Re: symmetric tuning 12 of N at D

> > Unfortunately, most symmetric 12-tone scales do not have a mirror point.
>
> If one did, it would have to have another one exactly half an octave
> away, otherwise it would have an odd number of notes. That rules out
> all 12-tone JI scales, and all 12-tone scales embedded in odd ETs.

Doh! You are correct, the only scale I've plugged in so far that can
use the trick at D is 2 2 2 1 2 2 2 2 1 2 2 2 from 22. And I'm getting
used to a 'C' basis for these things, so I made a C version of it
as well.

One anecdote, most of my music is still strongly coming from a 12-equal
background. Now I'm beginning to Just Intonate those tunes which can
easilly map to a fixed pallette of pitches, and I'm also experimenting
with improvising in the 12-of-N scales we've been discussing.

Yesterday, my wife heard me playing an original composition (I played
guitar, accompaniement was midi) and she asked me to play another. I
started it, then things got a little strange... I
fiddled with the B string, the G. It turned out that the pianist in
the midi orchestra had inherited a piano tuned from 22tet.

Bob Valentine