Vavoom family: Difference between revisions

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@@ Line 8: / Line 8: @@
 Mapping: {{mapping| 1 0 4 | 0 17 -18 }}
-: mapping generators: ~2, ~16/15
+: Mapping generators: ~2, ~16/15
-Optimal tuning (POTE): ~2 = 1\1, ~16/15 = 111.8765
+Optimal tuning (POTE): ~2 = 1＼1, ~16/15 = 111.8765
 {{Optimal ET sequence|legend=1| 32, 43, 75, 118, 429, 547, 665, 783, 901, 1684 }}
-Badness: 0.0984
+Badness: 0.098376
+{{Todo|inline=1|review|comment=For all below temperaments: Normalize the comma lists. Work out the optimal ET sequences and badnesses. }}
+== Raccoon ==
+Subgroup: 2.3.5.7
+Comma list: 225/224, 41943040/40353607
-{{Todo|inline=1|review|comment=For all below temperaments: Normalize the comma lists. Work out the optimal ET sequences and badnesses. }}
+Mapping: {{mapping| 1 0 4 3 | 0 17 -18 -2 }}
+: Mapping generators: ~2, ~16/15
+Optimal tuning (POTE): ~2 = 1＼1, ~16/15 = 111.8960
+Optimal ET sequence: {{Optimal ET sequence| 32, 43, 75, 118d }}
+Badness: 0.272586
 == Doubloon ==
 Subgroup: 2.3.5.7
-Comma list: [[3136/3125]], [[33756345/33554432]], [[330812181/327680000]], [[2152828125/2147483648]]
+Comma list: 3136/3125, 33756345/33554432
 Mapping: {{mapping| 1 0 4 7 | 0 17 -18 -45 }}
-: mapping generators: ~2, ~16/15
+: Mapping generators: ~2, ~16/15
+Optimal tuning (POTE): ~2 = 1＼1, ~16/15 = 111.8391
-Optimal tuning (POTE): ~2 = 1\1, ~16/15 = 111.8391
+Optimal ET sequence: {{Optimal ET sequence| 43, 75d, 118, 279 }}
-Recommended ETs: {{EDOs|118, 161}}
+Badness: 0.173974
 === 11-limit ===
 Subgroup: 2.3.5.7.11
-Comma list: [[441/440]], [[3136/3125]], [[5632/5625]], [[35937/35840]], [[43923/43750]], [[43923/43904]]
+Comma list: 441/440, 3136/3125, 35937/35840
 Mapping: {{mapping| 1 0 4 7 7 | 0 17 -18 -45 -38 }}
@@ Line 42: / Line 57: @@
 : mapping generators: ~2, ~16/15
-Optimal tuning (POTE): ~2 = 1\1, ~16/15 = 111.8563
+Optimal tuning (POTE): ~2 = 1＼1, ~16/15 = 111.8563
-Recommended ETs: {{EDOs|43, 118}}
+Optimal ET sequence: {{Optimal ET sequence| 43, 75d, 118 }}
+Badness: 0.049755
 ==== 13-limit ====
 Subgroup: 2.3.5.7.11.13
-Comma list: [[441/440]], [[1001/1000]], [[1188/1183]], [[1575/1573]], [[1701/1690]], [[3136/3125]], [[3267/3250]], [[3584/3575]]
+Comma list: 441/440, 1001/1000, 1188/1183, 3136/3125
 Mapping: {{mapping| 1 0 4 7 7 1 | 0 17 -18 -45 -38 29 }}
@@ Line 55: / Line 72: @@
 : mapping generators: ~2, ~16/15
-Optimal tuning (POTE): ~2 = 1\1, ~16/15 = 111.8193
+Optimal tuning (POTE): ~2 = 1＼1, ~16/15 = 111.8193
+Optimal ET sequence: {{Optimal ET sequence| 118, 161 }}
-Recommended ETs: {{EDOs|118, 161}}
+Badness: 0.042899
 == Kaboom ==