Gamelismic clan: Difference between revisions

De-emphasise "gamelic". No one has used this name besides discussing the naming itself
-superkleismic (duplicate data, covered by shibboleth family)
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* ''[[Echidnic]]'' (+686/675} → [[Diaschismic family #Echidnic|Diaschismic family]]
* ''[[Echidnic]]'' (+686/675} → [[Diaschismic family #Echidnic|Diaschismic family]]
* [[Valentine]] (+126/125) → [[Starling temperaments #Valentine|Starling temperaments]]
* [[Valentine]] (+126/125) → [[Starling temperaments #Valentine|Starling temperaments]]
* [[Superkleismic]] (+875/864) → [[Shibboleth family #Superkleismic|Shibboleth family]]
* ''[[Blacksmith]]'' (+28/27) → [[Limmic temperaments #Blacksmith|Limmic temperaments]]
* ''[[Blacksmith]]'' (+28/27) → [[Limmic temperaments #Blacksmith|Limmic temperaments]]
* ''[[Trismegistus]]'' (+3125/3072) → [[Magic family #Trismegistus|Magic family]]
* ''[[Trismegistus]]'' (+3125/3072) → [[Magic family #Trismegistus|Magic family]]
Line 1,049: Line 1,050:


Badness: 0.011676
Badness: 0.011676
== Superkleismic ==
{{Main| Superkleismic }}
{{See also| Shibboleth family #Superkleismic }}
The S-expression-based comma list of superkleismic is {[[875/864|S5/S6]], [[1029/1024|S7/S8]], [[100/99|S10]], [[144/143|S12]](, [[441/440|S21]])}, from which (through careful observation of the equivalences therein) one can derive that a sharpened ~6/5 is the generator as well as the mapping of the full 13-limit.
[[Subgroup]]: 2.3.5.7
[[Comma list]]: 875/864, 1029/1024
{{Mapping|legend=1| 1 4 5 2 | 0 -9 -10 3 }}
{{Multival|legend=1| 9 10 -3 -5 -30 -35 }}
[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~6/5 = 321.930
{{Optimal ET sequence|legend=1| 11c, 15, 26, 41 }}
[[Badness]]: 0.047932
=== 11-limit ===
Subgroup: 2.3.5.7.11
Comma list: 100/99, 245/242, 385/384
Mapping: {{mapping| 1 4 5 2 4 | 0 -9 -10 3 -2 }}
Optimal tuning (POTE): ~2 = 1\1, ~6/5 = 321.847
{{Optimal ET sequence|legend=1| 11c, 15, 26, 41, 179cde, 220cde, 261ccdee }}
Badness: 0.025659
=== 13-limit ===
Subgroup: 2.3.5.7.11.13
Comma list: 100/99, 105/104, 144/143, 245/243
Mapping: {{mapping| 1 4 5 2 4 8 | 0 -9 -10 3 -2 -16 }}
Optimal tuning (POTE): ~2 = 1\1, ~6/5 = 321.994
{{Optimal ET sequence|legend=1| 11cf, 15, 26, 41 }}
Badness: 0.021478


== Lagaca ==
== Lagaca ==