Catakleismic: Difference between revisions

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The '''catakleismic''' temperament is one of the best extensions of hanson, the 5-limit temperament tempering out the [[kleisma]].  
The '''catakleismic''' temperament is one of the best extensions of hanson, the 5-limit temperament tempering out the [[kleisma]].  


Catakleismic is naturally viewed as a 2.3.5.7.13 temperament, first extending hanson to include the harmonic 13 (called '''cata'''), and then to include 7. Various reasonable extensions exist for harmonic 11. These are ''undecimal catakleismic'', mapping 11 to -21 generator steps, ''cataclysmic'', to +32 steps, ''catalytic'', to +51 steps, and cataleptic, to -2 steps.  
Catakleismic is naturally viewed as a 2.3.5.7.13 temperament, first extending hanson to include the harmonic 13 (called [[cata]]), and then to include 7. Various reasonable extensions exist for harmonic 11. These are ''undecimal catakleismic'', mapping 11 to -21 generator steps, ''cataclysmic'', to +32 steps, ''catalytic'', to +51 steps, and cataleptic, to -2 steps.  


See [[Kleismic family #Catakleismic]] for technical data.
See [[Kleismic family #Catakleismic]] for technical data.