Archytas clan: Difference between revisions

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 : ''For the 5-limit version, see [[Superpyth–22 equivalence continuum #Superpyth (5-limit)]].''
-In the 5-limit, superpyth tempers out 20480/19683. This temperament has a fifth generator of ~3/2 = ~710¢ and ~5/4 is found at +9 generator steps, as an augmented second (C–D#). It also has a weak extension, [[Jubilismic clan #Bipyth|bipyth]] (10cd & 22), tempering out the same 5-limit comma as the superpyth, but with a half-octave period and the jubilisma (50/49) rather than the Archytas comma tempered out.
+Superpyth adds [[245/243]] and [[1728/1715]] to the comma list and can be described as 22 & 27. ~5/4 is found at +9 generator steps, as an augmented second (C–D#).
 [[Subgroup]]: 2.3.5.7