37th-octave temperaments: Difference between revisions

@@ Line 10: / Line 10: @@
 [[Mapping]]: [{{val| 37 0 86 104 }}, {{val| 0 1 0 0 }}]
+: mapping generators: ~50/49, ~3
-Mapping generators: ~50/49, ~3
+Optimal tunings:
+* [[WE]]: ~50/49 = 32.408, ~3/2 = 702.859
-[[Optimal tuning]] ([[POTE]]): ~3/2 = 703.3903
+: [[error map]]: {{val| -0.906 -0.002 0.770 1.601 }}
+* [[CWE]]: ~50/49 = 1\37, ~3/2 = 703.031
+: [[error map]]: {{val| 0.000 1.076 2.875 4.147 }}
 {{Optimal ET sequence|legend=1| 37, 74, 111 }}
-[[Badness]]: 0.312105
+[[Badness]]: 7.898
 === 11-limit ===
@@ Line 25: / Line 28: @@
 Mapping: [{{val| 37 0 86 104 128 }}, {{val| 0 1 0 0 0 }}]
+: mapping generator: ~56/55, ~3/2
-Optimal tuning (POTE): ~3/2 = 703.0355
+Optimal tunings:
+* [[WE]]: ~56/55 = 32.408, ~3/2 = 702.635
+: [[error map]]: {{val| -0.683 -0.002 1.288 2.228 -2.329 }}
+* [[CWE]]: ~56/55 = 1\37, ~3/2 = 702.819
+: [[error map]]: {{val| -0.000 0.864 2.875 4.147 0.033 }}
 {{Optimal ET sequence|legend=1| 37, 74, 111 }}
-Badness: 0.101001
+Badness: 3.339
 === 13-limit ===
@@ Line 39: / Line 47: @@
 Mapping: [{{val| 37 0 86 104 128 137 }}, {{val| 0 1 0 0 0 0 }}]
-Optimal tuning (POTE): ~3/2 = 703.0520
+Optimal tunings:
+* [[WE]]: ~65/64 = 32.414, ~3/2 = 702.646
+: [[error map]]: {{val| -0.693 -0.002 1.264 2.198 -2.365 0.149 }}
+* [[CWE]]: ~65/64 = 1\37, ~3/2 = 702.869
+: [[error map]]: {{val| 0.000 0.914 2.875 4.147 0.033 2.716 }}
 {{Optimal ET sequence|legend=1| 37, 74, 111 }}
-Badness: 0.048732
+Badness: 2.014
 == Triacontaheptoid ==