Miracle extensions: Difference between revisions

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 * '''Revelation''' (21 & 31) – tempering out 66/65, 99/98, 105/104, and 512/507.
-For technical information see [[Gamelismic clan #Miracle]].
+As we will see in [[#Interval chain]], miraculous is the only extension whose complexity is at about the same level as the 11-limit. It is [[support]]ed by [[72edo|72f]]. The generator, representing 15/14, and 16/15, goes one step further to stand in for ~14/13, and you can find 11/9~16/13 just three generator steps away. Benediction and manna are available if we want to use the more accurately tuned [[patent val]] mapping of prime [[13/1|13]] in 72edo, in which they merge into one. However, benediction benefits from a flatter tuning such as [[103edo]] whereas manna benefits from a sharper tuning such as [[113edo]].
+Another possible path which relates a sense of compromise is to temper out [[169/168]], leading to [[semimiracle]]. This has the effect of slicing the period in two, and is supported by [[62edo|62]], 72, and [[82edo|82]].
+For technical information see [[Gamelismic clan #Miracle]].
 == Interval chain ==
 In the following table, odd harmonics and subharmonics 1–21 are labeled in '''bold'''.