User:MisterShafXen/Septihemithirds (6272/6205)
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Here is a random rank-3 temperament I found. I suggest the name septihemithirds as it is a 7-limit (septimal) temperament that splits the perfect fifth (hemi) in two thirds. All data is from Sintel's temperament finder.
Data
Subgroup: 2.3.5.7
Comma basis: 6272/6075
EDO join: 27 & 10 & 7d
Mapping: [(1 1 2 1] (0 2 0 5] (0 0 1 1])
CWE generator tunings: ~2=1200.000, ~56/45=354.542, ~5/4=393.751
Optimal ET sequence: 7d, 10, 13d, 14, 17c
Cool misc stuff
This temperament identifies a stack of an octave, 5 56/45s, and a 5/4 with 7/1. Although this has a lot of error in JI, it comes very close in this temperament.