Gariboh family

Revision as of 18:07, 7 May 2023 by Cmloegcmluin (talk | contribs) ("optimal GPV sequence" → "optimal ET sequence", per Talk:Optimal_ET_sequence)

The gariboh family of planar temperaments tempers out the gariboh comma, 3125/3087.

Gariboh

Subgroup: 2.3.5.7

Comma list: 3125/3087

Mapping: [1 0 0 0], 0 1 1 1], 0 0 3 5]]

Mapping generators: ~2, ~3, ~25/21

Optimal ET sequence8d, 12, 29, 37, 41, 53, 94

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 ET sequence8d, 12e, 25bccdd, 33cd, 37ee, 41, 53, 94, 229c

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 ET sequence8d, 12, 29, 37, 41, 90e, 131e *

* optimal patent val: 119