No-twos subgroup temperaments: Difference between revisions

← Older edit

VisualWikitext

@@ Line 611: / Line 611: @@
 [[Badness]] (Sintel): 1.01
+== Delta centauri ==
+{{Main| Delta centauri }}
+Delta centauri is a [[microtemperament]] that is generated by [[~]][[5/3]], and 9 generators stacked represent [[11/9]]. It tempers out the [[4-cent comma]] (1953125/1948617). The slightly less accurate extension to the 3.5.11.17 subgroup equates twelve generators with [[17/9]].
+[[Subgroup]]: 3.5.11
+[[Comma list]]: 1953125/1948617
+{{Mapping|legend=3| 1 0 -11 | 0 1 9 }}
+: mapping generators: ~3, ~5
+[[Optimal tuning]]s:
+* [[WE]]: ~3 = 1902.1019{{c}}, ~5/3 = 883.9539{{c}}
+: [[error map]]: {{val| +0.147 -0.258 +0.064 }}
+* [[CWE]]: ~3 = 1901.9550{{c}}, ~5/3 = 883.9008{{c}}
+: error map: {{val| 0.000 -0.458 -0.121 }}
+[[Optimal ET sequence]]: [[13edt|b13]], [[15edt|b15]], [[28edt|b28]], [[43edt|b43]], [[71edt|b71]], [[170edt|b170]], [[241edt|b241]], [[411edt|b411]], [[652edt|b652]], [[893edt|b893]], [[1545edt|b1545]], [[3742edt|b3742ce]]
+[[Badness]] (Sintel): 0.114
+=== 3.5.11.17 subgroup ===
+[[Subgroup]]: 3.5.11.17
+[[Comma list]]: 1377/1375, 265625/264627
+{{Mapping|legend=3| 1 0 -11 -15 | 0 1 9 12 }}
+[[Optimal tuning]]s:
+* [[WE]]: ~3 = 1901.9930{{c}}, ~5/3 = 884.1054{{c}}
+: [[error map]]: {{val| +0.038 -0.215 +1.645 -1.669 }}
+* [[CWE]]: ~3 = 1901.9550{{c}}, ~5/3 = 884.0911{{c}}
+: error map: {{val| 0.000 -0.268 +1.592 -1.727 }}
+[[Optimal ET sequence]]: [[13edt|b13g]], [[15edt|b15]], [[28edt|b28]], [[43edt|b43]], [[71edt|b71]], [[185edt|b185]], [[256edt|b256]], [[327edt|b327]]
+[[Badness]] (Sintel): 0.146
 == Deneb ==
 {{Main| Deneb }}
+Deneb tempers out the comma [[6655/6561]] and equates three [[11/9]]'s with [[9/5]].
 [[Subgroup]]: 3.5.11
@@ Line 718: / Line 758: @@
 [[Badness]] (Sintel): 3.84
-== Delta centauri ==
-{{Main| Delta centauri }}
-Delta centauri is a [[microtemperament]] that is generated by ~[[5/3]], and 9 generators stacked represents [[11/9]]. It tempers out the [[4-cent comma]] (1953125/1948617). The slightly less accurate extension to the 3.5.11.17 subgroup equates 12 generators to [[17/9]].
-[[Subgroup]]: 3.5.11
-[[Comma list]]: [[1953125/1948617]]
-{{Mapping|legend=3| 1 1 -2 | 0 1 9 }}
-: mapping generators: ~3, ~5/3
-[[Optimal tuning]]s:
-* [[WE]]: ~3 = 1902.102{{c}}, ~5/3 = 883.954{{c}}
-: [[error map]]: {{val| +0.147 -0.258 +0.064 }}
-* [[CWE]]: ~3 = 1901.9550{{c}}, ~5/3 = 883.901{{c}}
-: error map: {{val| 0.000 -0.458 -0.121}}
-[[Optimal ET sequence]]: TBA
-[[Badness]] (Sintel): 0.114
-=== 3.5.11.17 subgroup ===
-[[Subgroup]]: 3.5.11.17
-[[Comma list]]: [[1377/1375]], [[265625/264627]]
-{{Mapping|legend=3| 1 1 -2 -3 | 0 1 9 12 }}
-: mapping generators: ~3, ~5/3
-[[Optimal tuning]]s:
-* [[WE]]: ~3 = 1901.933{{c}}, ~5/3 = 884.105{{c}}
-: [[error map]]: {{val| +0.038 -0.215 +1.645 -1.669 }}
-* [[CWE]]: ~3 = 1901.955{{c}}, ~5/3 = 884.091{{c}}
-: error map: {{val| 0.000 -0.268 +1.592 -1.727}}
-[[Optimal ET sequence]]: TBA
-[[Badness]] (Sintel): 0.114
 = 3.7.11-subgroup temperaments =