Gariboh family
- This is a list showing technical temperament data. For an explanation of what information is shown here, you may look at the technical data guide for regular temperaments.
The gariboh family of rank-3 temperaments tempers out the gariboh comma, 3125/3087.
Gariboh
Subgroup: 2.3.5.7
Mapping: [⟨1 0 0 0], ⟨0 1 1 1], ⟨0 0 3 5]]
- mapping generators: ~2, ~3, ~25/21
Optimal tuning (POTE): ~2 = 1200.0000 ¢, ~3 = 702.4482 ¢, ~25/21 = 293.7397 ¢
Optimal ET sequence: 8d, 12, 29, 37, 41, 53, 94
Badness (Smith): 0.614 × 10-3
Projection pairs: 5 – 15625/3087, 7 – 9765625/1361367 to 2.3.25/7
Undecimal gariboh
Subgroup: 2.3.5.7.11
Comma list: 540/539, 3125/3087
Mapping: [⟨1 0 0 0 2], ⟨0 1 1 1 2], ⟨0 0 3 5 -7]]
Optimal tuning (POTE): ~2 = 1200.0000 ¢, ~3 = 702.7001 ¢, ~25/21 = 293.5587 ¢
Optimal ET sequence: 8d, 12e, 25bccdd, 33cd, 37ee, 41, 53, 94, 229c
Badness (Smith): 1.75 × 10-3
13-limit
Subgroup: 2.3.5.7.11.13
Comma list: 275/273, 325/324, 540/539
Mapping: [⟨1 0 0 0 2 2], ⟨0 1 1 1 2 2], ⟨0 0 3 5 -7 -6]]
Optimal tuning (POTE): ~2 = 1200.0000 ¢, ~3 = 702.5381 ¢, ~13/11 = 293.6878 ¢
Optimal ET sequence: 8d, 12e, 33cd, 41, 53, 94
Androboh
Subgroup: 2.3.5.7.11
Comma list: 100/99, 1375/1372
Mapping: [⟨1 0 0 0 2], ⟨0 1 1 1 0], ⟨0 0 3 5 6]]
Optimal tuning (POTE): ~2 = 1200.0000 ¢, ~3 = 705.0554 ¢, ~25/21 = 293.1102 ¢
Optimal ET sequence: 8d, 12, 29, 37, 41, 90e, 131e *
Badness (Smith): 1.20 × 10-3
Trismegiboh
Subgroup: 2.3.5.7.11
Comma list: 3025/3024, 3125/3087
Mapping: [⟨1 0 0 0 2], ⟨0 1 1 1 1], ⟨0 0 6 10 -1]]
- mapping generators: ~2, ~3, ~12/11
Optimal tuning (POTE): ~2 = 1200.0000 ¢, ~3/2 = 702.5559 ¢, ~12/11 = 147.0103 ¢
Optimal ET sequence: 8d, 16, 33cd, 41, 49
13-limit
Subgroup: 2.3.5.7.11.13
Comma list: 144/143, 275/273, 847/845
Mapping: [⟨1 0 0 0 2 2], ⟨0 1 1 1 1 1], ⟨0 0 6 10 -1 1]]
Optimal tuning (POTE): ~2 = 1200.0000 ¢, ~3/2 = 702.9404 ¢, ~12/11 = 147.1132 ¢
Optimal ET sequence: 8d, 16, 33cd, 41, 49f
17-limit
Subgroup: 2.3.5.7.11.13.17
Comma list: 120/119, 144/143, 170/169, 847/845
Mapping: [⟨1 0 0 0 2 2 3], ⟨0 1 1 1 1 1 1], ⟨0 0 6 10 -1 1 -4]]
Optimal tuning (POTE): ~2 = 1200.0000 ¢, ~3/2 = 703.0799 ¢, ~12/11 = 147.2446 ¢