Gamelismic clan: Difference between revisions
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Badness (Sintel): 0.595 | Badness (Sintel): 0.595 | ||
== | == Restles == | ||
{{See also| Lesser tendoneutralic }} | |||
Restles may be described as the {{nowrap| 77 & 87 }} temperament, and has a [[ploidacot]] signature of gamma-dodecacot. It was named by [[Petr Pařízek]] in 2011 for it is some sort of opposite to [[beatles]]<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 | [[Subgroup]]: 2.3.5.7 | ||
[[Comma list]]: 1029/1024, | [[Comma list]]: 1029/1024, 153664/151875 | ||
{{Mapping|legend=1| 1 - | {{Mapping|legend=1| 1 -2 8 4 | 0 12 -19 -4 }} | ||
: mapping generators: ~2 | : mapping generators: ~2. ~315/256 | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[WE]]: ~2 = 1200. | * [[WE]]: ~2 = 1200.0322{{c}}, ~315/256 = 358.5581{{c}} | ||
: [[error map]]: {{val| +0. | : [[error map]]: {{val| +0.032 +0.678 +1.340 -2.930 }} | ||
* [[CWE]]: ~2 = 1200.0000{{c}}, ~ | * [[CWE]]: ~2 = 1200.0000{{c}}, ~315/256 = 358.5484{{c}} | ||
: error map: {{val| 0.000 | : error map: {{val| 0.000 +0.626 +1.267 -3.019 }} | ||
{{Optimal ET sequence|legend=1| | {{Optimal ET sequence|legend=1| 77, 87, 164 }} | ||
[[Badness]] (Sintel): 2. | [[Badness]] (Sintel): 2.73 | ||
=== 11-limit === | === 11-limit === | ||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
Comma list: | Comma list: 385/384, 441/440, 153664/151875 | ||
Mapping: {{mapping| 1 - | Mapping: {{mapping| 1 -2 8 4 -7 | 0 12 -19 -4 35 }} | ||
Optimal tunings: | Optimal tunings: | ||
* WE: ~2 = 1200. | * WE: ~2 = 1200.1110{{c}}, ~27/22 = 358.6045{{c}} | ||
* CWE: ~2 = 1200.0000{{c}}, ~22 | * CWE: ~2 = 1200.0000{{c}}, ~27/22 = 358.5720{{c}} | ||
{{Optimal ET sequence|legend=0| | {{Optimal ET sequence|legend=0| 77, 87, 164, 251d }} | ||
Badness (Sintel): 1. | Badness (Sintel): 1.81 | ||
=== 13-limit === | === 13-limit === | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
Comma list: | Comma list: 196/195, 352/351, 385/384, 676/675 | ||
Mapping: {{mapping| 1 - | Mapping: {{mapping| 1 -2 8 4 -7 4 | 0 12 -19 -4 35 -1 }} | ||
Optimal tunings: | Optimal tunings: | ||
* WE: ~2 = | * WE: ~2 = 1200.0482{{c}}, ~~16/13 = 358.5883{{c}} | ||
* CWE: ~2 = 1200.0000{{c}}, ~ | * CWE: ~2 = 1200.0000{{c}}, ~16/13 = 358.5741{{c}} | ||
{{Optimal ET sequence|legend=0| | {{Optimal ET sequence|legend=0| 77, 87, 164, 251d }} | ||
Badness (Sintel): 1. | Badness (Sintel): 1.16 | ||
== | == Necromanteion == | ||
Necromanteion, named by [[Johannes Werpup]] in 2014<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_106371.html Yahoo! Tuning Group | ''Temperament ideas: A cuckoo, and two oracles'']</ref> may be described as the {{nowrap| 31 & 51c }} temperament. The generator is a subfifth representing 35/24, four of which minus two octaves make slendric's generator. Therefore, its [[ploidacot]] is wau-dodecacot. | |||
[[Subgroup]]: 2.3.5.7 | [[Subgroup]]: 2.3.5.7 | ||
[[Comma list]]: 1029/1024, | [[Comma list]]: 1029/1024, 5103/5000 | ||
{{Mapping|legend=1| 1 - | {{Mapping|legend=1| 1 -5 -7 5 | 0 12 17 -4 }} | ||
: mapping generators: ~2 | : mapping generators: ~2, ~35/24 | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[WE]]: ~2 = 1200. | * [[WE]]: ~2 = 1200.2959{{c}}, ~35/24 = 658.3833{{c}} | ||
: [[error map]]: {{val| +0. | : [[error map]]: {{val| +0.296 -2.835 +4.130 -0.879 }} | ||
* [[CWE]]: ~2 = 1200.0000{{c}}, ~ | * [[CWE]]: ~2 = 1200.0000{{c}}, ~35/24 = 658.2313{{c}} | ||
: error map: {{val| 0.000 | : error map: {{val| 0.000 -3.179 +3.619 -1.751 }} | ||
{{Optimal ET sequence|legend=1| | {{Optimal ET sequence|legend=1| 11c, 20c, 31, 144c, 175c }} | ||
[[Badness]] (Sintel): 2. | [[Badness]] (Sintel): 2.98 | ||
=== 11-limit === | === 11-limit === | ||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
Comma list: | Comma list: 176/175, 243/242, 1029/1024 | ||
Mapping: {{mapping| 1 - | Mapping: {{mapping| 1 -5 -7 5 -13 | 0 12 17 -4 30 }} | ||
Optimal tunings: | Optimal tunings: | ||
* WE: ~2 = 1200. | * WE: ~2 = 1200.2862{{c}}, ~22/15 = 658.4276{{c}} | ||
* CWE: ~2 = 1200.0000{{c}}, ~ | * CWE: ~2 = 1200.0000{{c}}, ~22/15 = 658.2805{{c}} | ||
{{Optimal ET sequence|legend=0| | {{Optimal ET sequence|legend=0| 20ce, 31, 113c, 144c }} | ||
Badness (Sintel): 1. | Badness (Sintel): 1.77 | ||
=== 13-limit === | === 13-limit === | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
Comma list: | Comma list: 144/143, 176/175, 243/242, 343/338 | ||
Mapping: {{mapping| 1 - | Mapping: {{mapping| 1 -5 -7 5 -13 7 | 0 12 17 -4 30 -6 }} | ||
Optimal tunings: | Optimal tunings: | ||
* WE: ~2 = | * WE: ~2 = 1199.3663{{c}}, ~22/15 = 658.0465{{c}} | ||
* CWE: ~2 = 1200.0000{{c}}, ~ | * CWE: ~2 = 1200.0000{{c}}, ~22/15 = 658.3800{{c}} | ||
{{Optimal ET sequence|legend=0| | {{Optimal ET sequence|legend=0| 20ce, 31, 82cf, 113cf }} | ||
Badness (Sintel): 1. | Badness (Sintel): 1.94 | ||
== Lagaca == | == Lagaca == | ||