Kleismic family: Difference between revisions

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== Subgroup extensions ==
== Subgroup extensions ==
=== Kleismic (2.3.5.13) a.k.a. cata ===
=== Kleismic (2.3.5.13) a.k.a. cata ===
Hanson lends itself nicely to this extension in the 2.3.5.13 subgroup, as the hemitwelfth, reached by three generator steps, can be interpreted as [[26/15]]. Notice 15625/15552 = ([[325/324]])⋅([[625/624]]) and 325/324 = (625/624)⋅([[676/675]]). The [[S-expression]]-based comma list of the temperament is {[[325/324|S10/S12 = S25⋅S26]], ([[625/624|S25]]), [[676/675|S13/S15 = S26]]}. For the high-limit version of cata with a 1\5 period, see [[thunderclysmic]].
Subgroup: 2.3.5.13
Subgroup: 2.3.5.13