Gamelismic clan: Difference between revisions

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Badness (Sintel): 0.595
Badness (Sintel): 0.595


== Necromanteion ==
== Restles ==
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.
{{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, 5103/5000
[[Comma list]]: 1029/1024, 153664/151875


{{Mapping|legend=1| 1 -5 -7 5 | 0 12 17 -4 }}
{{Mapping|legend=1| 1 -2 8 4 | 0 12 -19 -4 }}
: mapping generators: ~2, ~35/24
: mapping generators: ~2. ~315/256


[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
* [[WE]]: ~2 = 1200.2959{{c}}, ~35/24 = 658.3833{{c}}
* [[WE]]: ~2 = 1200.0322{{c}}, ~315/256 = 358.5581{{c}}
: [[error map]]: {{val| +0.296 -2.835 +4.130 -0.879 }}
: [[error map]]: {{val| +0.032 +0.678 +1.340 -2.930 }}
* [[CWE]]: ~2 = 1200.0000{{c}}, ~35/24 = 658.2313{{c}}
* [[CWE]]: ~2 = 1200.0000{{c}}, ~315/256 = 358.5484{{c}}
: error map: {{val| 0.000 -3.179 +3.619 -1.751 }}
: error map: {{val| 0.000 +0.626 +1.267 -3.019 }}


{{Optimal ET sequence|legend=1| 11c, 20c, 31, 144c, 175c }}
{{Optimal ET sequence|legend=1| 77, 87, 164 }}


[[Badness]] (Sintel): 2.98
[[Badness]] (Sintel): 2.73


=== 11-limit ===
=== 11-limit ===
Subgroup: 2.3.5.7.11
Subgroup: 2.3.5.7.11


Comma list: 176/175, 243/242, 1029/1024
Comma list: 385/384, 441/440, 153664/151875


Mapping: {{mapping| 1 -5 -7 5 -13 | 0 12 17 -4 30 }}
Mapping: {{mapping| 1 -2 8 4 -7 | 0 12 -19 -4 35 }}


Optimal tunings:  
Optimal tunings:  
* WE: ~2 = 1200.2862{{c}}, ~22/15 = 658.4276{{c}}
* WE: ~2 = 1200.1110{{c}}, ~27/22 = 358.6045{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~22/15 = 658.2805{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~27/22 = 358.5720{{c}}


{{Optimal ET sequence|legend=0| 20ce, 31, 113c, 144c }}
{{Optimal ET sequence|legend=0| 77, 87, 164, 251d }}


Badness (Sintel): 1.77
Badness (Sintel): 1.81


=== 13-limit ===
=== 13-limit ===
Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13


Comma list: 144/143, 176/175, 243/242, 343/338
Comma list: 196/195, 352/351, 385/384, 676/675


Mapping: {{mapping| 1 -5 -7 5 -13 7 | 0 12 17 -4 30 -6 }}
Mapping: {{mapping| 1 -2 8 4 -7 4 | 0 12 -19 -4 35 -1 }}


Optimal tunings:  
Optimal tunings:  
* WE: ~2 = 1199.3663{{c}}, ~22/15 = 658.0465{{c}}
* WE: ~2 = 1200.0482{{c}}, ~~16/13 = 358.5883{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~22/15 = 658.3800{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~16/13 = 358.5741{{c}}


{{Optimal ET sequence|legend=0| 20ce, 31, 82cf, 113cf }}
{{Optimal ET sequence|legend=0| 77, 87, 164, 251d }}


Badness (Sintel): 1.94
Badness (Sintel): 1.16


== Restles ==
== Necromanteion ==
{{See also| Lesser tendoneutralic }}
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.
 
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, 153664/151875
[[Comma list]]: 1029/1024, 5103/5000


{{Mapping|legend=1| 1 -2 8 4 | 0 12 -19 -4 }}
{{Mapping|legend=1| 1 -5 -7 5 | 0 12 17 -4 }}
: mapping generators: ~2. ~315/256
: mapping generators: ~2, ~35/24


[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
* [[WE]]: ~2 = 1200.0322{{c}}, ~315/256 = 358.5581{{c}}
* [[WE]]: ~2 = 1200.2959{{c}}, ~35/24 = 658.3833{{c}}
: [[error map]]: {{val| +0.032 +0.678 +1.340 -2.930 }}
: [[error map]]: {{val| +0.296 -2.835 +4.130 -0.879 }}
* [[CWE]]: ~2 = 1200.0000{{c}}, ~315/256 = 358.5484{{c}}
* [[CWE]]: ~2 = 1200.0000{{c}}, ~35/24 = 658.2313{{c}}
: error map: {{val| 0.000 +0.626 +1.267 -3.019 }}
: error map: {{val| 0.000 -3.179 +3.619 -1.751 }}


{{Optimal ET sequence|legend=1| 77, 87, 164 }}
{{Optimal ET sequence|legend=1| 11c, 20c, 31, 144c, 175c }}


[[Badness]] (Sintel): 2.73
[[Badness]] (Sintel): 2.98


=== 11-limit ===
=== 11-limit ===
Subgroup: 2.3.5.7.11
Subgroup: 2.3.5.7.11


Comma list: 385/384, 441/440, 153664/151875
Comma list: 176/175, 243/242, 1029/1024


Mapping: {{mapping| 1 -2 8 4 -7 | 0 12 -19 -4 35 }}
Mapping: {{mapping| 1 -5 -7 5 -13 | 0 12 17 -4 30 }}


Optimal tunings:  
Optimal tunings:  
* WE: ~2 = 1200.1110{{c}}, ~27/22 = 358.6045{{c}}
* WE: ~2 = 1200.2862{{c}}, ~22/15 = 658.4276{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~27/22 = 358.5720{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~22/15 = 658.2805{{c}}


{{Optimal ET sequence|legend=0| 77, 87, 164, 251d }}
{{Optimal ET sequence|legend=0| 20ce, 31, 113c, 144c }}


Badness (Sintel): 1.81
Badness (Sintel): 1.77


=== 13-limit ===
=== 13-limit ===
Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13


Comma list: 196/195, 352/351, 385/384, 676/675
Comma list: 144/143, 176/175, 243/242, 343/338


Mapping: {{mapping| 1 -2 8 4 -7 4 | 0 12 -19 -4 35 -1 }}
Mapping: {{mapping| 1 -5 -7 5 -13 7 | 0 12 17 -4 30 -6 }}


Optimal tunings:  
Optimal tunings:  
* WE: ~2 = 1200.0482{{c}}, ~~16/13 = 358.5883{{c}}
* WE: ~2 = 1199.3663{{c}}, ~22/15 = 658.0465{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~16/13 = 358.5741{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~22/15 = 658.3800{{c}}


{{Optimal ET sequence|legend=0| 77, 87, 164, 251d }}
{{Optimal ET sequence|legend=0| 20ce, 31, 82cf, 113cf }}


Badness (Sintel): 1.16
Badness (Sintel): 1.94


== Lagaca ==
== Lagaca ==