Keegic temperaments: Difference between revisions

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@@ Line 3: / Line 3: @@
 Temperaments discussed elsewhere include [[Very low accuracy temperaments|antitonic]], [[Trienstonic clan|kangaroo]], [[Kleismic family|keemun]], [[Meantone family|liese]], [[Archytas clan|progress]], [[Mint temperaments|subklei]], [[Marvel temperaments|triton]], [[Augmented family|trisected]], and [[Sensamagic clan|xenia]].
+== Quinkee ==
+Quinkee has a period of 1/5 octave and tempers out the [[keega]] (1029/1000), from which it derives its name. It may be described as the {{nowrap| 15 & 55 }} temperament. It was named by [[Xenllium]] in 2021.
+[[Subgroup]]: 2.3.5.7
+[[Comma list]]: 1029/1000, 6144/6125
+{{Mapping|legend=1| 5 0 9 14 | 0 3 1 0 }}
+: mapping generators: ~8/7, ~10/7
+[[Optimal tuning]]s:
+* [[WE]]: ~8/7 = 240.0512{{c}}, ~10/7 = 633.5744{{c}} (~25/24 = 86.5794{{c}})
+: [[error map]]: {{val| +0.256 -1.232 +7.722 -8.108 }}
+* [[CWE]]: ~8/7 = 240.0000{{c}}, ~10/7 = 633.4834{{c}} (~25/24 = 86.5160{{c}})
+: error map: {{val| 0.000 -1.505 +7.170 -8.826 }}
+{{Optimal ET sequence|legend=1| 15, 40, 55 }}
+[[Badness]] (Sintel): 4.66
+=== 11-limit ===
+Subgroup: 2.3.5.7.11
+Comma list: 121/120, 176/175, 1029/1000
+Mapping: {{mapping| 5 0 9 14 12 | 0 3 1 0 2 }}
+Optimal tunings:
+* WE: ~8/7 = 240.0916{{c}}, ~10/7 = 633.6802{{c}} (~22/21 = 86.5947{{c}})
+* CWE: ~8/7 = 240.0000{{c}}, ~10/7 = 633.5204{{c}} (~22/21 = 86.4796{{c}})
+{{Optimal ET sequence|legend=0| 15, 40, 55 }}
+Badness (Sintel): 2.16
+=== 13-limit ===
+Subgroup: 2.3.5.7.11.13
+Comma list: 66/65, 105/104, 121/120, 637/625
+Mapping: {{mapping| 5 9 12 14 18 20 | 0 3 1 0 2 4 }}
+Optimal tunings:
+* WE: ~8/7 = 240.0392{{c}}, ~10/7 = 632.9013{{c}} (~22/21 = 87.2162{{c}})
+* CWE: ~8/7 = 240.0000{{c}}, ~10/7 = 632.8351{{c}} (~22/21 = 87.1649{{c}})
+{{Optimal ET sequence|legend=0| 15, 40, 55 }}
+Badness (Sintel): 2.00
 == Aurora ==