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31st-octave temperaments: Difference between revisions

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[[Mapping]]: [{{val| 31 49 72 87 }}, {{val| 0 1 0 0 }}]
[[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
[[POTE generator]]: ~1029/1024 = 5.1551
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Mapping: [{{val| 31 49 72 87 107 }}, {{val| 0 1 0 0 2 }}]
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
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 }}]
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
POTE generator: ~385/384 = 5.1703
Line 117: Line 111:
Badness: 0.021271
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
Subgroup: 2.3.5.7
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