214edo: Difference between revisions
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Created page with "213edo is the equal division of the octave into 213 parts of 5.6075 cents each. It is (uniquely) consistent through the 9-odd-limit and tempers out the following commas up..." |
214edo, not 213edo |
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214edo is the equal division of the octave into 214 parts of 5.6075 cents each. It is (uniquely) consistent through the [[9-odd-limit]] and tempers out the following commas up to the 13-limit: |51 19 9> and |2 9 -7> in the 5-limit; |-9 8 -4 2>, |0 3 4 -5>, 6144 / 6125 and |22 -1 -10 1> in the 7-limit; 1375 / 1372 in the 11-limit; 1188 / 1183, 351 / 350 and 847 / 845 in the 13-limit. The patent val for 214-EDO is <214 339 497 601|. It can be viewed as a 2.13/5 subgroup temperament, as its approximations for lower prime limits are very poor but. However, this makes 214-EDO an exceptionally xenharmonic tuning. | |||
Revision as of 20:08, 29 August 2019
214edo is the equal division of the octave into 214 parts of 5.6075 cents each. It is (uniquely) consistent through the 9-odd-limit and tempers out the following commas up to the 13-limit: |51 19 9> and |2 9 -7> in the 5-limit; |-9 8 -4 2>, |0 3 4 -5>, 6144 / 6125 and |22 -1 -10 1> in the 7-limit; 1375 / 1372 in the 11-limit; 1188 / 1183, 351 / 350 and 847 / 845 in the 13-limit. The patent val for 214-EDO is <214 339 497 601|. It can be viewed as a 2.13/5 subgroup temperament, as its approximations for lower prime limits are very poor but. However, this makes 214-EDO an exceptionally xenharmonic tuning.