Kleismic family: Difference between revisions

Godtone (talk | contribs)
Godtone (talk | contribs)
Line 37: Line 37:


==== Subgroup extensions ====
==== Subgroup extensions ====
The kleismic family boasts a very remarkable extension to the [[2.3.5.13 subgroup]], which has further extensions with higher primes. These are listed at the bottom of this page, in [[#Subgroup extensions]].
The main extension of note is a very remarkable extension to 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]]}.
 
See [[#Subgroup extensions]].


== Catakleismic ==
== Catakleismic ==