Shismic & co

6115295232/6103515625 = 2^23 3^6 5^-15 Semisuper

Map:

[ 0 2]
[ 7 -3]
[ 3 2]

Generators: a = 52.00397043/118 (~3125/2304); b = 1/2

I gave the generator the silly name of "semisuper fourth" so as to get the silly name "Semisuper" for this system. I'm open for suggestions.

badness: 190
rms: .1940
g: 9.933
errors: [.0226, .2081, .2255]

2^-15 3^-19 5^19 [(5/3)^19 ~ 2^14] Enneadecal

Map:

[ 0 19]
[-1 38]
[-1 52]

Generators: a = 204.99802229/494 (~4/3); b = 1/19

badness: 391
rms: .1048
g: 15.513
errors: [.0741, -.0741, -.1482]

152, 171 and 323 work also, but 494 is the only et which really hits it.

32805/32768 Shismic

Map:

[ 0 1]
[-1 2]
[ 8 1]

Generators: a = 120.000624/289 (~4/3); b = 1

badness: 55
rms: .1617
g: 6.976
errors: [-.2275, -.1338, .0937]

2^-52 3^-17 5^34 [(25/24)^17 ~ 2] Heptadecal

Map:

[ 0 17]
[ 2 16]
[ 1 34]

a = 196.998525/612 (~5/4); b = 1/17

612 does this, Ennealimmal, *and* the similar 12 system whose proposed name I've forgotten!

badness: 478
rms: .03437
g: 24.042
errors: [0, -.0421, .0421]