
Vince Schaefer plays music live, in a
traditional drum set format. The music utilizes
fractal and stochastic elements due to: Alternating
and random set up of pads on the DrumKAT, which can be configured in
groups from 28 and further controlled by a home
base hit (reset to 1). These groups are generally set to a
specific scale or chord or transposition, in order that while improvising,
the music always retains some degree of a rule based
structure.
1975 Definition: any of various extremely irregular curves or
shapes for which any suitably chosen part is smaller in shape to a given
larger or smaller part when magnified 1975 MerriamWebster
fractal n : a geometric pattern that is repeated at every scale and
so cannot be represented by classical
geometry
1997 Princeton University
MATHEMATICS, graphics A fractal is a rough or fragmented
geometric shape that can be subdivided in parts, each of which is (at
least approximately) a smaller copy of the whole. Fractals are generally
selfsimilar (bits look like the whole) and independent of scale (they
look similar, no matter how close you zoom in).Many mathematical
structures are fractals; e.g. Sierpinski triangle, Koch snowflake, Peano
curve, Mandelbrot set and Lorenz attractor. Fractals also describe many
realworld objects that do not have simple geometric shapes, such as
clouds, mountains, turbulence, and coastlines. Benoit Mandelbrot, the
discoverer of the Mandelbrot set, coined the term "fractal" in
1975 from the Latin fractus or "to break". He defines a fractal
as a set for which the Hausdorff Besicovich dimension strictly exceeds the
topological dimension. However, he is not satisfied with this definition
as it excludes sets one would consider fractals.
1997
IDP French Dictionary
For more Information: ["The Fractal Geometry of Nature", Benoit
Mandelbrot].
Stochastic 1 random, specifically: involving a
random variable <a stochastic process> 2 involving chance or
probability
MerriamWebster
First used musically by 18th century Swiss mathematician; Bernoulli,
regarding mathematical laws of probability. Applied to Xenakis (1922) to
musical procedures, whereby overall sound contours are determined, but
inner details are left to chance, or worked out mathematically by the
composer or a computer.
Until now, restricted to the compositional process.
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Fractal Based, and other Free software
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