300edo

← 299edo

300edo

301edo →

Prime factorization	22 × 3 × 52
Step size	4 ¢
Fifth	175\300 (700 ¢) (→ 7\12)
Semitones (A1:m2)	25:25 (100 ¢ : 100 ¢)
Dual sharp fifth	176\300 (704 ¢) (→ 44\75)
Dual flat fifth	175\300 (700 ¢) (→ 7\12)
Dual major 2nd	51\300 (204 ¢) (→ 17\100)
Consistency limit	3
Distinct consistency limit	3

300edo is the equal division of the octave into 300 parts of exactly 4 cents each. It is the largest number EDO which tempers out the pythagorean comma, 531441/524288. It is inconsistent to the 5-limit and higher limit, with three mappings possible for the 5-limit: <300 475 697| (patent val), <300 476 697| (300b), and <300 475 696| (300c). Using the patent val, it tempers out 531441/524288 and |47 7 -25> in the 5-limit; 6144/6125, 50421/50000, and 1594323/1568000 in the 7-limit. Using the 300b val, it tempers out 393216/390625 and |51 -38 4> in the 5-limit; 153664/151875, 179200/177147, and 823543/819200 in the 7-limit. Using the 300bd val, it tempers out 10976/10935, 65536/64827, and 390625/388962 in the 7-limit. Using the 300c val, it tempers out 531441/524288 and |-58 0 25> in the 5-limit; 225/224, 250047/250000, and 69206436005/68719476736 in the 7-limit.