No-fives subgroup temperaments: Difference between revisions

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formalized temperament
Eliora (talk | contribs)
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: [-50 -746 439]
[[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