You may (or may not, if you are on the brink of sanity) enjoy the following
video whose music, by renowned algorithmic composer René-Louis Baron (recipient of the
first patent in mathematical music composition), is constructed entirely with
fractal pattern employment. For those of you not following, that means every
single note was chosen as part of a larger, iterated mathematical pattern
translated to music. The crux of fractal music is often what is referred to as
the Cantor set-a recursively-defined pattern whose elements are represented
by:
Asub(n)=Asub(n-1) \ U < iterated:
k approaches infinity from k=0> [(1+3k)/3^n, (2+3k)/3^n]
or
C=∏Asub(n)
...obviously.
I mean, Beethoven did it for his first Ecossaise. The essence of
fractal music created with Cantor's pattern lies in its iterated, fractal
sequences based on multiples of sixteen often in what are hierarchical, or
architectonic patterns-musicologist jargon for chromatic fractal
arrangement.
While the
music may sound terrible, it's sadistically thrilling to think how much time one
French guy wasted in composing it using Cantor's set and what sounds like the
synthesizer from Super Mario 64.
Think while
you listen.
PS: a helpful
academic perspective on fractal composition----> http://www.unc.edu/~jimlee/JohnObrienFractalMusic.htm
No comments:
Post a Comment
Note: Only a member of this blog may post a comment.