The Middle Path

I just finished my first complete reading of Paul's paper.
Anybody know how he's calculating complexity?

I'm also disappointed with his badness formula, with so
many apparently candy-picked numbers in it. If there's
reasoning behind the numbers (/12 in the 5-limit turns
into /24 in the 7-limit for some reason) it isn't explained.

-Carl

Carl Lumma wrote:
> I just finished my first complete reading of Paul's paper.
> Anybody know how he's calculating complexity?

Sum of the absolute elements of the Tenney-weighted wedgie.

> I'm also disappointed with his badness formula, with so
> many apparently candy-picked numbers in it. If there's
> reasoning behind the numbers (/12 in the 5-limit turns
> into /24 in the 7-limit for some reason) it isn't explained.

There's an arbitrary cutoff and one other free parameter. It's not so bad. He doesn't say much about it at all which I took to mean that it wasn't important.

Graham

>> I just finished my first complete reading of Paul's paper.
>> Anybody know how he's calculating complexity?
>
>Sum of the absolute elements of the Tenney-weighted wedgie.

Thanks!

-Carl

--- In tuning-math@yahoogroups.com, Carl Lumma <ekin@...> wrote:

> I'm also disappointed with his badness formula, with so
> many apparently candy-picked numbers in it. If there's
> reasoning behind the numbers (/12 in the 5-limit turns
> into /24 in the 7-limit for some reason) it isn't explained.

I'm not sure it's a good idea to get into that with Paul; we had a
huge argument about it if you recall, and Paul became quite upset with me.