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Tempering for superparticular ratios

🔗Manuel Op de Coul <manuel.op.de.coul@eon-benelux.com>

6/16/2008 8:49:22 AM

I've made an addition in Scala version 2.25k of Herman Miller's recent
idea of instead of optimizing the deviations of primes, the deviations
of p/p-1 instead.
I named it MSR, for Minimax Superparticular Ratios.
The command is PROJECT/TEMPER/MSR or go to Modify:Temper.
The optimal equal temperaments for MSR are now shown by EQUALTEMP/DATA
also.

Manuel

🔗Herman Miller <hmiller@IO.COM>

6/16/2008 5:59:28 PM

Manuel Op de Coul wrote:
> I've made an addition in Scala version 2.25k of Herman Miller's recent
> idea of instead of optimizing the deviations of primes, the deviations
> of p/p-1 instead.
> I named it MSR, for Minimax Superparticular Ratios.
> The command is PROJECT/TEMPER/MSR or go to Modify:Temper.
> The optimal equal temperaments for MSR are now shown by EQUALTEMP/DATA
> also.
> > Manuel

Hmm, I keep getting "No solution".

🔗Manuel Op de Coul <manuel.op.de.coul@eon-benelux.com>

6/17/2008 7:32:17 AM

--- In tuning-math@yahoogroups.com, Herman Miller <hmiller@...> wrote:
>
> Hmm, I keep getting "No solution".

Thanks, it turns out the epsilon constant of the linear programming
module was set a bit too low. I changed it from 1E-14 to 2E-14 and now
it works better. You can download version 2.25l now.

Manuel

🔗Herman Miller <hmiller@IO.COM>

6/17/2008 7:30:51 PM

Manuel Op de Coul wrote:
> --- In tuning-math@yahoogroups.com, Herman Miller <hmiller@...> wrote:
>> Hmm, I keep getting "No solution".
> > Thanks, it turns out the epsilon constant of the linear programming
> module was set a bit too low. I changed it from 1E-14 to 2E-14 and now
> it works better. You can download version 2.25l now.

Thanks, it's working for me now. I did a few tests and it agrees with the numbers that I'm getting. Interesting that MSR magic and orwell leave the 4/3 untempered and MSR miracle leaves the 6/5 untempered...