31st-octave temperaments: Difference between revisions

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-{{Fractional-octave navigation|31}}
+{{Technical data page}}
+{{Infobox fractional-octave|31}}
 This page collects rank-2 temperaments with a period that is 1/31 of an octave.
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 [[Mapping]]: [{{val| 31 49 72 87 }}, {{val| 0 1 0 0 }}]
-{{Multival|legend=1| 31 0 0 -72 -87 0 }}
 [[POTE generator]]: ~1029/1024 = 5.1551
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 Mapping: [{{val| 31 49 72 87 107 }}, {{val| 0 1 0 0 2 }}]
-{{Multival|legend=1| 31 0 0 62 -72 -87 -9 0 144 174 }}
 POTE generator: ~385/384 = 4.9377
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 Mapping: [{{val| 31 49 72 87 107 115 }}, {{val| 0 1 0 0 2 -2 }}]
-{{Multival|legend=1| 31 0 0 62 -62 -72 -87 -9 -213 0 144 -144 174 -174 -444 }}
 POTE generator: ~385/384 = 5.1703
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 Badness: 0.021271
-== 217 & 1178 ==
+== Euphrosynean ==
-The 217 & 1178 temperament combines two multiples of 31, which are large equal divisions consistent in the 21-odd-limit. 1395edo, also consistent in 21-odd-limit, is also a tuning.
+''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
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 Badness: 0.019963
+{{Navbox fractional-octave}}