412edo: Difference between revisions
ArrowHead294 (talk | contribs) m Partial undo |
m Text replacement - "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct" to "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct" |
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{{Infobox ET}} | {{Infobox ET}} | ||
{{ | {{ED intro}} | ||
== Theory == | == Theory == | ||
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=== Subsets and supersets === | === Subsets and supersets === | ||
412 factors into | 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 }} | ||
| | | −0.1501 | ||
| 0.2182 | | 0.2182 | ||
| 7.49 | | 7.49 | ||
| Line 40: | Line 40: | ||
| 6144/6125, 2460375/2458624, 49009212/48828125 | | 6144/6125, 2460375/2458624, 49009212/48828125 | ||
| {{mapping| 412 653 957 1157 }} | | {{mapping| 412 653 957 1157 }} | ||
| | | −0.2085 | ||
| 0.2143 | | 0.2143 | ||
| 7.36 | | 7.36 | ||
| Line 79: | Line 79: | ||
| [[Septisuperfourth]] (7-limit) | | [[Septisuperfourth]] (7-limit) | ||
|} | |} | ||
<nowiki />* [[Normal | <nowiki />* [[Normal forms #Equave-reduced-generator form|Octave-reduced form]], reduced to the first half-octave, and [[normal forms #Minimal-generator form|minimal form]] in parentheses if distinct | ||