The Flashmob: Difference between revisions
iridium |
documented noletaland (which belongs more here than in landscape microtemps due to its importance for high-limit JI) |
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* ''Minutes'' → [[60th-octave temperaments#Minutes]] | * ''Minutes'' → [[60th-octave temperaments#Minutes]] | ||
* ''Mercury'' → [[80th-octave temperaments#Mercury]] | * ''Mercury'' → [[80th-octave temperaments#Mercury]] | ||
== Noletaland == | |||
Noletaland is described as 282 & 1323, and it combines the smallest consistent edo in the 29-odd-limit with the smallest uniquely consistent. It reaches 4/3 in nine generators ([[noleta]]-...) and tempers out the landscape comma (...-land). Noletaland reaches [[13/11]] in 2 generators, and [[29/19]] in 5. Then there's [[44/25]] in 4, and [[152/115]] in also 4. | |||
Subgroup: 2.3.5.7.11.13.17 | |||
Comma list: 2058/2057, 12376/12375, 14875/14872, 43904/43875, 250047/250000 | |||
Mapping: [{{val|3 6 19 30 35 36 29}}, {{val|0 -9 -87 -156 -178 -180 -121}}] | |||
Mapping generators: ~63/50 = 1\3, ~4725/4576 = 55.330 | |||
Optimal tuning (CTE): ~351/340 = 55.329 | |||
=== 19-limit === | |||
Subgroup: 2.3.5.7.11.13.17.19 | |||
Comma list: 2926/2925, 3136/3135, 5985/5984, 12376/12375, 14875/14872, 256000/255879 | |||
Mapping: [{{val|3 6 19 30 35 36 29 18}}, {{val|0 -9 -87 -156 -178 -180 -121 -38}}] | |||
Mapping generators: ~63/50 = 1\3, ~4725/4576 = 55.330 | |||
Optimal tuning (CTE): ~351/340 = 55.329 | |||
=== 23-limit === | |||
Subgroup: 2.3.5.7.11.13.17.19.23 | |||
Comma list: 2926/2925, 3136/3135, 5985/5984, 10626/10625, 12376/12375, 21736/21735, 256000/255879 | |||
Mapping: [{{val|3 6 19 30 35 36 29 18 31}}, {{val|0 -9 -87 -156 -178 -180 -121 -38 -126}}] | |||
Mapping generators: ~63/50 = 1\3, ~4725/4576 = 55.330 | |||
Optimal tuning (CTE): ~4725/4576 = 55.330 | |||
=== 29-limit === | |||
Subgroup: 2.3.5.7.11.13.17.19.23.29 | |||
Comma list: 2926/2925, 3136/3135, 5104/5103, 5985/5984, 12376/12375, 21736/21735, 10626/10625, 256000/255879 | |||
Mapping: [{{val|3 6 19 30 35 36 29 18 31 19}}, {{val|0 -9 -87 -156 -178 -180 -121 -38 -126 -32}}] | |||
Mapping generators: ~63/50 = 1\3, ~4725/4576 = 55.330 | |||
Optimal tuning (CTE): ~4725/4576 = 55.330 | |||
Vals: {{EDOs|282, 759def, 1041, 1323, 2082de}} | |||
== Hafnium == | == Hafnium == |