The Flashmob: Difference between revisions

Revision as of 07:48, 16 September 2023

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.

Rank-2

Temperaments discussed elsewhere include noletaland, minutes, hafnium, and mercury.

Iridium

Iridium is named after 77th element, being period-77.

Subgroup: 2.3.5.7.11.13.17

Comma list: 12376/12375, 63792/67375, 194481/194480, 396833125/396829664, 112435984089/112394240000

Mapping: [⟨77 1 203 313 339 527 460], ⟨0 5 -1 -4 -3 -10 -6]]

mapping generators: ~429/425 = 1\77, 975/784 = 377.269

Optimal ET sequence: 385, 1848, 7777

@@ Line 1: / Line 1: @@
 '''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.
-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]].
-* ''Minutes'' → [[60th-octave temperaments#Minutes]]
+=== Iridium ===
-* ''Hafnium'' → [[72nd-octave temperaments#Hafnium]]
-* ''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
-{{Optimal ET sequence|legend=1|282, 759def, 1041, 1323, 2082de}}
-== Iridium ==
 Iridium is named after 77th element, being period-77.
@@ Line 65: / Line 11: @@
 Comma list: 12376/12375, 63792/67375, 194481/194480, 396833125/396829664, 112435984089/112394240000
-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 }}
+: mapping generators: ~429/425 = 1\77, 975/784 = 377.269
-Mapping generators: ~429/425 = 1\77, 975/784 = 377.269
+{{Optimal ET sequence|legend=1| 385, 1848, 7777 }}
-{{Optimal ET sequence|legend=1|385, 1848, 7777}}
 [[Category:Commatic realms]]
 [[Category:Flashmic]]

The Flashmob: Difference between revisions

Revision as of 07:48, 16 September 2023

Rank-2

Iridium

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