Fractional-octave temperaments: Difference between revisions

Eliora (talk | contribs)
adding ruthenium
Eliora (talk | contribs)
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Subgroup: 2.3.5.7
Subgroup: 2.3.5.7


Comma list: -8  23 -5  -6, 51 -13 -1 -10
Comma list: {{monzo|-8  23 -5  -6}}, {{monzo|51 -13 -1 -10}}


Mapping generators: ~64/63, ~3/2
Mapping generators: ~64/63, ~3/2


Mapping: 44 44 -78 175, 0 1 7 -2
Mapping: [{{val|44 44 -78 175}}, {{val|0 1 7 -2}}]


Optimal tuning (CTE): ~3/2 = 701.942
Optimal tuning (CTE): ~3/2 = 701.942


Vals: 1848, 2684, ...
Vals: {{EDOs|1848, 2684}}, ...


=== 11-limit ===
=== 11-limit ===
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Mapping generators: ~64/63, ~3/2
Mapping generators: ~64/63, ~3/2


Mapping: 44 44 -78 175 75, 0 1 7 -2 3
Mapping: [{{val|44 44 -78 175 75}}, {{val|0 1 7 -2 3}}]


Optimal tuning (CTE): ~3/2 = 701.943
Optimal tuning (CTE): ~3/2 = 701.943
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Comma list: 9801/9800, 1990656/1990625, 1664000/1663893, 1554464925/1554251776
Comma list: 9801/9800, 1990656/1990625, 1664000/1663893, 1554464925/1554251776


Mapping: 44 44 -78 175 75 832, 0 1 7 -2 3 -26
Mapping: [{{val|44 44 -78 175 75 832}}, {{val|0 1 7 -2 3 -26}}]


Optimal tuning (CTE): ~3/2 = 701.939
Optimal tuning (CTE): ~3/2 = 701.939