Starling tetrad dilation scales

These temper out 126/125. The nth such scale has s(n) = 2n^2+n+2
notes, and officially s(n-1) otonal tetrads and s(n-2) utonal tetrads.
I say "officially" since with the third scale, of s(3) = 22 notes, we
find that we get a major third which in the rms tuning is only .545
cents flat in the rms tuning, a decided improvement on the official
major third, which is nearly three cents sharp in this tuning. Hence,
it seems we ought to include this appromimation also, which turns
starling into valentine, which is the 31&46 temperament we discussed
here recently. If we do that, the number of scale notes now becomes
12, 22, 34, 46 ...

Here they are as valentine scales:

12 notes

[-3, 0, 1, 3, 4, 5, 8, 9, 12, 13, 17, 21]

22 notes

[-11, -8, -7, -5, -4, -3, -2, -1, 0, 1, 3, 4, 5, 7, 8, 9, 12, 13, 16,
17, 21, 25]

34 notes

[-15, -12, -11, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5,
6, 7, 8, 9, 11, 12, 13, 15, 16, 17, 20, 21, 24, 25, 29, 33]

46 notes

[-32, -29, -28, -26, -25, -24, -23, -22, -21, -20, -19, -18, -17, -16,
-15, -14, -13, -12, -11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0,
1, 2, 3, 4, 6, 7, 8, 10, 11, 12, 15, 16, 19, 20, 24, 28]