129edo: Difference between revisions

Revision as of 18:55, 4 October 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.

The factorization of 129 is 3 and 43

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			{{Infobox ET}}
	'''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]].