24edt: Difference between revisions
Created page with "'''24EDT''' is the equal division of the third harmonic into 24 parts of 79.2481 cents each, corresponding to 15.1423 edo (similar to every seventh step o..." Tags: Mobile edit Mobile web edit |
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'''24EDT''' is the [[Edt|equal division of the third harmonic]] into 24 parts of 79.2481 [[cent|cents]] each, corresponding to 15.1423 [[edo]] (similar to every seventh step of [[106edo]]). | '''24EDT''' is the [[Edt|equal division of the third harmonic]] into 24 parts of 79.2481 [[cent|cents]] each, corresponding to 15.1423 [[edo]] (similar to every seventh step of [[106edo]]). It is related to the rank-three temperament which tempers out 325/324, 625/624, and 468512/468195 in the 13-limit, which is supported by [[15edo|15]], [[106edo|106]], [[121edo|121]], [[212edo|212]], and [[227edo|227]] EDOs. | ||
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| | [[3/2|just perfect fifth]] plus an octave | | | [[3/2|just perfect fifth]] plus an octave | ||
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==Related temperament== | |||
===11-limit 15&106&212=== | |||
Commas: 15625/15552, 585640/583443 | |||
POTE generators: ~7/4 = 968.8778, ~22/21 = 79.2597 | |||
Map: [<1 0 1 0 -1|, <0 24 20 0 25|, <0 0 0 1 1|] | |||
EDOs: 15, 106, 121, 212, 227 | |||
===13-limit 15&106&212=== | |||
Commas: 325/324, 625/624, 468512/468195 | |||
POTE generators: ~7/4 = 968.8187, ~22/21 = 79.2727 | |||
Map: [<1 0 1 0 -1 0|, <0 24 20 0 25 56|, <0 0 0 1 1 0|] | |||
EDOs: 15, 106, 121, 212, 227 | |||
[[Category:Edt]] | [[Category:Edt]] | ||
[[Category:Edonoi]] | [[Category:Edonoi]] | ||