30 8-note 7-limit JI scales with three tetrads

I took all subsets of three tetrads out of the 27 in the [0,0,0]
centered 27 chord chord cube in 7-limit JI. Counting the notes showed
that these can amount to 8, 9, 10, 11 or 12 notes; I selected the ones
with eight notes, obtaining 171. I then eliminated transpositions,
getting 30 scales, which I reduced to minimal Tenney height. A lot of
them are simply subsets of the 7-limit consonances; the first two
listed have the largest smallest interval, 16/15, and no interval
smaller than 7/6, giving them a fair degree of regularity.

[1, 8/7, 6/5, 5/4, 10/7, 3/2, 12/7, 7/4]
[1, 15/14, 7/6, 5/4, 7/5, 3/2, 7/4, 15/8]
[1, 7/6, 5/4, 4/3, 7/5, 3/2, 5/3, 7/4]
[1, 8/7, 6/5, 4/3, 7/5, 10/7, 8/5, 12/7]
[1, 7/6, 5/4, 4/3, 7/5, 10/7, 5/3, 7/4]
[1, 8/7, 6/5, 7/5, 10/7, 3/2, 8/5, 12/7]
[1, 7/6, 6/5, 5/4, 7/5, 3/2, 8/5, 7/4]
[1, 7/6, 6/5, 5/4, 7/5, 3/2, 12/7, 7/4]
[1, 8/7, 6/5, 4/3, 7/5, 3/2, 8/5, 12/7]
[1, 6/5, 5/4, 10/7, 3/2, 5/3, 12/7, 7/4]
[1, 8/7, 5/4, 4/3, 10/7, 8/5, 5/3, 12/7]
[1, 7/6, 5/4, 7/5, 10/7, 3/2, 5/3, 7/4]
[1, 8/7, 5/4, 10/7, 3/2, 5/3, 12/7, 7/4]
[1, 8/7, 6/5, 5/4, 10/7, 3/2, 5/3, 12/7]
[1, 21/20, 8/7, 6/5, 10/7, 3/2, 12/7, 9/5]
[1, 7/6, 5/4, 4/3, 10/7, 3/2, 5/3, 7/4]
[1, 7/6, 6/5, 7/5, 3/2, 8/5, 12/7, 7/4]
[1, 8/7, 7/6, 6/5, 4/3, 7/5, 8/5, 5/3]
[1, 8/7, 7/6, 5/4, 4/3, 10/7, 8/5, 5/3]
[1, 7/6, 6/5, 4/3, 7/5, 8/5, 5/3, 7/4]
[1, 8/7, 7/6, 5/4, 4/3, 10/7, 5/3, 12/7]
[1, 8/7, 7/6, 4/3, 7/5, 8/5, 5/3, 7/4]
[1, 8/7, 7/6, 4/3, 35/24, 8/5, 5/3, 35/18]
[1, 8/7, 7/6, 4/3, 10/7, 8/5, 5/3, 12/7]
[1, 21/20, 5/4, 21/16, 10/7, 3/2, 5/3, 7/4]
[1, 15/14, 6/5, 9/7, 7/5, 3/2, 8/5, 12/7]
[1, 25/24, 8/7, 5/4, 10/7, 35/24, 5/3, 12/7]
[1, 6/5, 5/4, 7/5, 3/2, 8/5, 12/7, 7/4]
[1, 8/7, 6/5, 4/3, 10/7, 3/2, 8/5, 12/7]
[1, 8/7, 7/6, 6/5, 4/3, 7/5, 8/5, 7/4]

--- In metatuning@yahoogroups.com, "Gene Ward Smith" <gwsmith@s...> wrote:

Sorry for the off-topic posting.