Gariboh clan: Difference between revisions
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* ''[[Trismegistus]]'' (+1029/1024) → [[Magic family #Trismegistus|Magic family]] | * ''[[Trismegistus]]'' (+1029/1024) → [[Magic family #Trismegistus|Magic family]] | ||
* [[Submerged]] (+525/512) → [[Avicennmic temperaments #Submerged|Avicennmic temperaments]] | * [[Submerged]] (+525/512) → [[Avicennmic temperaments #Submerged|Avicennmic temperaments]] | ||
For no-twos extensions, see [[No-twos subgroup temperaments #Sirius|No-twos subgroup temperaments]]. | Considered below is semaja. For no-twos extensions, see [[No-twos subgroup temperaments #Sirius|No-twos subgroup temperaments]]. | ||
== Semaja == | |||
{{See also| Llywelynsmic clan }} | |||
Cryptically named by [[Petr Pařízek]] in 2011, semaja adds the [[porwell comma]] to the comma list, and may be described as the {{nowrap| 37 & 53 }} temperament. Its [[ploidacot]] is gamma-19-cot (or alpha-heptaseph due to a much simpler [[2.5.7 subgroup|2.5.7-subgroup]] [[restriction]]). The name actually refers to the fact that two of its ~[[8/7]] generator steps reach a ~[[13/10]]<ref name="petr's long post">[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_101780.html Yahoo! Tuning Group | ''Suggested names for the unclasified temperaments'']</ref>. | |||
[[Subgroup]]: 2.3.5.7 | |||
[[Comma list]]: 3125/3087, 6144/6125 | |||
{{Mapping|legend=1| 1 -2 1 3 | 0 19 7 -1 }} | |||
: mapping generators: ~2, ~8/7 | |||
[[Optimal tuning]]s: | |||
* [[WE]]: ~2 = 1199.4860{{c}}, ~8/7 = 226.3864{{c}} | |||
: [[error map]]: {{val| -0.514 +0.415 -2.123 +3.246 }} | |||
* [[CWE]]: ~2 = 1200.0000{{c}}, ~8/7 = 226.4697{{c}} | |||
: error map: {{val| 0.000 +0.970 -1.026 +4.704 }} | |||
{{Optimal ET sequence|legend=1| 16, 37, 53, 196d }} | |||
[[Badness]] (Sintel): 2.71 | |||
=== 11-limit === | |||
Subgroup: 2.3.5.7.11 | |||
Comma list: 121/120, 176/175, 3125/3087 | |||
Mapping: {{mapping| 1 -2 1 3 1 | 0 19 7 -1 13 }} | |||
Optimal tunings: | |||
* WE: ~2 = 1199.9818{{c}}, ~8/7 = 226.4821{{c}} | |||
* CWE: ~2 = 1200.0000{{c}}, ~8/7 = 226.4851{{c}} | |||
{{Optimal ET sequence|legend=0| 16, 37, 53 }} | |||
Badness (Sintel): 1.98 | |||
=== 13-limit === | |||
Subgroup: 2.3.5.7.11.13 | |||
Comma list: 121/120, 169/168, 176/175, 275/273 | |||
Mapping: {{mapping| 1 -2 1 3 1 2 | 0 19 7 -1 13 9 }} | |||
Optimal tunings: | |||
* WE: ~2 = 1200.1020{{c}}, ~8/7 = 226.4987{{c}} | |||
* CWE: ~2 = 1200.0000{{c}}, ~8/7 = 226.4822{{c}} | |||
{{Optimal ET sequence|legend=0| 16, 37, 53 }} | |||
Badness (Sintel): 1.35 | |||
== References == | |||
[[Category:Temperament clans]] | [[Category:Temperament clans]] | ||
[[Category:Gariboh clan| ]] <!-- main article --> | [[Category:Gariboh clan| ]] <!-- main article --> | ||
[[Category:Rank 2]] | [[Category:Rank 2]] | ||