Good 5-limit scale generators (was Ls scales, LMs ...)

Robert Valentine's dim 4th (442 c) generator made me want to do a search
for harmonically-good 5-limit generators for octave-based scales. I decided
that "harmonically-good" would mean errors no worse than 12-tET (both rms
and minimax) and at least 2 triads (one major, one minor) in a chain of 8
notes.

Here they are:

Single chain: No. gene- Notes in m/n
No. rators in smallest Gen. is
triads Min Min interval proper approx
Generator in 8 7-limit 7-limit 2 4 5 MOS with m steps
(+-1c) notes RMS err MA err. 3 5 6 >4 notes of n-tET
---------------------------------------------------------------------------
100c m2 2 12.1c 15.6c 7 4 3 11 1/12
126c m2 * 2 5.9c 7.4c -4 3 -7 9 2/19
163c n2 6 8.0c 9.9c -3 -5 2 7, 15 3/22
317c m3 * 4 1.0c 1.4c 6 5 1 15 5/19
380c M3 6 4.6c 6.0c 5 1 4 16 or 19 6/19, 13/41
414c SM3 2 11.4c 14.4c -7 -2 -5 26 10/29
504c P4 8 4.2c 5.4c -1 -4 3 5, 7 5/12, 8/19, 13/31

* Is usable for 7-limit harmony.

Most of them suck melodically, as the second-last column shows, and 2 or 4
triads in 8 notes isn't really harmonically good. But the chain of 7 notes
spaced at 163 cents might be useful. Anyone recognise it? It is Lssssss
where L=4 steps and s=3 steps of 22-tET. I guess that melodically, 4 steps
isn't really different enough from 3 steps. It only has 2 major and 2 minor
triads.

Regards,
-- Dave Keenan
http://dkeenan.com