Breedsmic temperaments: Difference between revisions
No edit summary |
|||
| Line 264: | Line 264: | ||
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 === | ||