursion: A Paradigm For Future Music? by Nicholas Mucherino


Nicola Tesla and Joseph Schillinger

"THE MUSIC OF NT: The man who invented the Twentieth Century" by Bruno Degazio



Self-similar Synthesis --- On the border Between Sound and Music

, Master Thesis from Shahrokh D. Yadegari, MIT 1992. (compressed Postscript file 2.2Mb)

Denatural Noises

 by Alireza Behzadpour (German version only)



Brian Evans On-line Exhibition including Hearing the Mandelbrot Set

Dave's Fractal Music Site: use netscape (sorry lots of

inline jpegs) 

Eduardo Reck Miranda's Chaosynth Project: Cellular Automata Synthesis of Acoustic Particles

Fabio Kon's Project: The application of Fractal Geometry in Musical Analysis and Composition (papers + musical examples)

IGGY's Nano-Music Fractal Ensemble (incl. sound files, page best viewed with a HTML3 browser)







For further readings have a look at the  Fractal Music Bibliography



Informations on software for fractal music or related topics:



Generating music using Genetic Algorithms:  GAMusic 1.0

Composition Modelling Tools: Symbolic Composer

Datamusic's FRACTAL MUSIC ST

The Well-Tempered Fractal v3.0 by Robert Greenhouse

Cubic Oscillator Explorer v0.51 by Bruno Degazio



MusiNum-The Music in Numbers by Lars Kindermann

Music & DNA by Fabrizio Vasallo





Opportunity

Computer Music Composers CD Invitation

Here are some short examples of Fractal Music:

The examples are provided by Martin Guertner

The main algorithm used is based on the simple
iteration equation   x(n+1)=x(n)*b*(1-x(n))  which is also
described in the paper by Gary Nelson.
The examples are created by using one or more of these
iteration equations, mapping the output values x(n) to
different musical parameters (pitch, duration, etc.)
and generating appropriate MIDI events which are then used
to drive MIDI instruments.


Structure1 (0.33MB) 
Structure2 (0.25MB) 
Structure3 (0.37MB) 
Structure4 (0.25MB) 
Structure5 (0.35MB) 


The same files are available in a G.721 compresssed form.
Please get these files if your soundplayer supports this format.



Structure1 (0.16MB) 
Structure2 (0.12MB) 
Structure3 (0.18MB) 
Structure4 (0.12MB) 
Structure5 (0.17MB) 


For more Informations on the Fractal Music Project, please contact:



Claus-Dieter Schulz
Computer Center Univ. of Stuttgart (RUS)
Dept. Communication Systems
70550 Stuttgart
Germany

Email: schulz@rus.uni-stuttgart.de 

/C.-D.
.