66edo: Difference between revisions
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== Theory == | == Theory == | ||
{{Harmonics in equal|66}} | {{Harmonics in equal|66}} | ||
The [[patent val]] 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]], | The [[patent val]] 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. | 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. | ||