412edo: Difference between revisions

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=== Subsets and supersets ===
=== Subsets and supersets ===
412 factors into 2<sup>2</sup> × 103, with subset edos {{EDOs|2, 4, 103, and 206}}. [[1236edo]], which triples it, gives a good correction to harmonics 5, 7, and 11.
412 factors into {{factorisation|412}}, with subset edos {{EDOs|2, 4, 103, and 206}}. [[1236edo]], which triples it, gives a good correction to harmonics 5, 7, and 11.


== Regular temperament properties ==
== Regular temperament properties ==
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| {{monzo| 32 -7 -9 }}, {{monzo| -5 31 -19 }}
| {{monzo| 32 -7 -9 }}, {{monzo| -5 31 -19 }}
| {{mapping| 412 653 957 }}
| {{mapping| 412 653 957 }}
| &minus;0.1501
| −0.1501
| 0.2182
| 0.2182
| 7.49
| 7.49
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| 6144/6125, 2460375/2458624, 49009212/48828125
| 6144/6125, 2460375/2458624, 49009212/48828125
| {{mapping| 412 653 957 1157 }}
| {{mapping| 412 653 957 1157 }}
| &minus;0.2085
| −0.2085
| 0.2143
| 0.2143
| 7.36
| 7.36
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| [[Septisuperfourth]] (7-limit)
| [[Septisuperfourth]] (7-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