246edo: Difference between revisions

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 {{Infobox ET}}
-edo divides the 2/1 (octave) into 246 equal steps of 4.878 [[cents|cents]].
+{{EDO intro}}
-The patent val offers excellent approximations (within half a cent) of primes 3, 11, 19, and 29, and quite good approximations (within one cent) of primes 5 and 23.
+== Theory ==
+= 6 × 41, and 246edo shares its [[perfect fifth|fifth]] with 41edo. It is only [[consistent]] to the [[5-odd-limit]], but the [[patent val]] offers excellent approximations (within half a cent) of [[prime harmonic]]s [[11/1|11]], [[19/1|19]], and [[29/1|29]], and quite good approximations (within one cent) of [[5/1|5]] and [[23/1|23]]. It provides the [[optimal patent val]] for [[cata]], the 2.3.5.13 [[subgroup]] temperament [[tempering out]] [[325/324]] and [[625/624]].
-== Harmonics ==
+=== Prime harmonics ===
 {{Harmonics in equal|246}}
-==Scales==
+=== Subsets and supersets ===
-* [[cata7]]
+Since 246 factors into {{factorization|246}}, 246edo has subset edos {{EDOs| 2, 3, 6, 41, 82, and 123 }}.
-* [[cata11]]
-* [[cata15]]
-* [[cata19]]
-* [[File:cata_246edo.jpg|alt=cata_246edo.jpg|cata_246edo.jpg]]
-[[Category:Equal divisions of the octave|###]] <!-- 3-digit number -->
+== Scales ==
+[[File:cata_246edo.jpg|thumb|alt=cata_246edo.jpg|Cata in 246edo]]
+* [[Cata7]]
+* [[Cata11]]
+* [[Cata15]]
+* [[Cata19]]
+[[Category:Cata]]