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| '''The Flashmob''' is a collection of temperaments of different ranks that all temper out 12376/12375, the [[flashma]], a 17-limit comma associated with precise systems that model high-limit JI. | | '''The Flashmob''' is a collection of temperaments of different ranks that all temper out 12376/12375, the [[flashma]], a 17-limit comma associated with precise systems that model high-limit JI. |
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| Temperaments discussed elsewhere include: | | == Rank-2 == |
| | Temperaments discussed elsewhere include [[Tricot family #Noletaland|noletaland]], [[60th-octave temperaments #Minutes|minutes]], [[72nd-octave temperaments #Hafnium|hafnium]], and [[80th-octave temperaments #Mercury|mercury]]. |
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| * ''Minutes'' → [[60th-octave temperaments#Minutes]]
| | === Iridium === |
| * ''Hafnium'' → [[72nd-octave temperaments#Hafnium]]
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| * ''Mercury'' → [[80th-octave temperaments#Mercury]]
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| == 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.
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| Subgroup: 2.3.5.7.11.13.17
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| Comma list: 2058/2057, 12376/12375, 14875/14872, 43904/43875, 250047/250000
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| Mapping: [{{val|3 6 19 30 35 36 29}}, {{val|0 -9 -87 -156 -178 -180 -121}}]
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| Mapping generators: ~63/50 = 1\3, ~4725/4576 = 55.330
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| Optimal tuning (CTE): ~351/340 = 55.329
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| === 19-limit ===
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| Subgroup: 2.3.5.7.11.13.17.19
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| Comma list: 2926/2925, 3136/3135, 5985/5984, 12376/12375, 14875/14872, 256000/255879
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| Mapping: [{{val|3 6 19 30 35 36 29 18}}, {{val|0 -9 -87 -156 -178 -180 -121 -38}}]
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| Mapping generators: ~63/50 = 1\3, ~4725/4576 = 55.330
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| Optimal tuning (CTE): ~351/340 = 55.329
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| === 23-limit ===
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| Subgroup: 2.3.5.7.11.13.17.19.23
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| Comma list: 2926/2925, 3136/3135, 5985/5984, 10626/10625, 12376/12375, 21736/21735, 256000/255879
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| Mapping: [{{val|3 6 19 30 35 36 29 18 31}}, {{val|0 -9 -87 -156 -178 -180 -121 -38 -126}}]
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| Mapping generators: ~63/50 = 1\3, ~4725/4576 = 55.330
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| Optimal tuning (CTE): ~4725/4576 = 55.330
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| === 29-limit ===
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| Subgroup: 2.3.5.7.11.13.17.19.23.29
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| Comma list: 2926/2925, 3136/3135, 5104/5103, 5985/5984, 12376/12375, 21736/21735, 10626/10625, 256000/255879
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| Mapping: [{{val|3 6 19 30 35 36 29 18 31 19}}, {{val|0 -9 -87 -156 -178 -180 -121 -38 -126 -32}}]
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| Mapping generators: ~63/50 = 1\3, ~4725/4576 = 55.330
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| Optimal tuning (CTE): ~4725/4576 = 55.330
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| {{Optimal ET sequence|legend=1|282, 759def, 1041, 1323, 2082de}}
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| == Iridium ==
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| Iridium is named after 77th element, being period-77. | | Iridium is named after 77th element, being period-77. |
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| Comma list: 12376/12375, 63792/67375, 194481/194480, 396833125/396829664, 112435984089/112394240000 | | Comma list: 12376/12375, 63792/67375, 194481/194480, 396833125/396829664, 112435984089/112394240000 |
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| Mapping: [{{Val|77 1 203 313 339 527 460}}, {{Val|0 5 -1 -4 -3 -10 -6}}] | | Mapping: {{mapping| 77 1 203 313 339 527 460 | 0 5 -1 -4 -3 -10 -6 }} |
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| | : mapping generators: ~429/425 = 1\77, 975/784 = 377.269 |
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| Mapping generators: ~429/425 = 1\77, 975/784 = 377.269
| | {{Optimal ET sequence|legend=1| 385, 1848, 7777 }} |
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| {{Optimal ET sequence|legend=1|385, 1848, 7777}}
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| [[Category:Commatic realms]] | | [[Category:Commatic realms]] |
| [[Category:Flashmic]] | | [[Category:Flashmic]] |