31st-octave temperaments: Difference between revisions
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== Euphrosynean == | == Euphrosynean == | ||
''Euphrosynean'' (217 & 1178) temperament combines two multiples of 31, which are large equal divisions consistent in the 21-odd-limit. Named after the minor planet [[ | ''Euphrosynean'' (217 & 1178) temperament combines two multiples of 31, which are large equal divisions consistent in the 21-odd-limit. Named after the minor planet [[wikipedia:31 Euphrosyne|31 Euphrosyne]]. 1395edo, also consistent in 21-odd-limit, is also a tuning. | ||
Subgroup: 2.3.5.7 | Subgroup: 2.3.5.7 | ||
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Comma list: 81/80, 99/98, 121/120, 126/125, 273/272 | Comma list: 81/80, 99/98, 121/120, 126/125, 273/272 | ||
{{Mapping|legend=0| 31 49 72 87 107 115 127 | 0 0 0 0 0 -1 -1 }} | |||
Optimal tuning (CTE): ~45/44 = 1\31, ~13/8 = 840.4879 (~144/143 = 11.1250) | Optimal tuning (CTE): ~45/44 = 1\31, ~13/8 = 840.4879 (~144/143 = 11.1250) | ||
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Comma list: 81/80, 99/98, 121/120, 126/125, 153/152, 273/272 | Comma list: 81/80, 99/98, 121/120, 126/125, 153/152, 273/272 | ||
{{Mapping|legend=0| 31 49 72 87 107 115 127 132 | 0 0 0 0 0 -1 -1 -1 }} | |||
Optimal tuning (CTE): ~45/44 = 1\31, ~13/8 = 840.1820 (~144/143 = 11.4309) | Optimal tuning (CTE): ~45/44 = 1\31, ~13/8 = 840.1820 (~144/143 = 11.4309) | ||