Quindromeda family: Difference between revisions

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@@ Line 102: / Line 102: @@
 Mapping: [{{val| 1 2 0 -3 -5 -7 }}, {{val| 0 -5 28 70 102 129 }}]
-POTE generator: ~35/33 = 99.541
+Optimal tunings:
+* WE: ~2 = 1199.855¢, ~35/33 = 99.529¢
+* CWE: ~2 = 1200.000¢, ~35/33 = 99.540¢
 {{Optimal ET sequence|legend=0| 12f, 205df, 217 }}
-Badness: 0.052361
+Badness (Sintel): 2.164
 ===== 17-limit =====
@@ Line 115: / Line 117: @@
 Mapping: [{{val| 1 2 0 -3 -5 -7 5 }}, {{val| 0 -5 28 70 102 129 -11 }}]
-POTE generator: ~18/17 = 99.540
+Optimal tunings:
+* WE: ~2 = 1199.890¢, ~18/17 = 99.531¢
+* CWE: ~2 = 1200.000¢, ~18/17 = 99.539¢
 {{Optimal ET sequence|legend=0| 12f, 205df, 217 }}
-Badness: 0.035653
+Badness (Sintel): 1.816
 ===== 19-limit =====
@@ Line 128: / Line 132: @@
 Mapping: [{{val| 1 2 0 -3 -5 -7 5 4 }}, {{val| 0 -5 28 70 102 129 -11 3 }}]
-POTE generator: ~18/17 = 99.541
+Optimal tunings:
+* WE: ~2 = 1199.859¢, ~18/17 = 99.529¢
+* CWE: ~2 = 1200.000¢, ~18/17 = 99.540¢
 {{Optimal ET sequence|legend=0| 12f, 205df, 217 }}
-Badness: 0.025782
+Badness (Sintel): 1.569
 ==== Quintoneoid ====
@@ Line 141: / Line 147: @@
 Mapping: [{{val| 1 2 0 -3 -5 11 }}, {{val| 0 -5 28 70 102 -88 }}]
-POTE generator: ~35/33 = 99.537
+Optimal tunings:
+* WE: ~2 = 1199.901¢, ~35/33 = 99.529¢
+* CWE: ~2 = 1200.000¢, ~35/33 = 99.537¢
 {{Optimal ET sequence|legend=0| 12, 205d, 217 }}
-Badness: 0.072826
+Badness (Sintel): 3.009
 ===== 17-limit =====
@@ Line 154: / Line 162: @@
 Mapping: [{{val| 1 2 0 -3 -5 11 5 }}, {{val| 0 -5 28 70 102 -88 -11 }}]
-POTE generator: ~18/17 = 99.537
+Optimal tunings:
+* WE: ~2 = 1199.912¢, ~18/17 = 99.530¢
+* CWE: ~2 = 1200.000¢, ~18/17 = 99.537¢
 {{Optimal ET sequence|legend=0| 12, 205d, 217 }}
-Badness: 0.042339
+Badness (Sintel): 2.157
 ===== 19-limit =====
@@ Line 167: / Line 177: @@
 Mapping: [{{val| 1 2 0 -3 -5 11 5 4 }}, {{val| 0 -5 28 70 102 -88 -11 3 }}]
-POTE generator: ~18/17 = 99.537
+Optimal tunings:
+* WE: ~2 = 1199.889¢, ~18/17 = 99.528¢
+* CWE: ~2 = 1200.000¢, ~18/17 = 99.537¢
 {{Optimal ET sequence|legend=0| 12, 205d, 217 }}
-Badness: 0.028983
+Badness (Sintel): 1.763
 === Quinsandra ===
@@ Line 197: / Line 209: @@
 Mapping: [{{val| 1 2 0 -3 13 11 }}, {{val| 0 -5 28 70 -115 -88 }}]
-POTE generator: ~55/52 = 99.548
+Optimal tunings:
+* WE: ~2 = 1199.922¢, ~55/52 = 99.541¢
+* CWE: ~2 = 1200.000¢, ~55/52 = 99.548¢
 {{Optimal ET sequence|legend=0| 12e, 217, 446, 663c }}
-Badness: 0.067730
+Badness (Sintel): 2.799
 ==== 17-limit ====
@@ Line 210: / Line 224: @@
 Mapping: [{{val| 1 2 0 -3 13 11 5 }}, {{val| 0 -5 28 70 -115 -88 -11 }}]
-POTE generator: ~18/17 = 99.548
+Optimal tunings:
+* WE: ~2 = 1199.932¢, ~18/17 = 99.542¢
+* CWE: ~2 = 1200.000¢, ~18/17 = 99.548¢
 {{Optimal ET sequence|legend=0| 12e, 217, 446, 663c }}
-Badness: 0.038153
+Badness (Sintel): 1.944
 ==== 19-limit ====
@@ Line 223: / Line 239: @@
 Mapping: [{{val| 1 2 0 -3 13 11 5 4 }}, {{val| 0 -5 28 70 -115 -88 -11 3 }}]
-POTE generator: ~18/17 = 99.547
+Optimal tunings:
+* WE: ~2 = 1199.907¢, ~18/17 = 99.540¢
+* CWE: ~2 = 1200.000¢, ~18/17 = 99.547¢
 {{Optimal ET sequence|legend=0| 12e, 217, 446, 663ch }}
-Badness: 0.026654
+Badness (Sintel): 1.621
 === Quinsandric ===
@@ Line 251: / Line 269: @@
 Mapping: [{{val| 1 2 0 -3 -6 -8 }}, {{val| 0 -5 28 70 114 141 }}]
-POTE generator: ~55/52 = 99.578
+Optimal tunings:
+* WE: ~2 = 1199.730¢, ~55/52 = 99.555¢
+* CWE: ~2 = 1200.000¢, ~55/52 = 99.575¢
 {{Optimal ET sequence|legend=0| 12f, 217ef, 229, 241, 470cd, 711ccd }}
-Badness: 0.065701
+Badness (Sintel): 2.715
 ===== 17-limit =====
@@ Line 264: / Line 284: @@
 Mapping: [{{val| 1 2 0 -3 -6 -8 5 }}, {{val| 0 -5 28 70 114 141 -11 }}]
-POTE generator: ~18/17 = 99.574
+Optimal tunings:
+* WE: ~2 = 1199.827¢, ~18/17 = 99.560¢
+* CWE: ~2 = 1200.000¢, ~18/17 = 99.573¢
 {{Optimal ET sequence|legend=0| 12f, 217ef, 229, 241, 470cd }}
-Badness: 0.046624
+Badness (Sintel): 2.375
 ===== 19-limit =====
@@ Line 277: / Line 299: @@
 Mapping: [{{val| 1 2 0 -3 -6 -8 5 4 }}, {{val| 0 -5 28 70 114 141 -11 3 }}]
-POTE generator: ~18/17 = 99.575
+Optimal tunings:
+* WE: ~2 = 1199.804¢, ~18/17 = 99.559¢
+* CWE: ~2 = 1200.000¢, ~18/17 = 99.574¢
 {{Optimal ET sequence|legend=0| 12f, 217ef, 229, 241, 470cd }}
-Badness: 0.033145
+Badness (Sintel): 2.016
 ==== Quinsandro ====
@@ Line 290: / Line 314: @@
 Mapping: [{{val| 1 2 0 -3 -6 11 }}, {{val| 0 -5 28 70 114 -88 }}]
+Optimal tunings:
+* WE: ~2 = 1200.032¢, ~200/189 = 99.559¢
+* CWE: ~2 = 1200.000¢, ~200/189 = 99.556¢
 POTE generator: ~200/189 = 99.556
 {{Optimal ET sequence|legend=0| 12, 217e, 229, 446e, 675ceef }}
-Badness: 0.100195
+Badness (Sintel): 4.140
 ===== 17-limit =====
@@ Line 303: / Line 330: @@
 Mapping: [{{val| 1 2 0 -3 -6 11 5 }}, {{val| 0 -5 28 70 114 -88 -11 }}]
-POTE generator: ~18/17 = 99.556
+Optimal tunings:
+* WE: ~2 = 1200.030¢, ~18/17 = 99.559¢
+* CWE: ~2 = 1200.000¢, ~18/17 = 99.556¢
 {{Optimal ET sequence|legend=0| 12, 217e, 229, 446e, 675ceef }}
-Badness: 0.057851
+Badness (Sintel): 2.947
 ===== 19-limit =====
@@ Line 316: / Line 345: @@
 Mapping: [{{val| 1 2 0 -3 -6 11 5 4 }}, {{val| 0 -5 28 70 114 -88 -11 3 }}]
-POTE generator: ~18/17 = 99.557
+Optimal tunings:
+* WE: ~2 = 1199.989¢, ~18/17 = 99.556¢
+* CWE: ~2 = 1200.000¢, ~18/17 = 99.557¢
 {{Optimal ET sequence|legend=0| 12, 217e, 229, 446e, 675ceefh }}
-Badness: 0.040410
+Badness (Sintel): 2.458
 == Quintakwai ==
@@ Line 567: / Line 598: @@
 == Hemiquindromeda ==
-The ''hemiquindromeda'' temperament (193&amp;217) splits the fourth in ten, and tempers out the [[canousma]] (4802000/4782969) and the decovulture comma (67108864/66976875) in the 7-limit.
+The ''hemiquindromeda'' temperament (193&amp;217) splits the fourth in ten, and tempers out the [[canousma]] (4802000/4782969) and the [[decovulture comma]] (67108864/66976875) in the 7-limit.
 Subgroup: 2.3.5.7