Gariboh family: Difference between revisions
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The gariboh family of [[ | The '''gariboh family''' of [[planar temperament]]s tempers out the gariboh comma, [[3125/3087]]. | ||
== Gariboh | == Gariboh == | ||
Subgroup: 2.3.5.7 | |||
[[ | [[Comma list]]: [[3125/3087]] | ||
Mapping | [[Mapping]]: [{{val| 1 0 0 0 }}, {{val| 0 1 1 1 }}, {{val| 0 0 3 5 }}] | ||
Mapping generators: ~2, ~3, ~25/21 | |||
[[ | {{Val list|legend=1| 8d, 12, 29, 37, 41, 53, 94 }} | ||
[[Projection pair]]s: 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 | [[Comma list]]: 540/539, 3125/3087 | ||
[[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 }}] | ||
{{Val list|legend=1| 8d, 12e, 25bccdd, 33cd, 37ee, 41, 53, 94, 229c }} | |||
== Androboh == | |||
Subgroup: 2.3.5.7.11 | |||
[[Comma list]]: 100/99, 1375/1372 | [[Comma list]]: 100/99, 1375/1372 | ||
[[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 }}] | ||
{{Val list|legend=1| 8d, 12, 29, 37, 41, 90e, 131e }} * | |||
<nowiki>*</nowiki> [[optimal patent val]]: [[119edo|119]] | |||
[[Category:Temperament]] | [[Category:Regular temperament theory]] | ||
[[Category:Temperament family]] | |||
[[Category:Gariboh family| ]] <!-- main article --> | |||
[[Category:Rank 3]] | [[Category:Rank 3]] | ||
Revision as of 12:07, 6 November 2021
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
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]]
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]]