Garischismic clan

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This clan of temperaments tempers out the garischisma, [25 -14 0 -1 = 33554432/33480783, and includes these:

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 sequence12, 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 sequence12, …, 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