Yahoo Tuning Groups Ultimate Backup harmonic_entropy RE: [tuning-math] pairwise entropy minimizer

Well ... it didn't take me long to find the Adaptive Simulated Annealing
code. The URL is http://www.ingber.com/. It's basically free, unless you
want him to do the work for you and hire him as a consultant. I downloaded
it an I'm reading through the manual right now. I don't think I need
anything this fancy for my Partch - Xenakis piece, but I might just use it
anyhow just to get used to working with it. It's in C; should run on a Linux
box and on Windows with any of the compilers (Microsoft, Borland, MinGW32).
Given that my Linux box is a boatload faster than the Windows one, I'll
probably just run it on the Linux box.
--
M. Edward (Ed) Borasky, Chief Scientist, Borasky Research
http://www.borasky-research.net http://www.aracnet.com/~znmeb
mailto:znmeb@... mailto:znmeb@...

Q: How do you get an elephant out of a theatre?
A: You can't. It's in their blood.

> -----Original Message-----
> From: M. Edward Borasky [mailto:znmeb@...]
> Sent: Sunday, June 24, 2001 10:41 PM
> To: tuning-math@yahoogroups.com; harmonic-entropy@yahoogroups.com
> Subject: RE: [tuning-math] pairwise entropy minimizer
>
>
> Hmmm ... multi-dimensional optimization isn't a particularly difficult
> problem, as long as the function to be optimized is reasonably
> well behaved.
> It does require a decent-speed CPU and some attention to software details,
> but there are actually packaged codes out there that do a pretty
> good job of
> it. I assume we're talking about chords here -- worst case being,
> say, five
> simultaneous notes??
>
> BTW, Monte Carlo is *not* particularly efficient -- genetic search and
> simulated annealing are much better. Let me do some digging; there used to
> be a guy who was giving away a first-rate simulated annealing
> code. If he's
> still around and still giving it away, I'll grab a copy.
> --
> M. Edward (Ed) Borasky, Chief Scientist, Borasky Research
> http://www.borasky-research.net http://www.aracnet.com/~znmeb
> mailto:znmeb@... mailto:znmeb@...
>
> Q: How do you get an elephant out of a theatre?
> A: You can't. It's in their blood.
>
> > -----Original Message-----
> > From: Carl Lumma [mailto:carl@...]
> > Sent: Sunday, June 24, 2001 10:11 PM
> > To: tuning-math@yahoogroups.com
> > Subject: [tuning-math] pairwise entropy minimizer
> >
> >
> > Back in the day, Paul Erlich was working on finding scales for
> > which the sum of the harmonic entropy of their dyads was low.
> > He found that this was a hard problem. He had a tool which
> > would relax a scale to a dyadic entropy minimum, but which could
> > not find a global minimum for a given cardinality. He attempted
> > to seed this program with random scales, hoping to find global
> > minima by the Monte Carlo method. Last I heard, he believed
> > that the global minimum for 5-tone scales was the usual meantone
> > pentatonic. I can not remember if...
> >
> > (1) There were ever results for other cardinalities.
> >
> > (2) If there were significant runners-up for the 5-tone case.
> >
> > ...does anyone have information on this?
> >
> > Paul, do you prefer if this is posted to the harmonic entropy list?
> >
> > -Carl
> >
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RE: [tuning-math] pairwise entropy minimizer

🔗M. Edward Borasky <znmeb@...>

🔗Carl Lumma <carl@...>