345edo: Difference between revisions

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=== Subsets and supersets ===
=== Subsets and supersets ===
Since 345 factors into 3 × 5 × 23, 345edo has subset edos {{EDOs| 3, 5, 15, 23, 69, and 115 }}.
Since 345 factors into {{factorisation|345}}, 345edo has subset edos {{EDOs| 3, 5, 15, 23, 69, and 115 }}.


== Regular temperament properties ==
== Regular temperament properties ==
Line 26: Line 26:
| {{monzo| 547 -345 }}
| {{monzo| 547 -345 }}
| {{mapping| 345 547 }}
| {{mapping| 345 547 }}
| −0.2062
| −0.2062
| 0.2062
| 0.2062
| 5.93
| 5.93
Line 33: Line 33:
| {{monzo| 3 -18 11 }}, {{monzo| 47 -15 -10 }}
| {{monzo| 3 -18 11 }}, {{monzo| 47 -15 -10 }}
| {{mapping| 345 547 801 }}
| {{mapping| 345 547 801 }}
| −0.1050
| −0.1050
| 0.2210
| 0.2210
| 6.35
| 6.35
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| 5120/5103, 16875/16807, 68359375/68024448
| 5120/5103, 16875/16807, 68359375/68024448
| {{mapping| 345 547 801 969 }}
| {{mapping| 345 547 801 969 }}
| −0.2220
| −0.2220
| 0.2788
| 0.2788
| 8.02
| 8.02
Line 47: Line 47:
| 540/539, 1375/1372, 5120/5103, 1953125/1940598
| 540/539, 1375/1372, 5120/5103, 1953125/1940598
| {{mapping| 345 547 801 969 1194 }}
| {{mapping| 345 547 801 969 1194 }}
| −0.2773
| −0.2773
| 0.2728
| 0.2728
| 7.84
| 7.84
Line 54: Line 54:
| 540/539, 625/624, 1375/1372, 4225/4224, 5120/5103
| 540/539, 625/624, 1375/1372, 4225/4224, 5120/5103
| {{mapping| 345 547 801 969 1194 1277 }}
| {{mapping| 345 547 801 969 1194 1277 }}
| −0.2857
| −0.2857
| 0.2497
| 0.2497
| 7.18
| 7.18
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| [[Quintosec]] (5-limit)
| [[Quintosec]] (5-limit)
|}
|}
<nowiki />* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if it is distinct
<nowiki />* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if distinct


[[Category:Kwai]]
[[Category:Kwai]]