116edo: Difference between revisions
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'''116edo''' is the [[EDO|equal division of the octave]] into 116 parts of 10.3448 cents each. It tempers out 20000/19683 (tetracot comma) and 2197265625/2147483648 (wizard comma) in the 5-limit. Using the patent val, it tempers out 225/224, 15625/15309, and 51200/50421 in the 7-limit; 385/384, 540/539, 4000/3993, and 6655/6561 in the 11-limit; 169/168, 275/273, 352/351, and 640/637 in the 13-limit. 116edo provides the optimal patent val for [[Marvel temperaments|submajor temperament]]. | '''116edo''' is the [[EDO|equal division of the octave]] into 116 parts of 10.3448 cents each. It tempers out 20000/19683 (tetracot comma) and 2197265625/2147483648 (wizard comma) in the 5-limit. Using the patent val, it tempers out 225/224, 15625/15309, and 51200/50421 in the 7-limit; 385/384, 540/539, 4000/3993, and 6655/6561 in the 11-limit; 169/168, 275/273, 352/351, and 640/637 in the 13-limit. 116edo provides the optimal patent val for [[Marvel temperaments|submajor temperament]]. | ||
Since 116edo has a step of 10.3448 cents, it also allows one to use its MOS scales as circulating temperaments. | Since 116edo has a step of 10.3448 cents, it also allows one to use its MOS scales as circulating temperaments. | ||
{| class="wikitable" | {| class="wikitable" | ||
|+Circulating temperaments in 116edo | |+Circulating temperaments in 116edo | ||
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|24L 68s | |24L 68s | ||
|} | |} | ||
[[Category:Equal divisions of the octave]] | |||
[[Category:Equal divisions of the octave|###]] <!-- 3-digit number --> | |||