1-7/6-10/7-5/3

I was pondering octoid, the 11-limit 152&224 temperament, and thereby
this chord and its inversion, 1-6/5-7/5-12/7. This is a fine chord in
7-limit JI, with intervals 7/6-60/49-7/6-6/5. If 540/539 is tempered
out, so that 60/49 and 11/9 are equivalent, the 60/49 can be adjusted
towards 11/9. Octoid, or 224-et, is an excellent way of doing that; in
224 60/49 is 348.2 cents, whereas a pure 11/9 is 347.4 cents.

If we ever grow tired of naming temperaments and intervals, we could
start naming and classifying chords.

--- In tuning@yahoogroups.com, "Gene Ward Smith" <genewardsmith@...>
wrote:
>
> I was pondering octoid, the 11-limit 152&224 temperament, and thereby
> this chord and its inversion, 1-6/5-7/5-12/7. This is a fine chord in
> 7-limit JI, with intervals 7/6-60/49-7/6-6/5. If 540/539 is tempered
> out, so that 60/49 and 11/9 are equivalent, the 60/49 can be adjusted
> towards 11/9. Octoid, or 224-et, is an excellent way of doing that; in
> 224 60/49 is 348.2 cents, whereas a pure 11/9 is 347.4 cents.

I forgot to mention that 1-7/6-15/11-5/3 and 1-7/6-15/11-18/11 are
also worth considering; the same intervals in a different order.