Meantone family: Difference between revisions

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@@ Line 519: / Line 519: @@
 Badness (Sintel): 1.25
+==== Semimeanpop ====
+Subgroup: 2.3.5.7.11.13
+Comma list: 81/80, 126/125, 385/384, 847/845
+Mapping: {{mapping| 2 0 -8 -26 48 39 | 0 1 4 10 -13 -10 }}
+: mapping generators: ~55/39, ~3
+Optimal tunings:
+* WE: ~55/39 = 600.6704{{c}}, ~3/2 = 697.2151{{c}}
+* CWE: ~55/39 = 600.0000{{c}}, ~3/2 = 696.4341{{c}}
+{{Optimal ET sequence|legend=0| 12e, 50, 62, 112b }}
+Badness (Sintel): 1.78
+===== 17-limit =====
+Subgroup: 2.3.5.7.11.13.17
+Comma list: 81/80, 126/125, 221/220, 273/272, 289/288
+Mapping: {{mapping| 2 0 -8 -26 48 39 5 | 0 1 4 10 -13 -10 1 }}
+Optimal tunings:
+* WE: ~17/12 = 600.7232{{c}}, ~3/2 = 697.2820{{c}}
+* CWE: ~17/12 = 600.0000{{c}}, ~3/2 = 696.4411{{c}}
+{{Optimal ET sequence|legend=0| 12e, 50, 62, 112bg }}
+Badness (Sintel): 1.45
+===== 19-limit =====
+Subgroup: 2.3.5.7.11.13.17.19
+Comma list: 81/80, 126/125, 153/152, 209/208, 221/220, 273/272
+Mapping: {{mapping| 2 0 -8 -26 48 39 5 -1 | 0 1 4 10 -13 -10 1 3 }}
+Optimal tunings:
+* WE: ~17/12 = 600.7527{{c}}, ~3/2 = 697.3244{{c}}
+* CWE: ~17/12 = 600.0000{{c}}, ~3/2 = 696.4525{{c}}
+{{Optimal ET sequence|legend=0| 12e, 50, 62, 112bgh }}
+Badness (Sintel): 1.28
 === Meanenneadecal ===
@@ Line 1,038: / Line 1,085: @@
 Badness (Sintel): 0.832
+== Mildtone ==
+Mildtone tempers out 16128/15625 and finds the interval class of 7 at 22 generators up, as a triple-augmented fifth (C–G#x).
+[[Subgroup]]: 2.3.5.7
+[[Comma list]]: 81/80, 16128/15625
+{{Mapping|legend=1| 1 0 -4 -32 | 0 1 4 22 }}
+[[Optimal tuning]]s:
+* [[WE]]: ~2 = 1199.7304{{c}}, ~3/2 = 698.3953{{c}}
+: [[error map]]: {{val| -0.270 -3.829 +7.267 -1.434 }}
+* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 698.5397{{c}}
+: error map: {{val| 0.000 -3.415 +7.845 -0.952 }}
+{{Optimal ET sequence|legend=1| 12, 43d, 55, 67 }}
+[[Badness]] (Sintel): 2.67
 == Supermean ==