The Flashmob: Difference between revisions
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Comma list: 9801/9800, 250047/250000, 184549376/184528125, 463373664/463203125 | Comma list: 9801/9800, 250047/250000, 184549376/184528125, 463373664/463203125 | ||
Mapping: 72 72 462 876 1302 1193, 0 1 -7 -16 -25 -22 | Mapping: [{{val|72 72 462 876 1302 1193}}, {{val|0 1 -7 -16 -25 -22}}] | ||
Mapping generators: ~105/104 = 1\72, ~3/2 = 701.948 | Mapping generators: ~105/104 = 1\72, ~3/2 = 701.948 | ||
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Comma list: 9801/9800, 12376/12375, 21879/21875, 194481/194480, 1713660/1713481, 97144749/97140736 | Comma list: 9801/9800, 12376/12375, 21879/21875, 194481/194480, 1713660/1713481, 97144749/97140736 | ||
Mapping: 72 72 462 876 1302 1193 547, 0 1 -7 -16 -25 -22 -6 | Mapping: [{{val|72 72 462 876 1302 1193 547}}, {{val|0 1 -7 -16 -25 -22 -6}}] | ||
Mapping generators: ~105/104 = 1\72, ~3/2 = 701.948 | Mapping generators: ~105/104 = 1\72, ~3/2 = 701.948 | ||
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Vals: 1224, 1872def, 4320, 5544 | Vals: 1224, 1872def, 4320, 5544 | ||
[[Category:Commatic realms]] | |||
[[Category:Flashmic]] | |||
Revision as of 18:14, 16 January 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.
Temperaments discussed elsewhere include:
- Minutes → 60th-octave temperaments#Minutes
- Mercury → 80th-octave temperaments#Mercury
Hafnium
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.
Subgroup: 2.3.5.7.11.13
Comma list: 9801/9800, 250047/250000, 184549376/184528125, 463373664/463203125
Mapping: [⟨72 72 462 876 1302 1193], ⟨0 1 -7 -16 -25 -22]]
Mapping generators: ~105/104 = 1\72, ~3/2 = 701.948
Optimal tuning (CTE): ~3/2 = 701.948
Vals: 1224, 1872def, 4320, 5544
17-limit
Subgroup: 2.3.5.7.11.13.17
Comma list: 9801/9800, 12376/12375, 21879/21875, 194481/194480, 1713660/1713481, 97144749/97140736
Mapping: [⟨72 72 462 876 1302 1193 547], ⟨0 1 -7 -16 -25 -22 -6]]
Mapping generators: ~105/104 = 1\72, ~3/2 = 701.948
Optimal tuning (CTE): ~3/2 = 701.948
Vals: 1224, 1872def, 4320, 5544