116edo: Difference between revisions

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116edo is only [[consistent]] to the [[5-odd-limit]], and is not quite accurate for its size. It can be viewed as splitting [[58edo]]'s step in two, and the [[enfactoring|enfactored]] 116cef [[val]] comes out on top accuracy in the 7-, 11-, and 13-limit. In the 5-limit, however, the [[patent val]] {{val| 116 184 '''269''' }} beats the enfactored 116c val {{val| 116 184 '''270''' }} by a thin margin, and it [[Tempering out|tempers out]] 20000/19683 ([[tetracot comma]]) and 2197265625/2147483648 (wizard comma).

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=== Subsets and supersets ===

Since 116 factors into ~~2<sup>2</sup> × 29~~, 116edo has subset edos {{EDOs| 2, 4, 29, and 58 }}. [[232edo]], which doubles it, is a notable tuning.

Since 116 factors into {{factorisation|116}}, 116edo has subset edos {{EDOs| 2, 4, 29, and 58 }}. [[232edo]], which doubles it, is a notable tuning.

== Intervals ==

@@ Line 1: / Line 1: @@
 {{Infobox ET}}
-{{EDO intro|116}}
+{{EDO intro}}
 edo is only [[consistent]] to the [[5-odd-limit]], and is not quite accurate for its size. It can be viewed as splitting [[58edo]]'s step in two, and the [[enfactoring|enfactored]] 116cef [[val]] comes out on top accuracy in the 7-, 11-, and 13-limit. In the 5-limit, however, the [[patent val]] {{val| 116 184 '''269''' }} beats the enfactored 116c val {{val| 116 184 '''270''' }} by a thin margin, and it [[Tempering out|tempers out]] 20000/19683 ([[tetracot comma]]) and 2197265625/2147483648 (wizard comma).
@@ Line 10: / Line 10: @@
 === Subsets and supersets ===
-Since 116 factors into 2<sup>2</sup> × 29, 116edo has subset edos {{EDOs| 2, 4, 29, and 58 }}. [[232edo]], which doubles it, is a notable tuning.
+Since 116 factors into {{factorisation|116}}, 116edo has subset edos {{EDOs| 2, 4, 29, and 58 }}. [[232edo]], which doubles it, is a notable tuning.
 == Intervals ==