No-elevens subgroup temperaments: Difference between revisions

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 [[Tp tuning #T2 tuning|RMS error]]: 0.1852 cents
+== Beet ==
+Being describable as [[mynucumic]] [[archy]] [[biome]], this temperament has the logic common to 13-limit [[beatles]], [[Archytas_clan#Ringo|ringo]] and [[Archytas_clan#Beetle|beetle]]; in other words, they all only differ by the mapping of 11. The mapping of 11 provided by [[ares]] is seen as the canonic extension of [[beatles]] to the 11-limit. If you want a good patent val tuning, [[27edo]] is about as good as you're going to get if you want the major third to have a good chance at being able to function contextually as both a ~[[9/7]] and ~[[13/10]] if you're targetting the no-11's [[13-odd-limit]].
+The S-expression-based comma list of this temperament is {S8, S12, S13}
+Subgroup: 2.3.5.7.13
+Comma list: 64/63, 686/675, 512/507
+Mapping: {{mapping| 1 1 5 4 4 | 0 2 -9 -4 -1 }}
+Optimal tuning ([[CTE]]): 356.645
+All [[patent val]] [[EDO]] tunings: 10, 27, 37
 [[Category:Temperament collections]]
 [[Category:Subgroup temperaments]]
 [[Category:Rank 2]]