214edo

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Revision as of 21:22, 4 October 2022 by Plumtree (talk | contribs) (Infobox ET added)
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← 213edo 214edo 215edo →
Prime factorization 2 × 107
Step size 5.60748 ¢ 
Fifth 125\214 (700.935 ¢)
Semitones (A1:m2) 19:17 (106.5 ¢ : 95.33 ¢)
Consistency limit 7
Distinct consistency limit 7

214edo is the equal division of the octave into 214 parts of 5.6075 cents each. It is (uniquely) consistent through the 7-odd-limit. The patent val for 214edo is 214 339 497 601 740 792], which tempers out the following commas: 78732/78125 (sensipent comma) and [-51 19 9 (untriton comma) in the 5-limit; 6144/6125 (porwell), 16875/16807 (mirkwai), 321489/320000 (varunisma), and [22 -1 -10 1 (quasiorwellisma) in the 7-limit; 540/539 and 1375/1372 in the 11-limit; 1188/1183, 351/350 and 847/845 in the 13-limit. It can be viewed as a 2.13/5 subgroup temperament, as its approximations for lower prime limits are very poor but this makes 214edo an exceptionally xenharmonic tuning.