129edo: Difference between revisions
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'''129edo''' is the [[Equal_division_of_the_octave|equal division of the octave]] into 129 parts of 9.302 [[cent|cent]]s each. It provides the [[Optimal_patent_val|optimal patent val]] for the 11-limit rank three [[Didymus_rank_three_family|clio temperament]]. It [[tempering_out|tempers out]] 81/80 in the [[5-limit|5-limit]]; 1029/1024 and 1728/1715 in the [[7-limit|7-limit]]; 176/175 and 540/539 in the [[11-limit|11-limit]]; 507/500, 676/675 and 847/845 in the [[13-limit|13-limit]]; 221/220 in the [[17-limit|17-limit]]; 171/170 and 286/285 in the [[19-limit|19-limit]]. | '''129edo''' is the [[Equal_division_of_the_octave|equal division of the octave]] into 129 parts of 9.302 [[cent|cent]]s each. It provides the [[Optimal_patent_val|optimal patent val]] for the 11-limit rank three [[Didymus_rank_three_family|clio temperament]]. It [[tempering_out|tempers out]] 81/80 in the [[5-limit|5-limit]]; 1029/1024 and 1728/1715 in the [[7-limit|7-limit]]; 176/175 and 540/539 in the [[11-limit|11-limit]]; 507/500, 676/675 and 847/845 in the [[13-limit|13-limit]]; 221/220 in the [[17-limit|17-limit]]; 171/170 and 286/285 in the [[19-limit|19-limit]]. | ||
The factorization of 129 is [[3edo|3]] and [[43edo|43]] | The factorization of 129 is [[3edo|3]] and [[43edo|43]] | ||
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Revision as of 16:27, 2 July 2022
129edo is the equal division of the octave into 129 parts of 9.302 cents each. It provides the optimal patent val for the 11-limit rank three clio temperament. It tempers out 81/80 in the 5-limit; 1029/1024 and 1728/1715 in the 7-limit; 176/175 and 540/539 in the 11-limit; 507/500, 676/675 and 847/845 in the 13-limit; 221/220 in the 17-limit; 171/170 and 286/285 in the 19-limit.