4L 3s: Difference between revisions

Inthar (talk | contribs)
m Intervals: clarify that there are two different possible chromatic mos patterns
Inthar (talk | contribs)
m Kleismic: 87edo is another accurate edo that is kleismic
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=== Kleismic ===
=== Kleismic ===
[[Kleismic]] (aka hanson or keemun) tunings (with generator a minor third sharper than 5\19 and flatter than 4\15) have step ratios between 3/1 and 4/1. It is a [[5-limit]] microtemperament supported by the likes of [[53edo]]. The generator is close to a [[6/5]], and 6 of them are used to reach [[3/2]]; hence kleismic tempers out the [[kleisma]] 15625/15552.
[[Kleismic]] (aka hanson or keemun) tunings (with generator a minor third sharper than 5\19 and flatter than 4\15) have step ratios between 3/1 and 4/1. It is a [[5-limit]] microtemperament. The generator is close to a [[6/5]], and 6 of them are used to reach [[3/2]]; hence kleismic tempers out the [[kleisma]] 15625/15552.


EDOs that support kleismic include [[15edo]], [[19edo]], [[34edo]], and [[53edo]].
EDOs that support kleismic include [[15edo]], [[19edo]], [[34edo]], [[53edo]], and [[87edo]].


The sizes of the generator, large step and small step of smitonic are as follows in various kleismic tunings.  
The sizes of the generator, large step and small step of smitonic are as follows in various kleismic tunings.  
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== Intervals ==
== Intervals ==
{| class="wikitable center-all"
{| class="wikitable center-all"