277edo

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277edo

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Prime factorization	277 (prime)
Step size	4.33213 ¢
Fifth	162\277 (701.805 ¢)
Semitones (A1:m2)	26:21 (112.6 ¢ : 90.97 ¢)
Consistency limit	5
Distinct consistency limit	5

277EDO is the equal division of the octave into 277 parts of 4.3321 cents each. It tempers out 32805/32768 (schisma) and |-11 -37 30> in the 5-limit. Using the patent val, it tempers out 4375/4374, 65625/65536, and 829440/823543 in the 7-limit; 540/539, 6250/6237, 15488/15435, and 35937/35840 in the 11-limit; 625/624, 729/728, 1573/1568, 2080/2079, and 2200/2197 in the 13-limit. Using the 277d val, it tempers out 1029/1024, 10976/10935, and 48828125/48771072 in the 7-limit; 385/384, 441/440, 19712/19683, and 234375/234256 in the 11-limit; 625/624, 847/845, 1001/1000, and 1575/1573 in the 13-limit. The patent val supports the pontiac, and the 277d val supports the guiron and the widefourth.

277EDO is the 59th prime EDO.