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=== Canonical extensions of note === | === Canonical extensions of note === | ||
The marvel extension [[hecate]] has the no-17's [[19-limit]] as its subgroup, and [[undecimal marvel]] (aka unimarv), the extension chosen by [[ | The marvel extension [[hecate]] has the no-17's [[19-limit]] as its subgroup, and [[undecimal marvel]] (aka unimarv), the extension chosen by [[Gene Ward Smith]], can be extended to the 13-limit. They merge in the rank 2 temperament [[catakleismic]] (which can be conceptualized as accepting both rank 3 marvel structures simultaneously), for which the smallest reasonable edo tuning for the full no-17's 19-limit is [[53edo]] followed by [[72edo]], though in 53edo the 11 and 19 are a little off and in 72edo the 13 and 19 are a little off instead; 72edo is positioned better as a full [[17-limit]] marvel system while 53edo is positioned better as a (potentially no-11's) [[13-limit]] marvel system. If we focus on the 11-limit of undecimal marvel (discarding the mapping of 13), [[31edo]] and [[41edo]] are the smallest to clearly succeed, though many accept 41edo's mapping of [[~]][[13/8]] to the neutral sixth and some accept that mapping for 31edo as contextually usable too. | ||
=== [[53edo]] and [[84edo]] tunings of 7-limit marvel === | === [[53edo]] and [[84edo]] tunings of 7-limit marvel === | ||