User:Hotcrystal0/Temperaments
This page is for hotcrystal0's temperament research.
Rank-2
Tridecapyth
Tridecapyth equates a stack of twenty 3/2 octave-reduced with 13/8, or alternatively two pythagorean commas with 1053/1024.
Subgroup: 2.3.13
Comma list: 3489660928/3486784401
Subgroup-val mapping: [⟨[unfinished]]]
- mapping generators: ~2, ~3/2
- WE: ~2 = 1199.978 ¢, ~3/2 = 702.017 ¢
- error map: ⟨-0.022, +0.040, -0.011]
- CWE: ~2 = 1200.0000 ¢, ~3/2 = 702.028 ¢
- error map: ⟨0.000, +0.073, +0.039]
Optimal ET sequence: 12, 29f, 41, 53, 94, 147, 494, 641, 788, 2217, 3005
Badness (Sintel): 0.211
Rank-3
Unnamed 159 & 166 & 171
Subgroup: 2.3.5.7
Comma list: 10763703445887/10737418240000
Mapping: [⟨1 0 0], ⟨1 1 0], ⟨3 1 -3], ⟨8 -6 -4]]
- WE: ~2 = 1200.057 ¢, ~3/2 = 701.806 ¢, ~20480/15309 = 505.209 ¢
- error map: ⟨+0.057 -0.093 +0.036 -0.040]
- CWE: ~2 = 1200.000 ¢, ~3/2 = 701.777 ¢, ~20480/15309 = 505.167 ¢
- error map: ⟨0.000 -0.178 -0.039 -0.155]
Optimal ET sequence: [to be finished]
Badness (Sintel): [to be finished]