Gariboh family: Difference between revisions
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m Removing from Category:Regular temperament theory using Cat-a-lot |
Cmloegcmluin (talk | contribs) "optimal GPV sequence" → "optimal ET sequence", per Talk:Optimal_ET_sequence |
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Mapping generators: ~2, ~3, ~25/21 | Mapping generators: ~2, ~3, ~25/21 | ||
{{ | {{Optimal ET sequence|legend=1| 8d, 12, 29, 37, 41, 53, 94 }} | ||
[[Projection pair]]s: 5 – 15625/3087, 7 – 9765625/1361367 to 2.3.25/7 | [[Projection pair]]s: 5 – 15625/3087, 7 – 9765625/1361367 to 2.3.25/7 | ||
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[[Mapping]]: [{{val| 1 0 0 0 2 }}, {{val| 0 1 1 1 2 }}, {{val| 0 0 3 5 -7 }}] | [[Mapping]]: [{{val| 1 0 0 0 2 }}, {{val| 0 1 1 1 2 }}, {{val| 0 0 3 5 -7 }}] | ||
{{ | {{Optimal ET sequence|legend=1| 8d, 12e, 25bccdd, 33cd, 37ee, 41, 53, 94, 229c }} | ||
== Androboh == | == Androboh == | ||
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[[Mapping]]: [{{val| 1 0 0 0 2 }}, {{val| 0 1 1 1 0 }}, {{val| 0 0 3 5 6 }}] | [[Mapping]]: [{{val| 1 0 0 0 2 }}, {{val| 0 1 1 1 0 }}, {{val| 0 0 3 5 6 }}] | ||
{{ | {{Optimal ET sequence|legend=1| 8d, 12, 29, 37, 41, 90e, 131e }} * | ||
<nowiki>*</nowiki> [[optimal patent val]]: [[119edo|119]] | <nowiki>*</nowiki> [[optimal patent val]]: [[119edo|119]] | ||
Revision as of 18:07, 7 May 2023
The gariboh family of planar 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 ET sequence: 8d, 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 sequence: 8d, 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]]