4L 3s: Difference between revisions
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[[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. Kleismic is a [[5-limit]] microtemperament that tempers out the [[kleisma]] 15625/15552. The generator is close to a pure [[6/5]] minor third, and 6 minor thirds are used to reach [[3/2]]. The 7-note MOS only has one perfect fifth, so bigger MOSes, such as the [[4L 7s]] 11-note MOS, are suggested for getting 5-limit harmony. | [[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. Kleismic is a [[5-limit]] microtemperament that tempers out the [[kleisma]] 15625/15552. The generator is close to a pure [[6/5]] minor third, and 6 minor thirds are used to reach [[3/2]]. The 7-note MOS only has one perfect fifth, so bigger MOSes, such as the [[4L 7s]] 11-note MOS, are suggested for getting 5-limit harmony. | ||
EDOs that support kleismic include [[15edo]], [[19edo]], [[34edo]], [[53edo]], and [[87edo]]. | EDOs that support kleismic include [[15edo]], [[19edo]], [[34edo]], [[53edo]], [[72edo]], 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. | ||