848edo: Difference between revisions

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 {{Infobox ET}}
-{{EDO intro|848}}
+{{ED intro}}
-edo is consistent in the 15-odd-limit and contains the famous [[53edo]] as a subset. In the 5-limit, it is a very strong system, which tempers out the [[Mercator's comma]]. It also tunes [[kwazy]] and provides the [[optimal patent val]] for the [[geb]] temperament.
+edo is [[consistent]] to the [[15-odd-limit]] and contains the famous [[53edo]] as a subset. In the 5-limit, it is a very strong system, which [[tempering out|tempers out]] the [[Mercator's comma]]. It also tunes [[kwazy]] and provides the [[optimal patent val]] for the 5-limit [[geb]] temperament.
+In higher limits, it is a strong 2.3.5.13.23 [[subgroup]] system, with optional additions of either [[7/1|7]] and [[11/1|11]] or [[17/1|17]] and [[19/1|19]]. It provides the optimal patent val for sextantonic, the rank-4 temperament tempering out [[2601/2600]] in the 2.3.5.13.17 subgroup.
-In higher limits, it is a strong 2.3.5.13.23 system.
 === Prime harmonics ===
-{{harmonics in equal|848}}
+{{Harmonics in equal|848}}
+=== Subsets and supersets ===
+Since 848 factors into {{factorization|848}}, 848edo has subset edos {{EDOs| 2, 4, 8, 16, 53, 106, 212, and 424 }}.
+[[Category:Geb]]