180edo: Difference between revisions

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[[Category:Equal divisions of the octave|###]] <!-- 3-digit number -->
[[Category:Equal divisions of the octave|###]] <!-- 3-digit number -->
[[Category:Highly melodic]]
[[Category:Highly composite]]

Revision as of 18:44, 9 October 2022

← 179edo 180edo 181edo →
Prime factorization 22 × 32 × 5 (highly composite)
Step size 6.66667 ¢ 
Fifth 105\180 (700 ¢) (→ 7\12)
Semitones (A1:m2) 15:15 (100 ¢ : 100 ¢)
Consistency limit 7
Distinct consistency limit 7

180edo is the equal division of the octave into 180 parts of 6.6667 cents each. It tempers out 531441/524288 (pythagorean comma) and 30958682112/30517578125 (trisedodge comma) in the 5-limit, as well as 31381059609/30517578125 (mowgli) and 274877906944/274658203125 (hemithirds comma); 1029/1024, 3136/3125, and 118098/117649 in the 7-limit. Using the patent val, it tempers out 540/539, 2835/2816, 4000/3993, and 6912/6875 in the 11-limit; 351/350, 364/363, 1001/1000, and 1701/1690 in the 13-limit. Using the 180e val, it tempers out 385/384, 441/440, 3388/3375, and 216513/214375 in the 11-limit; 351/350, 1188/1183, 1287/1280, 1573/1568, and 3146/3125 in the 13-limit.

180edo is the 11th superabundant EDO.