Tempering out of 33554432/33480783 - "Multiple Schismatic" Temperament?

Has any research been done into the tuning that tempers out
32805/32768, 5120/5103, and 33554432/33480783? I got these intervals
by taking the schismatic notion of having one general-purpose "comma"
used for both the Pythagorean and syntonic commas, and tried to extend
the idea to the 7-limit by having the same comma handle 64/63 as well.
33554432/33480783 is the schisma between a Pythagorean comma and
64/63, I believe.

I think this might be a useful temperament for teaching purposes. It
would also be extremely useful to extend this up to the 11-limit by
tempering the assortment similar-sized dieses we have to unison as
well. Is this just a specific type of schismatic temperament? A
multiple schismatic temperament, perhaps?

-Mike

On Thu, 2008-10-30 at 03:59 -0400, Mike Battaglia wrote:
> Has any research been done into the tuning that tempers out
> 32805/32768, 5120/5103, and 33554432/33480783? I got these intervals
> by taking the schismatic notion of having one general-purpose "comma"
> used for both the Pythagorean and syntonic commas, and tried to extend
> the idea to the 7-limit by having the same comma handle 64/63 as well.
> 33554432/33480783 is the schisma between a Pythagorean comma and
> 64/63, I believe.

It's common or garden schismatic. AKA Garibaldi.

Note that one of those intervals is redundant.

> I think this might be a useful temperament for teaching purposes. It
> would also be extremely useful to extend this up to the 11-limit by
> tempering the assortment similar-sized dieses we have to unison as
> well. Is this just a specific type of schismatic temperament? A
> multiple schismatic temperament, perhaps?

It is. Where am I? http://x31eq.com/schismic.htm#11lim

Graham