@@ Line 632: / Line 632: @@
 [[Badness]] (Sintel): 1.52
-== Bixby ==
+== Oviminor ==
-{{Main| Bixby }}
+: ''For the 5-limit version, see [[Syntonic–kleismic equivalence continuum #Oviminor (5-limit)]].''
-[[Subgroup]]: 2.3.5
+Oviminor was named by [[Eliora]] in 2022 after the facts that it takes 184 minor thirds of [[6/5]] to reach the interval class of [[4/3]], the Roman consul was Eggius in the year 184 AD, and the Latin word for egg is ovum, and with prefix ovi-. It sets a new record of complexity for a chain of nineteen 6/5's past [[egads]], though it is less accurate.
-[[Comma list]]: [[4/3]]
+[[Subgroup]]: 2.3.5.7
-{{Mapping|legend=1| 1 2 0 | 0 0 1 }}
+[[Comma list]]: 4375/4374, {{monzo| -100 53 48 -34 }}
-[[Optimal tuning]]s:
+{{Mapping|legend=1| 1 -134 -134 -401 | 0 184 185 548 }}
-* [[WE]]: ~2 = 1020.058{{c}}, ~5/4 = 674.394{{c}}
+: mapping generators: ~2, ~5/3
-: [[error map]]: {{val| -179.942 +138.161 -71.803 }}
-* [[CWE]]: ~2 = 1200.000{{c}}, ~5/4 = 629.521{{c}}
-: error map: {{val| 0.000 +498.045 +243.208 }}
-{{Optimal ET sequence|legend=1| 1c, 2b, 3bbcc }}
-[[Badness]] (Sintel): 0.424
-== Archon ==
-{{Main| Archon }}
-[[Subgroup]]: 2.3.5
-[[Comma list]]: [[5/4]]
-{{Mapping|legend=1| 1 0 2 | 0 1 0 }}
-[[Optimal tuning]]s:
-* [[WE]]: ~2 = 1268.274{{c}}, ~3/2 = 612.921{{c}}
-: [[error map]]: {{val| +68.274 -20.760 -249.765 }}
-* [[CWE]]: ~2 = 1200.000{{c}}, ~3/2 = 614.055{{c}}
-: error map: {{val| 0.000 -87.900 -386.314 }}
-{{Optimal ET sequence|legend=1| 2c }}
-[[Badness]] (Sintel): 0.474
-== Seesaw ==
-{{Main| Seesaw }}
-Seesaw tempers out the [[6/5|classic minor third (6/5)]], equating the [[5/1|fifth]] and [[6/1|sixth harmonic]]s. It was named by [[User:Xenllium|Xenllium]] in 2026.
-[[Subgroup]]: 2.3.5
-[[Comma list]]: 6/5
-{{Mapping|legend=1| 1 0 1 | 0 1 1 }}
 [[Optimal tuning]]s:
-* [[WE]]: ~2 = 1155.569{{c}}, ~3/2 = 643.349{{c}}
+* [[WE]]: ~2 = 1200.0193{{c}}, ~5/3 = 884.2638{{c}}
-: [[error map]]: {{val| -44.431 -103.037 +168.173 }}
+: [[error map]]: {{val| +0.019 +0.010 -0.085 +0.032 }}
-* [[CWE]]: ~2 = 1200.000{{c}}, ~3/2 = 627.511{{c}}
+* [[CWE]]: ~2 = 1200.0000{{c}}, ~5/3 = 884.2497{{c}}
-: error map: {{val| 0.000 -74.444 +241.197 }}
+: error map: {{val| 0.000 -0.011 -0.120 +0.008 }}
-{{Optimal ET sequence|legend=1| 2 }}
-[[Badness]] (Sintel): 0.367
-=== 2.3.5.11 subgroup ===
-This temperament is extended to the 2.3.5.11 subgroup naturally, tempering out both [[11/10]] and [[12/11]], undecimal neutral seconds.
-Subgroup: 2.3.5.11
-Comma list: 6/5, 11/10
-Mapping: {{mapping| 1 0 1 2 | 0 1 1 1 }}
-Optimal tunings:
-* WE: ~2 = 1156.418{{c}}, ~3/2 = 643.202{{c}}
-* CWE: ~2 = 1200.000{{c}}, ~3/2 = 627.023{{c}}
-{{Optimal ET sequence|legend=0| 2 }}
-Badness (Sintel): 0.499
-=== Heavy windmill ===
-Heavy windmill tempers out [[9/7]] and [[15/14]] in the 7-limit.
-Subgroup: 2.3.5.7
-Comma list: 6/5, 9/7
-Mapping: {{mapping| 1 0 1 0 | 0 1 1 2 }}
-Optimal tunings:
-* WE: ~2 = 1161.600{{c}}, ~3/2 = 571.169{{c}}
-* CWE: ~2 = 1200.000{{c}}, ~3/2 = 559.563{{c}}
-{{Optimal ET sequence|legend=0| 2 }}
-Badness (Sintel): 0.676
-==== 11-limit ====
-Subgroup: 2.3.5.7.11
-Comma list: 6/5, 9/7, 11/10
-Mapping: {{mapping| 1 0 1 0 2 | 0 1 1 2 1 }}
-Optimal tunings:
-* WE: ~2 = 1166.584{{c}}, ~3/2 = 568.073{{c}}
-* CWE: ~2 = 1200.000{{c}}, ~3/2 = 558.941{{c}}
-{{Optimal ET sequence|legend=0| 2 }}
-Badness (Sintel): 0.774
-=== Light windmill ===
-Light windmill tempers out [[8/7]] and [[21/20]] in the 7-limit.
-Subgroup: 2.3.5.7
-Comma list: 6/5, 8/7
-Mapping: {{mapping| 1 0 1 3 | 0 1 1 0 }}
-Optimal tunings:
-* WE: ~2 = 1134.018{{c}}, ~3/2 = 670.285{{c}}
-* CWE: ~2 = 1200.000{{c}}, ~3/2 = 667.893{{c}}
-{{Optimal ET sequence|legend=0| 2 }}
-Badness (Sintel): 0.629
-==== 11-limit ====
-Subgroup: 2.3.5.7.11
-Comma list: 6/5, 8/7, 11/10
-Mapping: {{mapping| 1 0 1 3 2 | 0 1 1 0 1 }}
-Optimal tunings:
-* WE: ~2 = 1136.109{{c}}, ~3/2 = 672.403{{c}}
-* CWE: ~2 = 1200.000{{c}}, ~3/2 = 668.374{{c}}
-{{Optimal ET sequence|legend=0| 2 }}
-Badness (Sintel): 0.681
-== Sixseven ==
-Sixseven tempers out the [[7/6|septimal minor third (7/6)]], equating the [[6/1|sixth]] and [[7/1|seventh harmonic]]s. It was named by [[User:Xenllium|Xenllium]] in 2026.
-[[Subgroup]]: 2.3.7
-[[Comma list]]: 7/6
-{{Mapping|legend=1| 1 0 1 | 0 1 1 }}
-[[Optimal tuning]]s:
-* [[WE]]: ~2 = 1218.135{{c}}, ~3/2 = 734.187{{c}}
-: [[error map]]: {{val| +18.135 +50.367 -198.368 }}
-* [[CWE]]: ~2 = 1200.000{{c}}, ~3/2 = 738.927{{c}}
-: error map: {{val| 0.000 +36.972 -229.899 }}
-{{Optimal ET sequence|legend=1| 1, 2d, 3, 5dd }}
-[[Badness]] (Sintel): 0.329
-=== 2.3.7.13 subgroup ===
-This temperament is extended to the 2.3.7.13 subgroup naturally, tempering out both [[13/12]] and [[14/13]], tridecimal neutral seconds.
-Subgroup: 2.3.7.13
-Comma list: 7/6, 13/12
-Mapping: {{mapping| 1 0 1 2 | 0 1 1 1 }}
-Optimal tunings:
-* WE: ~2 = 1220.937{{c}}, ~3/2 = 734.003{{c}}
-* CWE: ~2 = 1200.000{{c}}, ~3/2 = 739.780{{c}}
-{{Optimal ET sequence|legend=0| 1, 2d, 3, 5ddf }}
-Badness (Sintel): 0.422
-=== Heaven ===
-Heaven tempers out [[11/9]] and [[22/21]] in the 2.3.7.11 subgroup.
-Subgroup: 2.3.7.11
-Comma list: 7/6, 11/9
-Mapping: {{mapping| 1 0 1 0 | 0 1 1 2 }}
-Optimal tunings:
-* WE: ~2 = 1210.810{{c}}, ~3/2 = 783.079{{c}}
-* CWE: ~2 = 1200.000{{c}}, ~3/2 = 785.173{{c}}
-{{Optimal ET sequence|legend=0| 1e, 2de, 3 }}
-Badness (Sintel): 0.577
-==== 2.3.7.11.13 subgroup ====
-Subgroup: 2.3.7.11.13
-Comma list: 7/6, 11/9, 13/12
-Mapping: {{mapping| 1 0 1 0 2 | 0 1 1 2 1 }}
-Optimal tunings:
-* WE: ~2 = 1210.595{{c}}, ~3/2 = 783.176{{c}}
-* CWE: ~2 = 1200.000{{c}}, ~3/2 = 784.989{{c}}
-{{Optimal ET sequence|legend=0| 1e, 2de, 3 }}
-Badness (Sintel): 0.627
+{{Optimal ET sequence|legend=1| 19, …, 1600, 1619, 4838, 6457c }}
-[[Category:Temperament collections]]
+[[Badness]] (Sintel): 14.7

Very low accuracy temperaments: Difference between revisions