Everybody's 26 best 5-limit temperaments?

See the spreadsheet at
http://dkeenan.com/Music/5LimitTemp.xls.zip

For those who've already seen it. I've added a button to sort by
complexity (just plain rms interval-width in gens, not weighted). And
I've added variable cutoffs on error and complexity for Gene's badness
measure. You will see that a max rms error of 35 cents and a max rms
complexity of 15 gens makes Gene's and my lists identical.

However we still need to wait to see what turns up when Gene reruns
his algorithm with my badness, (and with his own badness and a higher
badness cutoff). Something went wrong the first time he tried it.

Hey Paul, you've always accepted much larger errors than I ever would.
Is 35 cents rms extreme enough for you, for something calling itself
5-limit?

Remember those charts for my chains-of-fifths papers. I allowed up to
14 gens in an interval. You thought that was way too many to be useful
and suggested limiting it to 7. So is 15 gens extreme enough for you
now?

>See the spreadsheet at
>http://dkeenan.com/Music/5LimitTemp.xls.zip

Great. This is the best.

I can't figure out how to change ^3 to ^2 for all the "O" rows. Is
it difficult to add steps^2 badness?

>>Also, we've been at this a couple of months, long enough that what
>>we're talking about has a kind of ecosystem, so what we have names
>>for might also be considered here -- what we have names for should
>>all be in the 7-limit top 32, I'd wager. At least, for the
>>musicians' list.
>
>Not sure about 7-limit yet, but it certainly was striking in my
>spreadsheet that, although Gene provided most of the names, when you
>hit the button to sort it bykeenan badness, practically all the named
>ones went to the top and the unnamed ones to the bottom.

Cool.

-Carl

--- In tuning-math@y..., Carl Lumma <carl@l...> wrote:
> >See the spreadsheet at
> >http://dkeenan.com/Music/5LimitTemp.xls.zip
>
> Great. This is the best.
>
> I can't figure out how to change ^3 to ^2 for all the "O" rows. Is
> it difficult to add steps^2 badness?

Done.

http://dkeenan.com/Music/5LimitTemp.xls.zip

But you don't know if any are missing, since Gene hasn't supplied
us with a search based on flat badness < 160.

By the way. I checked Graham's 5limit.txt against this spreadsheet.
There weren't any that aren't in the spreadsheet (although it helped
me correct some mistakes where I didn't actually have the generator in
lowest terms).

It looks like we may have a list we can all agree on.