Breedsmic temperaments: Difference between revisions

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Badness: 0.018773
Badness: 0.018773
==== 19-limit ====
Subgroup: 2.3.5.7.11.13.17.19
Comma list: 595/594, 625/624, 833/832, 1156/1155, 1216/1215, 2200/2197
Mapping: [{{val|1 3 2 3 -4 1 1 11}}, {{val|0 -22 5 -3 116 42 48 -105}}]
POTE generator: ~68/65 = 77.169
Optimal GPV sequence: {{Val list| 140, 171, 311, 1384cfgg, 1695cfgg, 2006bcdfgg }}
Badness: 0.017653
==== 23-limit ====
Subgroup: 2.3.5.7.11.13.17.19.23
Comma list: 595/594, 625/624, 833/832, 875/874, 1105/1104, 1156/1155, 1216/1215
Mapping: [{{val|1 3 2 3 -4 1 1 11 -3}}, {{val|0 -22 5 -3 116 42 48 -105 117}}]
POTE generator: ~23/22 = 77.168
Optimal GPV sequence: {{Val list| 140, 311, 762g, 1073g, 1384cfgg }}
Badness: 0.015123
==== 29-limit ====
Subgroup: 2.3.5.7.11.13.17.19.23.29
Comma list: 595/594, 625/624, 784/783, 833/832, 875/874, 1015/1014, 1105/1104, 1156/1155
Mapping: [{{val|1 3 2 3 -4 1 1 11 -3 1}}, {{val|0 -22 5 -3 116 42 48 -105 117 60}}]
POTE generator: ~23/22 = 77.167
Optimal GPV sequence: {{Val list| 140, 311, 762g, 1073g, 1384cfggj }}
Badness: 0.012181
==== 31-limit ====
Subgroup: 2.3.5.7.11.13.17.19.23.29.31
Comma list: 595/594, 625/624, 714/713, 784/783, 833/832, 875/874, 900/899, 931/930, 1015/1014
Mapping: [{{val|1 3 2 3 -4 1 1 11 -3 1 11}}, {{val|0 -22 5 -3 116 42 48 -105 117 60 -94}}]
POTE generator: ~23/22 = 77.169
Optimal GPV sequence: {{Val list| 140, 171, 311 }}
Badness: 0.012311
==== 37-limit ====
Subgroup: 2.3.5.7.11.13.17.19.23.29.31.37
Comma list: 595/594, 625/624, 703/702, 714/713, 784/783, 833/832, 875/874, 900/899, 931/930, 1015/1014
Mapping: [{{val|1 3 2 3 -4 1 1 11 -3 1 11 0}}, {{val|0 -22 5 -3 116 42 48 -105 117 60 -94 81}}]
POTE generator: ~23/22 = 77.170
Optimal GPV sequence: {{Val list| 140, 171, 311 }}
Badness: 0.010949
==== 41-limit ====
Subgroup: 2.3.5.7.11.13.17.19.23.29.31.37.41
Comma list: 595/594, 625/624, 697/696, 703/702, 714/713, 784/783, 820/819, 833/832, 875/874, 900/899, 931/930
Mapping: [{{val|1 3 2 3 -4 1 1 11 -3 1 11 0 6}}, {{val|0 -22 5 -3 116 42 48 -105 117 60 -94 81 -10}}]
POTE generator: ~23/22 = 77.169
Optimal GPV sequence: {{Val list| 140, 171, 311 }}
Badness: 0.009825


=== Hemitert ===
=== Hemitert ===