1407edo: Difference between revisions
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 == | ||
1407edo is excellent in the 7-limit, in which it supports the 441 & 966 [[akjayland]] temperament with period 21. Just like 441edo, it [[tempering out|tempers out]] the [[akjaysma]] and the [[landscape comma]]. However, unlike 441edo it does not temper out the tritrizo comma, since 1407 is not divisible by 9. | 1407edo is excellent in the 7-limit, in which it supports the 441 & 966 [[akjayland]] temperament with period 21. Just like 441edo, it [[tempering out|tempers out]] the [[akjaysma]] and the [[landscape comma]]. However, unlike 441edo it does not temper out the tritrizo comma, since 1407 is not divisible by 9. | ||
It tunes the [[pure bastille]] temperament in the 1407eff val and the [[marvelous bastille]] temperament in the [[patent val]] in the 13-limit. | It tunes the [[pure bastille]] temperament in the 1407eff val and the [[marvelous bastille]] temperament in the [[patent val]] in the 13-limit. | ||
=== Prime harmonics === | === Prime harmonics === | ||
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=== Rank-2 temperaments === | === Rank-2 temperaments === | ||
{| class="wikitable center-all left-5" | {| class="wikitable center-all left-5" | ||
|+Table of rank-2 temperaments by generator | |+ style="font-size: 105%;" | Table of rank-2 temperaments by generator | ||
! Periods<br>per 8ve | |- | ||
! Periods<br />per 8ve | |||
! Generator* | ! Generator* | ||
! Cents* | ! Cents* | ||
! Associated<br> | ! Associated<br />ratio* | ||
! Temperaments | ! Temperaments | ||
|- | |- | ||
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|- | |- | ||
| 21 | | 21 | ||
| 686\1407<br>(16\1407) | | 686\1407<br />(16\1407) | ||
| 585.074<br>(13.646) | | 585.074<br />(13.646) | ||
| 91875/65536<br>(126/125) | | 91875/65536<br />(126/125) | ||
| [[Akjayland]] | | [[Akjayland]] | ||
|} | |} | ||
<nowiki>* | <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 | ||
[[Category:Akjayland]] | [[Category:Akjayland]] | ||