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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:
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| | * ''[[Calcium]]'' (+ 9801/9800, 37180/37179, 123201/123200, 903168/903125) → [[20th-octave temperaments#Calcium|20th-octave temperaments]] |
| | * ''[[Bromine]]'' (+ 123201/123200, 194481/194480, 1713660/1713481, 24635975/24634368) → [[35th-octave temperaments#Bromine|35th-octave temperaments]] |
| | * ''17-limit [[minutes]]'' (+ 9801/9800, 28561/28560, 250047/250000, 253755392/253746675) → [[60th-octave temperaments#Minutes|60th-octave temperaments]] |
| | * ''17-limit [[mercury]]'' (+ 9801/9800, 67392/67375, 4230144/4229225, 494534656/494515125) → [[80th-octave temperaments#Mercury|80th-octave temperaments]] |
| | * ''17-limit [[hafnium]]'' (+ 9801/9800, 21879/21875, 194481/194480, 1713660/1713481, 97144749/97140736) → [[72nd-octave temperaments#Hafnium|72nd-octave temperaments]] |
| | * ''[[Iridium]]'' (+ 63792/67375, 194481/194480, 396833125/396829664, 112435984089/112394240000) → [[77th-octave temperaments#Iridium|77th-octave temperaments]] |
| | * ''17-limit [[berkelium-247]]'' (+ 37180/37179, 1990656/1990625, 1146880/1146717, 263299491/263296000) → [[97th-octave temperaments#Berkelium-247|97th-octave temperaments]] |
| | * ''Septendecimal [[jacobin]]'' (+ 6656/6655) → [[The Jacobins#Septendecimal jacobin|The Jacobins]] |
| | * ''17-limit [[iodine]]'' (+ 1701/1700, 6656/6655, 8624/8619, 14875/14872) → [[Mercator family#Iodine|Mercator family]] |
| | * ''17-limit [[noletaland]]'' (+ 2058/2057, 4914/4913, 8624/8619, 250047/250000) → [[Tricot family#Noletaland|Tricot family]] |
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| * ''Minutes'' → [[60th-octave temperaments#Minutes]]
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| * ''Mercury'' → [[80th-octave temperaments#Mercury]]
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| == Hafnium ==
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| Hafnium is a period-72 temperament created by temperament-merging 4320edo and 5544edo, equal temperaments notable for their high divisibility. Named after the 72nd element.
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| Subgroup: 2.3.5.7.11.13
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| Comma list: 9801/9800, 250047/250000, 184549376/184528125, 463373664/463203125
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| Mapping: [{{val|72 72 462 876 1302 1193}}, {{val|0 1 -7 -16 -25 -22}}]
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| Mapping generators: ~105/104 = 1\72, ~3/2 = 701.948
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| Optimal tuning (CTE): ~3/2 = 701.948
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| Vals: {{Val list|1224, 1872def, 4320, 5544}}
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| ===17-limit===
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| Subgroup: 2.3.5.7.11.13.17
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| Comma list: 9801/9800, 12376/12375, 21879/21875, 194481/194480, 1713660/1713481, 97144749/97140736
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| Mapping: [{{val|72 72 462 876 1302 1193 547}}, {{val|0 1 -7 -16 -25 -22 -6}}]
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| Mapping generators: ~105/104 = 1\72, ~3/2 = 701.948
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| Optimal tuning (CTE): ~3/2 = 701.948
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| Vals: {{Val list|1224, 1872def, 4320, 5544}}
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| ===2.3.5.7.11.13.17.31 subgroup===
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| Since 4320edo and 5544edo have good 31st and 37th harmonics, addition of these subgroups is prescribed.
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| Subgroup: 2.3.5.7.11.13.17.31
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| Comma list: 9801/9800, 10881/10880, 12376/12375, 57629/57624, 179712/179707, 61456384/61448625
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| Sval mapping: [{{val|72 72 462 876 1302 1193 547 356}}, {{val|0 1 -7 -16 -25 -22 -6 6}}]
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| Mapping generators: ~105/104 = 1\72, ~3/2 = 701.948
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| Optimal tuning (CTE): ~3/2 = 701.948
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| ===2.3.5.7.11.13.17.31.37 subgroup===
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| [[37/22]] is mapped to exact three-quarters of the octave.
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| Subgroup: 2.3.5.7.11.13.17.31
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| Comma list: 10881/10880, 12376/12375, 16576/16575, 93093/93092, 954304/954261, 2737889/2737800, 126607131/126605120
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| Sval mapping: [{{val|72 72 462 876 1302 1193 547 356 378}}, {{val|0 1 -7 -16 -25 -22 -6 6 -25}}]
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| Mapping generators: ~105/104 = 1\72, ~3/2 = 701.948
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| Optimal tuning (CTE): ~3/2 = 701.948
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| == Iridium ==
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| Iridium is named after 77th element, being period-77.
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| Subgroup: 2.3.5.7.11.13.17
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| 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}}]
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| Mapping generators: ~429/425 = 1\77, 975/784 = 377.269
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| Vals: {{EDOs|385, 1848, 7777}}
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| [[Category:Commatic realms]] | | [[Category:Commatic realms]] |
| [[Category:Flashmic]] | | [[Category:Flashmic]] |