No-fives subgroup temperaments: Difference between revisions
formalized temperament |
→Hectosaros leap week: monzo and val |
||
| Line 607: | Line 607: | ||
Defined as the 320 & 1803 temperament, in the 2.3.7.13.17.19 on the basis of the fact that 1803 tropical years make up almost exactly 100 saros cycles. | Defined as the 320 & 1803 temperament, in the 2.3.7.13.17.19 on the basis of the fact that 1803 tropical years make up almost exactly 100 saros cycles. | ||
Subgroup: 2.3.7 | [[Subgroup]]: 2.3.7 | ||
Comma list: | [[Comma list]]: {{monzo|-50 -746 439}} | ||
Mapping: 1 313 532, 0 -439 -746 | [[Mapping]]: [{{val|1 313 532}}, {{val|0 -439 -746}}] | ||
Optimal tuning (CTE): ~17 343 143 = 851.248 | [[Optimal tuning]] ([[CTE]]): ~{{monzo|17 343 143}} = 851.248 | ||
=== 2.3.7.13 subgroup === | === 2.3.7.13 subgroup === | ||
Subgroup: 2.3.7.13 | Subgroup: 2.3.7.13 | ||
Comma list: -42 -2 -5 16, 10 -46 29 -5 | Comma list: {{monzo|-42 -2 -5 16}}, {{monzo|10 -46 29 -5}} | ||
Mapping: 1 313 532 208, 0 -439 -746 -288 | Mapping: [{{1 313 532 208}}, {{val|0 -439 -746 -288}}] | ||
Optimal tuning (CTE): ~1235079060111/755603996672 = 851.248 | Optimal tuning (CTE): ~1235079060111/755603996672 = 851.248 | ||
| Line 627: | Line 627: | ||
Subgroup: 2.3.7.13.17 | Subgroup: 2.3.7.13.17 | ||
Comma list: 39337984/39328497, 0 -14 7 4 -3, -18 -24 14 -1 5. | Comma list: 39337984/39328497, {{monzo|0 -14 7 4 -3}}, {{monzo|-18 -24 14 -1 5}}. | ||
Mapping: 1 313 532 208 58, 0 -439 -746 -288 -76 | Mapping: [{{val|1 313 532 208 58}}, {{val|0 -439 -746 -288 -76}}] | ||
Optimal tuning (CTE): ~6144/3757 = 851.248 | Optimal tuning (CTE): ~6144/3757 = 851.248 | ||
| Line 638: | Line 638: | ||
Comma list: 10081799/10077696, 39337984/39328497, 10754912/10744731, and 480024727/480020256 | Comma list: 10081799/10077696, 39337984/39328497, 10754912/10744731, and 480024727/480020256 | ||
Mapping: 1 313 532 208 58 432, 0 -439 -746 -288 -76 -603 | Mapping: [{{val|1 313 532 208 58 432}}, {{val|0 -439 -746 -288 -76 -603}}] | ||
Optimal tuning (CTE): ~6144/3757 = 851.248 | Optimal tuning (CTE): ~6144/3757 = 851.248 | ||