No-threes subgroup temperaments: Difference between revisions

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== Ostara ==
== Ostara ==


'''Ostara''' is a 2.7.13.17.19 subgroup temperament that is derived from 93 & 524 solar calendar leap rule scale.  
'''Ostara''' is a temperament that is derived from 93 & 524 solar calendar leap rule scale. It was initially defined by taking the 2.7.13.17.19 subgroup, but it can also be intepreted in general no-threes 19-limit.  


Ostara can also refer to a collection of temperaments which temper out 16807/16796.
Ostara can also refer to a collection of temperaments which temper out 16807/16796.


=== 2.5.7.11 ===
Subgroup: 2.5.7.11
Mapping: [{{Val|1 1 20 -49}}, {{Val|0 3 -39 119}}]
Comma list: 8589934592/8544921875, 53710650917/53687091200
POTE Generator: ~5120/3773 = 529.003¢
Vals: 93, 431, 338, 524
=== 2.5.7.11.13 ===
Subgroup: 2.5.7.11.13
Mapping: [{{Val|1 1 20 -49 35}}, {{Val|0 3 -39 119 -71}}]
Comma list: 1001/1000, 34420736/34328125, 5670699008/5661858125
POTE Generator: ~1664/1225 = 529.003¢
=== 2.5.7.11.13.17 ===
Subgroup: 2.5.7.11.13.17
Mapping: [{{Val|1 1 20 -49 35 42}}, {{Val|0 3 -39 119 -71 -86}}]
Comma list: 1001/1000, 32768/32725, 147968/147875, 537824/537251
POTE Generator: ~1664/1225 = 529.003¢
=== 2.5.7.11.13.17.19 ===
Subgroup: 2.5.7.11.13.17.19
Mapping: [{{Val|1 1 20 -49 35 42}}, {{Val|0 3 -39 119 -71 -86}}]
Comma list: 1001/1000, 2128/2125, 3328/3325, 16807/16796, 147968/147875
POTE Generator: ~1664/1225 = 529.003¢
=== 2.7.13.17.19 ===
Subgroup: 2.7.13.17.19
Subgroup: 2.7.13.17.19


Comma list: 16807/16796, 157339/157216, 47071232/47045881
Comma list: 16807/16796, 157339/157216, 47071232/47045881


POTE Generator: 529.0092¢ ~ 19/14
POTE Generator: 529.009¢ ~19/14


Vals: {{EDOs|93, 338, 431, 524, 617, 710}}
Vals: {{EDOs|93, 338, 431, 524, 617, 710}}