66edo: Difference between revisions

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The 66 equal division divides the octave into 66 equal parts of 18.182 cents each. The patent is contorted in the 5-limit, tempering out the same commas 250/243, 2048/2025 and 3125/3072 as [[22edo|22edo]]. In the 7-limit it tempers out 686/675 and 1029/1024, in the 11-limit 55/54, 100/99 and 121/120, in the 13-limit 91/90, 169/168, 196/195 and in the 17-limit 136/135 and 256/255. It provides the [[Optimal_patent_val|optimal patent val]] for 11- and 13-limit [[Porcupine_family#Ammonite|ammonite temperament]].

The <b>66 equal division</b> or <b>66-EDO</b> divides the octave into 66 equal parts of 18.182 cents each. The patent is contorted in the 5-limit, tempering out the same commas 250/243, 2048/2025 and 3125/3072 as [[22edo|22edo]]. In the 7-limit it tempers out 686/675 and 1029/1024, in the 11-limit 55/54, 100/99 and 121/120, in the 13-limit 91/90, 169/168, 196/195 and in the 17-limit 136/135 and 256/255. It provides the [[Optimal_patent_val|optimal patent val]] for 11- and 13-limit [[Porcupine_family#Ammonite|ammonite temperament]].

The 66b val tempers out 16875/16384 in the 5-limit, 126/125, 1728/1715 and 2401/2400 in the 7-limit, 99/98 and 385/384 in the 11-limit, and 105/104, 144/143 and 847/845 in the 13-limit.

[[Category:ammonite]]

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-The 66 equal division divides the octave into 66 equal parts of 18.182 cents each. The patent is contorted in the 5-limit, tempering out the same commas 250/243, 2048/2025 and 3125/3072 as [[22edo|22edo]]. In the 7-limit it tempers out 686/675 and 1029/1024, in the 11-limit 55/54, 100/99 and 121/120, in the 13-limit 91/90, 169/168, 196/195 and in the 17-limit 136/135 and 256/255. It provides the [[Optimal_patent_val|optimal patent val]] for 11- and 13-limit [[Porcupine_family#Ammonite|ammonite temperament]].
+The <b>66 equal division</b> or <b>66-EDO</b> divides the octave into 66 equal parts of 18.182 cents each. The patent is contorted in the 5-limit, tempering out the same commas 250/243, 2048/2025 and 3125/3072 as [[22edo|22edo]]. In the 7-limit it tempers out 686/675 and 1029/1024, in the 11-limit 55/54, 100/99 and 121/120, in the 13-limit 91/90, 169/168, 196/195 and in the 17-limit 136/135 and 256/255. It provides the [[Optimal_patent_val|optimal patent val]] for 11- and 13-limit [[Porcupine_family#Ammonite|ammonite temperament]].
 The 66b val tempers out 16875/16384 in the 5-limit, 126/125, 1728/1715 and 2401/2400 in the 7-limit, 99/98 and 385/384 in the 11-limit, and 105/104, 144/143 and 847/845 in the 13-limit.
 [[Category:ammonite]]