392edo: Difference between revisions
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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 == | ||
392et is [[consistent]] to the [[7-odd-limit]] with a flat tendency in the [[prime harmonic]]s. | 392et is [[consistent]] to the [[7-odd-limit]] with a flat tendency in the [[prime harmonic]]s. As an equal temperament, it [[tempering out|tempers out]] the [[parakleisma]] in the 5-limit; 321489/320000 ([[varunisma]]), 420175/419904 ([[wizma]]), 703125/702464 ([[meter]]), and 823543/819200 ([[quince comma]]) in the 7-limit; and [[441/440]], [[8019/8000]], [[9801/9800]], and [[41503/41472]] in the 11-limit. It [[support]]s [[qak]] and [[octowerck]]. | ||
=== Odd harmonics === | === Odd harmonics === | ||
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=== Subsets and supersets === | === Subsets and supersets === | ||
392 factors into 2<sup>3</sup> × 7<sup>2</sup>, with subset edos {{EDOs|2, 4, 7, 8, 14, 28, 49, 56, 98, and 196}}. | 392 factors into 2<sup>3</sup> × 7<sup>2</sup>, with subset edos {{EDOs| 2, 4, 7, 8, 14, 28, 49, 56, 98, and 196 }}. | ||
== Regular temperament properties == | == Regular temperament properties == | ||
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| [[Oquatonic]] (5-limit) | | [[Oquatonic]] (5-limit) | ||
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<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 | ||