280edo: Difference between revisions

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~~== Theory ==~~

280edo is [[enfactoring|enfactored]] in the 7-limit, with the same tuning as [[140edo]]. It has a [[consistency|consistency limit]] of only 7. The approximation of [[11/1|11]] is improved over 140edo, tempering out [[3025/3024]]. It supplies the [[optimal patent val]] for 13-limit [[enki]], the rank-3 temperament tempering out [[325/324]], [[364/363]], and [[625/624]].

~~This EDO~~ has a consistency limit of only 7.

=== Prime harmonics ===

[[Category:~~Equal divisions of the octave|###~~]] ~~~~

=== Subsets and supersets ===

Since 280 factors into 2<sup>3</sup> × 5 × 7, it has subset edos {{EDOs| 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, and 140 }}.

[[Category:Enki]]

@@ Line 1: / Line 1: @@
 {{Infobox ET}}
-{{EDO intro|280}}
+{{ED intro}}
-== Theory ==
+edo is [[enfactoring|enfactored]] in the 7-limit, with the same tuning as [[140edo]]. It has a [[consistency|consistency limit]] of only 7. The approximation of [[11/1|11]] is improved over 140edo, tempering out [[3025/3024]]. It supplies the [[optimal patent val]] for 13-limit [[enki]], the rank-3 temperament tempering out [[325/324]], [[364/363]], and [[625/624]].
-This EDO has a consistency limit of only 7.
-{{Harmonics in equal|28}}
+=== Prime harmonics ===
+{{Harmonics in equal|280}}
-[[Category:Equal divisions of the octave|###]] <!-- 3-digit number -->
+=== Subsets and supersets ===
+Since 280 factors into 2<sup>3</sup> × 5 × 7, it has subset edos {{EDOs| 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, and 140 }}.
+[[Category:Enki]]