Mint family: Difference between revisions

← Older edit

VisualWikitext

@@ Line 1: / Line 1: @@
 {{Technical data page}}
-The '''mint family''' of [[rank-3 temperament]]s tempers out [[36/35]], identifying both [[7/6]] with [[6/5]] and [[5/4]] with [[9/7]].
+The '''mint family''' of [[rank-3 temperament|rank-3]] [[regular temperament|temperaments]] [[tempering out|tempers out]] [[36/35]], identifying both [[7/6]] with [[6/5]] and [[5/4]] with [[9/7]].
-== Mint  ==
+== Mint ==
 [[Subgroup]]: 2.3.5.7
@@ Line 8: / Line 8: @@
 {{Mapping|legend=1| 1 0 0 2 | 0 1 0 2 | 0 0 1 -1 }}
+: mapping generators: ~2, ~3, ~5
-[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~3/2 = 698.6351, ~5/4 = 404.2809
+[[Optimal tuning]]s:
+* [[WE]]: ~2 = 1196.3575{{c}}, ~3/2 = 696.5144{{c}}, ~5/4 = 403.0537{{c}}
+: [[error map]]: {{val| -3.643 -9.083 +9.455 +13.864 }}
+* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 695.2474{{c}}, ~5/4 = 401.1263{{c}}
+: error map: {{val| 0.000 -6.708 +14.813 +20.543 }}
-{{Optimal ET sequence|legend=1| 4, 5, 7, 8d, 9, 12 }}
+{{Optimal ET sequence|legend=1| 4, 5, 7, 8d, 9, 12, 41cd, 53cdd }}
-[[Badness]]: 0.0637 × 10<sup>-3</sup>
+[[Badness]] (Sintel): 0.281
-== Nickel  ==
+== Nickel ==
 [[Subgroup]]: 2.3.5.7.11
-[[Comma list]]: 36/35, [[45/44]]
+[[Comma list]]: 36/35, 45/44
 {{Mapping|legend=1| 1 0 0 2 -2 | 0 1 0 2 2 | 0 0 1 -1 1 }}
-[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~3/2 = 688.8370, ~5/4 = 391.8801
+[[Optimal tuning]]s:
+* [[WE]]: ~2 = 1198.7814{{c}}, ~3/2 = 688.1375{{c}}, ~5/4 = 391.4822{{c}}
+: [[error map]]: {{val| -1.219 -15.036 +2.731 +13.530 +14.002 }}
+* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 687.9993{{c}}, ~5/4 = 391.2274{{c}}
+: error map: {{val| 0.000 -13.956 +4.914 +15.945 +15.908 }}
 {{Optimal ET sequence|legend=1| 7, 9, 12, 21, 28 }}
-[[Badness]]: 0.463 × 10<sup>-3</sup>
+[[Badness]] (Sintel): 0.557
-=== 13-limit  ===
+=== 13-limit ===
 Subgroup: 2.3.5.7.11.13
-Comma list: [[27/26]], 36/35, 45/44
+Comma list: 27/26, 36/35, 45/44
 Mapping: {{mapping| 1 0 0 2 -2 -1 | 0 1 0 2 2 3 | 0 0 1 -1 1 0 }}
-Optimal tuning (POTE): ~2 = 1\1, ~3/2 = 685.0048, ~5/4 = 390.2563
+Optimal tunings:
+* WE: ~2 = 1199.6174{{c}}, ~3/2 = 684.7864{{c}}, ~5/4 = 390.1319{{c}}
+* CWE: ~2 = 1200.0000{{c}}, ~3/2 = 684.7716{{c}}, ~5/4 = 390.0622{{c}}
-{{Optimal ET sequence|legend=1| 7, 9, 12f, 16, 21, 28 }}
+{{Optimal ET sequence|legend=0| 7, 9, 12f, 16, 21, 28, 37b }}
-Badness: 0.647 × 10<sup>-3</sup>
+Badness (Sintel): 0.605
+[[Category:Mint family| ]] <!-- main article -->
 [[Category:Temperament families]]
-[[Category:Mint family| ]] <!-- main article -->
+[[Category:Catalogs of rank-3 temperaments]]
-[[Category:Mint| ]] <!-- key article -->
-[[Category:Rank 3]]