225edo

← 224edo

225edo

226edo →

Prime factorization	32 × 52
Step size	5.33333 ¢
Fifth	132\225 (704 ¢) (→ 44\75)
Semitones (A1:m2)	24:15 (128 ¢ : 80 ¢)
Dual sharp fifth	132\225 (704 ¢) (→ 44\75)
Dual flat fifth	131\225 (698.667 ¢)
Dual major 2nd	38\225 (202.667 ¢)
Consistency limit	3
Distinct consistency limit	3

225edo is the equal division of the octave into 225 parts of 5.3333 cents each. It is inconsistent to the 5-limit and higher limit, with three mappings possible for the 7-limit:

• ⟨225 357 522 632] (patent val),
• ⟨225 356 522 631] (225bd),
• ⟨225 357 523 632] (225c).

Using the patent val, it tempers out 20000/19683 and 2109375/2097152 in the 5-limit; 3125/3087, 10976/10935, and 589824/588245 in the 7-limit.

Using the 225bd val, it tempers out 78732/78125 (sensipent comma) and [-52 27 4⟩ in the 5-limit; 225/224, 177147/175000, and 40353607/40000000 in the 7-limit.

Using the 225c val, it tempers out 131072000/129140163 (rodan comma) and 30958682112/30517578125 (trisedodge comma) in the 5-limit; 2401/2400, 4375/4374, and 2097152/2066715 in the 7-limit.

Scales

• Bossier8
• Bossier11
• Bossier14