Symmetric modes?

Paul Hahn wrote:
> Hmm. What about a mode like (in 12TET) 0, 1, 4, 6, 7, 10 (steps of
> 1-3-2-1-3-2)? It's symmetric at the tritone, but it has three different
> stepsizes.

That's an interesting question; I'm not sure, and I'd be curious to
know as well.

A couple of additional notes on that term:
1. Blackwood was especially fascinated by the 10-toned (2121212121)
in 15TET, because it's also a superset of the 15TET major scale
(3213231).
2. My saxophone teacher (a jazz man, even though I'm historically more
of a classical kinda guy) was also familiar with that term, with
reference to the octaphonic 21212121 scale in 12TET (which is
apparently is sometimes called a "diminished" scale).

Gary:

Aside from the 7/4 biz, do you know of a generalized term
for scales using only two size of intervals one after another
(like the traditional whole step, half step octatonics)
and their derivatives? I'll cc John C. who might steer me
right.

Rick

Rick Sanford wrote:
> Aside from the 7/4 biz, do you know of a generalized term
> for scales using only two size of intervals one after another
> (like the traditional whole step, half step octatonics)
> and their derivatives? I'll cc John C. who might steer me
> right.

Easley Blackwood identified those as "symmetric modes".