--- In tuning@yahoogroups.com, "Aaron Krister Johnson" <aaron@...> wrote:
>
>
> Kurt,
>
> I usually think that with only 12 notes, one should either avoid the
> 11- (or even at times the 7-limit), *or*, go for something that you
> would tend to do more spacious, non-modulating JI with, and do
> something like a Ben Johnston harmonic tuning.

I think there are interesting 11-limit possibilities with just twelve
notes. Here is the bihexany, which I think is quite interesting:

! bihexany.scl
Hole around [0, 1/2, 1/2, 1/2]
12
!
35/33
7/6
5/4
14/11
15/11
3/2
35/22
5/3
7/4
20/11
21/11
2

Tempering out 441/440 and 540/539, for instance by 161-et, is a
retuning plan.

> If you plan to modulate, that F# will get pretty annoying (IMO).
>
> I think Kraig Grady's centaur is about as far as one can take the
> 7-limit while having meantone style limited-modulation, and that's
> probably because it avoids the 11-limit...in my experience with
> 12-note tunings, once you introduce the 11-limit, you are stuck with
> only a few usable roots (traditionally speaking)

The bihexany above has a considerable quantity of 11-limit chords.