Thanks much for this patch. I have not tried implementing logistic EQ on the G2, but I did some work with it in reaktor. you might find the attatched audio clip of interest:
gxaos1.mp3
Description:
recording of reaktor noodle: 4 logistic eq's, each with different constants and their own sampler. The same sample is being triggered in all 4, two strums of a dom7 chord on an acoustic guitar. The eq's are also set up to cross modulate the pitches, st
Joined: Jun 01, 2004 Posts: 517 Location: Eugene, Oregon, USA
Audio files: 4
G2 patch files: 44
Posted: Tue Jan 18, 2005 11:10 am Post subject:
egw wrote:
Could you post the equation here, or a pointer to a site that explains it?
The equation is
x[t+1] = k * x[t] * (1-x[t])
If you Google on "chaos" and "logistic equation", you'll find far more explanations than you can possibly read :') A good one is at http://hypertextbook.com/chaos/42.shtml .
How do you know that k should be between 3 and 4?
Trial and error, or is it a recommended value?
Are there any constraints on x[0] besides not equal to 0?
Joined: Jun 01, 2004 Posts: 517 Location: Eugene, Oregon, USA
Audio files: 4
G2 patch files: 44
Posted: Tue Jan 18, 2005 4:00 pm Post subject:
egw wrote:
How do you know that k should be between 3 and 4?
Trial and error, or is it a recommended value?
Are there any constraints on x[0] besides not equal to 0?
Mostly 'cause I'm taking a class in chaos theory and know all this shit real good
But the way you can really tell is from that bifurcation diagram at the bottom of the page that I referenced. This shows that for values of k (they call it r) < 3, the attractor is a fixed point - DC, in other words. No good. Even for k < ~3.57, the output is not chaotic, or even interesting - just two values (a square wave).
X[0] has to be between 0 and 1, exclusive. If it's either of those the output will go to 0. If it's greater than 1, the function goes to infinity. In G2 terms, 1 == 64; that took a while to figure out (look at the docs on the level multiplier, that's where I picked up the relevant tidbit.) The result is that the output (the green cords) swings from 0 to +64.
Zynth, now that you can see how to make this chaos patch using the G2, why not try a version of the Reaktor patch and let us see how it's done? This stuff if facinating. _________________ --Howard
my music and other stuff
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