No-fives subgroup temperaments: Difference between revisions

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@@ Line 1,233: / Line 1,233: @@
 [[Comma list]]: 2187/2116
-{{Mapping|legend=2| 1 0 -1 | 0 2 7}}
+{{Mapping|legend=2| 1 0 -1 | 0 2 7 }}
+: mapping generators: ~2, ~46/27
 [[Optimal tuning]]s:
@@ Line 1,250: / Line 1,251: @@
 [[Comma list]]: 24576/24389
-{{Mapping|legend=2| 1 2 5 | 0 3 -1 }}
+{{Mapping|legend=2| 1 2 5 | 0 -3 -1 }}
+: mapping generators: ~2, ~32/29
-[[Optimal tuning]]s ([[CTE]]): ~32/29 = 166.067{{c}}
+[[Optimal tuning]]s:
+* [[WE]]: ~2 = 1199.5519{{c}}, ~32/29 = 165.7453{{c}}
+: [[error map]]: {{val| -0.448 -0.087 +2.437 }}
+* [[CWE]]: ~2 = 1200.0000{{c}}, ~32/29 = 165.9004{{c}}
+: error map: {{val| 0.000 +0.344 +4.522 }}
 {{Optimal ET sequence|legend=1| 7, 22, 29, 94, 123, 152j, 275jj, 427jjj }}
+[[Badness]] (Sintel): 0.317
 === Sematology ===
@@ Line 1,263: / Line 1,271: @@
 [[Comma list]]: 4107/4096
-{{Mapping|legend=2| 1 1 5 | 0 -2 1 }}
+{{Mapping|legend=2| 1 0 6 | 0 2 -1 }}
+: mapping generators: ~2, ~64/37
+[[Optimal tuning]]s:
+* [[WE]]: ~2 = 1200.2184{{c}}, ~64/37 = 950.9546{{c}}
+: [[error map]]: {{val| +0.218 -0.046 -0.988 }}
+* [[CWE]]: ~2 = 1200.0000{{c}}, ~64/37 = 950.8250{{c}}
+: error map: {{val| 0.000 -0.305 -2.169 }}
-[[Optimal tuning]]s ([[POTE]]): ~37/32 = 249.075{{c}}
+{{Optimal ET sequence|legend=1| 5, 14, 19, 24, 53, 77, 130, 443l, 573ll, 703ll, 1536blllll }}
-{{Optimal ET sequence|legend=1| 5, 14, 19, 24, 53, 77, 130 }}
+[[Badness]] (Sintel): 0.0690
 === Reversed mavila ===
@@ Line 1,274: / Line 1,289: @@
 [[Comma list]]: 81/74
-{{Mapping|legend=2| 1 1 0 | 0 -1 12 }}
+{{Mapping|legend=2| 1 0 -1 | 0 1 4 }}
+: mapping generators: ~2, ~3
+[[Optimal tuning]]s:
+* [[WE]]: ~2 = 1201.9908{{c}}, ~3/2 = 676.4865{{c}}
+: [[error map]]: {{val| +1.991 -23.478 +60.575 }}
+* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 676.7603{{c}}
+: error map: {{val| 0.000 -25.195 +55.697 }}
-[[Optimal tuning]]s ([[POTE]]): ~4/3 = 521.397{{c}}
+{{Optimal ET sequence|legend=1| 2, 5l, 7l, 9, 16l }}
-{{Optimal ET sequence|legend=1| 5l, 7l, 9, 16l }}
+[[Badness]] (Sintel): 0.623
 === Reversed meantone ===
@@ Line 1,287: / Line 1,309: @@
 [[Comma list]]: 82/81
-{{Mapping|legend=2| 1 2 7 | 0 -1 -4 }}
+{{Mapping|legend=2| 1 0 -1 | 0 1 4 }}
+: mapping generators: ~2, ~3
+[[Optimal tuning]]s:
+* [[WE]]: ~2 = 1199.6907{{c}}, ~3/2 = 705.3096{{c}}
+: [[error map]]: {{val| -0.309 +3.045 -8.752 }}
+* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 705.2699{{c}}
+: error map: {{val| 0.000 +3.315 -7.983 }}
-[[Optimal tuning]]s ([[POTE]]): ~4/3 = 494.509{{c}}
+{{Optimal ET sequence|legend=1| 5, 12, 17, 97m, 114m, 131m }}
-{{Optimal ET sequence|legend=1| 5, 12, 17 }}
+[[Badness]] (Sintel): 0.0841
 [[Category:Temperament collections]]
 [[Category:Subgroup temperaments]]
 [[Category:Rank 2]]