Re: [tuning] Digest Number 658

I have an earlier trial of the Verhulst Dynamics experiment which goes
through the chaotic regions and beyond the window where the period of 3
appears. I have posted it on my website at
http://www.geocities.com/bmames.geo. It sounds much as you imagined it. I
use it to clear my computer room of children. I feel that, with a little
work, it would make great background for a suspense movie. Just as the
killer bees attack...

I used 4000 iterations to settle to the attractor and then the lesser of 16
or the period of the attractor for the values actually stored. As you can
see from the chaotic sequence, the process creates individual notes for each
step. I later combined sucessive notes where they were equal. The staccato
notes at the end of the first sequence posted are remnants of this
combination process which I left because of the effect created.

The next challenge is to devise a method to resolve the apparent lines that
run through the chaotic regions. They are apparent to the eye and therefore
should be able to be detected by the computer. It would be interesting to
know what a blind person makes of the result.

Enjoy!

> Date: Wed, 31 May 2000 09:09:28 -0400
> From: "Keenan Pepper" <mtpepper@prodigy.net>
>Subject: Re: Re: Strange Attractors
>
>This is most interesting. I have some experience with Verhulst dynamics, and
>though I've seen the bifurcation plot many times, I've never heard it. I'm
>sure a blind person could visualize it if they heard this. It would be
>interesting to hear further along in one of the "windows" where the number
>of attractors turns suddenly from nearly infinite to, say, three. I think it
>would probably become more and more confused and dissonant until you almost
>couldn't stand it any more and then everything would suddenly be much
>simpler, if not exactly consonant (though I wonder...).
>
>How many iterations did you use? Or did you use some method that doesn't
>involve iterations? And what are those little pops in the middle, that sound
>like changing notes? And those extra staccato notes at the end?
>
>Stay Tuned,
> Keenan P.