Gariboh family: Difference between revisions

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{{Mapping|legend=1| 1 0 0 0 | 0 1 1 1 | 0 0 3 5 }}
{{Mapping|legend=1| 1 0 0 0 | 0 1 1 1 | 0 0 3 5 }}


: mapping generators: ~2, ~3, ~25/21
: Mapping generators: ~2, ~3, ~25/21
 
[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~3 = 702.4482, ~25/21 = 293.7397


{{Optimal ET sequence|legend=1| 8d, 12, 29, 37, 41, 53, 94 }}
{{Optimal ET sequence|legend=1| 8d, 12, 29, 37, 41, 53, 94 }}
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{{Mapping|legend=1| 1 0 0 0 2 | 0 1 1 1 2 | 0 0 3 5 -7 }}
{{Mapping|legend=1| 1 0 0 0 2 | 0 1 1 1 2 | 0 0 3 5 -7 }}
[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~3 = 702.7001, ~25/21 = 293.5587


{{Optimal ET sequence|legend=1| 8d, 12e, 25bccdd, 33cd, 37ee, 41, 53, 94, 229c }}
{{Optimal ET sequence|legend=1| 8d, 12e, 25bccdd, 33cd, 37ee, 41, 53, 94, 229c }}


[[Badness]]: 1.75 × 10<sup>-3</sup>
[[Badness]]: 1.75 × 10<sup>-3</sup>
=== 13-limit ===
[[Subgroup]]: 2.3.5.7.11.13
[[Comma list]]: 275/273, 325/324, 540/539
{{Mapping|legend=1| 1 0 0 0 2 2 | 0 1 1 1 2 2 | 0 0 3 5 -7 -6 }}
[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~3 = 702.5381, ~13/11 = 293.6878
{{Optimal ET sequence|legend=1| 8d, 12e, 33cd, 41, 53, 94 }}


== Androboh ==
== Androboh ==
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{{Mapping|legend=1| 1 0 0 0 2 | 0 1 1 1 0 | 0 0 3 5 6 }}
{{Mapping|legend=1| 1 0 0 0 2 | 0 1 1 1 0 | 0 0 3 5 6 }}
[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~3 = 705.0554, ~25/21 = 293.1102


{{Optimal ET sequence|legend=1| 8d, 12, 29, 37, 41, 90e, 131e }} *
{{Optimal ET sequence|legend=1| 8d, 12, 29, 37, 41, 90e, 131e }} *
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[[Badness]]: 1.20 × 10<sup>-3</sup>
[[Badness]]: 1.20 × 10<sup>-3</sup>
== Trismegiboh ==
[[Subgroup]]: 2.3.5.7.11
[[Comma list]]: 3025/3024, 3125/3087
{{Mapping|legend=1| 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 = 1\1, ~3/2 = 702.5559, ~12/11 = 147.0103
{{Optimal ET sequence|legend=1| 8d, 16, 41, 49 }}
=== 13-limit ===
[[Subgroup]]: 2.3.5.7.11.13
[[Comma list]]: 144/143, 275/273, 847/845
{{Mapping|legend=1| 1 0 0 0 2 2 | 0 1 1 1 1 1 | 0 0 6 10 -1 1 }}
[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~3/2 = 702.9404, ~12/11 = 147.1132
{{Optimal ET sequence|legend=1| 8d, 16, 41, 49 }}


[[Category:Temperament families]]
[[Category:Temperament families]]