Revision as of 00:14, 27 June 2020

147edo is the equal division of the octave into 147 parts of 8.1633 cents each. It tempers out 32805/32768 in the 5-limit; 225/224 and 3125/3087 in the 7-limit; 243/242 in the 11-limit; 364/363 in the 13-limit; 442/441 and 595/594 in the 17-limit. It is the optimal patent val for the 11-limit 41&106 temperament.

147 = 3 * 72, with divisors 3, 7, 21 and 49.

Scales

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-'''147edo''' is the [[Equal_division_of_the_octave|equal division of the octave]] into 147 parts of 8.1633 [[cent|cent]]s each. It [[tempering_out|tempers out]] 32805/32768 in the [[5-limit|5-limit]]; 225/224 and 3125/3087 in the [[7-limit|7-limit]]; 243/242 in the [[11-limit|11-limit]]; 364/363 in the [[13-limit|13-limit]]; 442/441 and 595/594 in the [[17-limit|17-limit]]. It is the [[Optimal_patent_val|optimal patent val]] for the 11-limit 41&amp;106 temperament, and is the smallest division which is uniquely [[consistent|consistent]] through the 17-limit.
+'''147edo''' is the [[Equal_division_of_the_octave|equal division of the octave]] into 147 parts of 8.1633 [[cent|cent]]s each. It [[tempering_out|tempers out]] 32805/32768 in the [[5-limit|5-limit]]; 225/224 and 3125/3087 in the [[7-limit|7-limit]]; 243/242 in the [[11-limit|11-limit]]; 364/363 in the [[13-limit|13-limit]]; 442/441 and 595/594 in the [[17-limit|17-limit]]. It is the [[Optimal_patent_val|optimal patent val]] for the 11-limit 41&amp;106 temperament.
 = [[3edo|3]] * [[7edo|7]]<span style="vertical-align: super;">2</span>, with divisors 3, 7, [[21edo|21]] and [[49edo|49]].
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 [[baldy11|baldy11]]
-[[baldy17|baldy17]]      [[Category:147edo]]
+[[baldy17|baldy17]]
+[[Category:147edo]]
 [[Category:baldy]]
 [[Category:edo]]
 [[Category:theory]]