Garischismic clan
This clan of temperaments tempers out the garischisma, [25 -14 0 -1⟩ = 33554432/33480783, and includes these:
- Garibaldi, {225/224, 3125/3087} → Schismatic family
- Newt, {2401/2400, 33554432/33480783} → Breedsmic temperaments
- Quintagar, {3136/3125, 33554432/33480783} → Quindromeda family
- Vulture, {4375/4374, 33554432/33480783} → Vulture family
- Trident, {6144/6125, 14348907/14336000} → Tricot family
- Cotoneum, {10976/10935, 823543/819200} → Hemimage temperaments
- Paramity, {65625/65536, 1600000/1594323} → Amity family
- Garistearn, {118098/117649, 33554432/33480783} → Stearnsmic clan
- Sextile, {250047/250000, 33554432/33480783} → Landscape microtemperaments
- Satin, {2100875/2097152, 4802000/4782969} → Canousmic temperaments
Gary
Subgroup: 2.3.7
Comma list: 33554432/33480783
Sval mapping: [⟨1 2 -3], ⟨0 -1 14]]
POTE generator: ~3/2 = 702.2079
Optimal GPV sequence: 12, 29, 41, 94, 135, 364, 499, 634, 3035bd, 3669bd, 4303bd, 4937bbdd, 5571bbdd
Badness: 0.0135
2.3.7.11 subgroup
Subgroup: 2.3.7.11
Comma list: 19712/19683, 41503/41472
Sval mapping: [⟨1 2 -3 13], ⟨0 -1 14 -23]]
POTE generator: ~3/2 = 702.2292
Vals: 12e, 41, 94, 135, 716, 851, 986, 1121, 1256
Badness: 0.00731
World calendar
World calendar tempers out the dimcomp comma and the garischisma, and can be described as the 12 & 364 temperament. The name derives from a certain calendar layout by the same name.
Subgroup: 2.3.5.7
Comma list: 390625/388962, 33554432/33480783
Mapping: [⟨4 1 -44 86], ⟨0 2 -13 -28]]
Mapping generators: ~25/21, ~91125/57344
POTE generator: ~91125/57344 = 801.0947
Optimal GPV sequence: 12, …, 352, 364
Badness: 0.292
2.3.5.7.17 subgroup
Subgroup: 2.3.5.7.17
Comma list: 2025/2023, 24576/24565, 390625/388962
Sval mapping: [⟨4 1 -44 86 3], ⟨0 2 -13 -28 5]]
POTE generator: ~27/17 = 801.0908
Optimal GPV sequence: 12, …, 352, 364
Badness: 0.0743
2.3.5.7.17.19 subgroup
Subgroup: 2.3.5.7.17.19
Comma list: 1216/1215, 2025/2023, 8075/8064, 48013/48000
Sval mapping: [⟨4 1 -44 86 3 25], ⟨0 2 -13 -28 5 -3]]
POTE generator: ~27/17 = 801.0945
Optimal GPV sequence: 12, …, 352, 364
Badness: 0.0378