Subgroup temperaments: Difference between revisions

@@ Line 1,643: / Line 1,643: @@
 Scales: [[Oceanfront scales]]
+=== Seventeen-cot ===
+Seventeen-cot is a rank-2 temperament in the 2.3.13/5 and 2.3.11/5.13/5 subgroups.It tempers out the [[Tendoartisma]] in the 2.3.13/5 subgroup. It can be generated with a ~2/1 octave and a ~2250/2197 or ~169/165 generator which is a 17th of a ~3/2 perfect fifth. It can be described as the 29 & 146 temperament in these subgroups.
+====2.3.13/5 subgroup====
+Comma basis: {{monzo| -6 -11 17 }}
+edo join: 29 & 146
+{{Mapping|legend=2| 1 1 1 | 0 17 11 }}
+: mapping generators: ~2, ~2250/2197
+Optimal tunings:
+* WE: ~2 = 1200.000{{c}}, ~2250/2197 = 41.291{{c}}
+: error map: {{val| 0.000 0.001 -0.007}}
+* CWE: ~2 = 1200.000{{c}}, ~2250/2197 = 41.292{{c}}
+: error map: {{val| 0.000 0.001 -0.007}}
+edos: 29, 465, 494, 436, 523, 407, 378, 349, 30[-3], 28[+3], 320, 291, 59[-3], 262
+Badness (Sintel): 0.064
+====2.3.11/5.13/5 subgroup====
+Comma basis: 225000/224939, 43940/43923
+edo join: 29 & 146
+{{Mapping|legend=2| 1 1 1 1 | 0 17 4 11 }}
+: mapping generators: ~2, ~2250/2197
+Optimal tunings:
+* WE: ~2 = 1199.993{{c}}, ~169/165 = 41.292{{c}}
+: error map: {{val| -0.007 -0.000 0.157 -0.010}}
+* CWE: ~2 = 1200.000{{c}}, ~169/165 = 41.292{{c}}
+: error map: {{val|	 0.000 0.005 0.163 -0.005}}
+edos: 29, 465, 494, 436, 523, 407, 378, 349, 320, 291, 30[-3], 262, 28[+3], 233
+Badness (Sintel): 0.080
 == 2.….49/5.… subgroups ==