276edo: Difference between revisions

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== Theory ==

~~{{Harmonics in equal|276}}~~

276edo's fifth is quite bad, but it corresponds to [[12edo]]'s fifth, which means the [[patent val]] [[tempering out|tempers out]] the [[Pythagorean comma]]. It thus [[support]]s [[compton]], owing to the fact that it is a 12edo fifth. In the 7-limit, it supports [[grendel]].

276edo's fifth is quite bad, but it corresponds to [[12edo]]'s fifth, which means ~~276edo~~ tempers out the Pythagorean comma. It's ~~sharp val~~ fifth ~~comes from~~ [[~~46edo~~]].

~~It is a multiple of 12~~ and 23.

Its sharp fifth comes from [[46edo]], and the 276b val in the 5-limit supports [[hanson]]. In the 7-limit, it supports [[quadritikleismic]].

=== ~~Patent val~~ ===

=== Odd harmonics ===

~~The patent val of 276edo supports [[compton]] temperament, owing to the fact that it is a 12edo fifth.~~

~~In the 7-limit, 276edo supports [[grendel]].~~

=== ~~276b val~~ ===

=== Subsets and supersets ===

~~In the 5-limit~~, ~~it supports~~ [[~~hanson~~]], ~~but all the variants~~ of ~~it are contorted~~.

Since 276 factors into {{factorization|276}}, 276edo has subset edos {{EDOs| 2, 3, 4, 6, 12, 23, 46, 69, 92, 138 }}. [[552edo]], which doubles it, corrects its approximation of harmonic 3.

~~In the 7-limit, it supports~~ [[~~quadritikleismic~~]].

== Intervals ==

See [[Table of 276edo intervals]].

== Music ==

; [[Eliora]], [[Sevish]], and {{w|Evanescence}}

* [https://www.youtube.com/watch?v=Be6JAoqVCBY ~~Sevish, Evanescence -~~ What The Zoon (Mashup)] ~~- while not a 276edo song per se, it is a mashup of~~ 12edo and 23edo ~~songs.~~

* [https://www.youtube.com/watch?v=Be6JAoqVCBY ''What The Zoon (Mashup)''] (2021) – 12edo and 23edo [[polysystemic]]

@@ Line 1: / Line 1: @@
 {{Infobox ET}}
-{{EDO intro|276}}
+{{ED intro}}
 == Theory ==
-{{Harmonics in equal|276}}
+edo's fifth is quite bad, but it corresponds to [[12edo]]'s fifth, which means the [[patent val]] [[tempering out|tempers out]] the [[Pythagorean comma]]. It thus [[support]]s [[compton]], owing to the fact that it is a 12edo fifth. In the 7-limit, it supports [[grendel]].
-edo's fifth is quite bad, but it corresponds to [[12edo]]'s fifth, which means 276edo tempers out the Pythagorean comma. It's sharp val fifth comes from [[46edo]].
-It is a multiple of 12 and 23.
+Its sharp fifth comes from [[46edo]], and the 276b val in the 5-limit supports [[hanson]]. In the 7-limit,  it supports [[quadritikleismic]].
-=== Patent val ===
+=== Odd harmonics ===
-The patent val of 276edo supports [[compton]] temperament, owing to the fact that it is a 12edo fifth.
+{{Harmonics in equal|276}}
-In the 7-limit, 276edo supports [[grendel]].
-=== 276b val ===
+=== Subsets and supersets ===
-In the 5-limit, it supports [[hanson]], but all the variants of it are contorted.
+Since 276 factors into {{factorization|276}}, 276edo has subset edos {{EDOs| 2, 3, 4, 6, 12, 23, 46, 69, 92, 138 }}. [[552edo]], which doubles it, corrects its approximation of harmonic 3.
-In the 7-limit,  it supports [[quadritikleismic]].
+== Intervals ==
+See [[Table of 276edo intervals]].
 == Music ==
+; [[Eliora]], [[Sevish]], and {{w|Evanescence}}
-* [https://www.youtube.com/watch?v=Be6JAoqVCBY Sevish, Evanescence - What The Zoon (Mashup)] - while not a 276edo song per se, it is a mashup of 12edo and 23edo songs.
+* [https://www.youtube.com/watch?v=Be6JAoqVCBY ''What The Zoon (Mashup)''] (2021) – 12edo and 23edo [[polysystemic]]