12ed12/5

12 equal divisions of 12/5 (12ed12/5) is the tuning system that divides the classic minor tenth (12/5) into a number of equal steps.

← 11ed12/5

12ed12/5

13ed12/5 →

Prime factorization	22 × 3 (highly composite)
Step size	126.303 ¢
Octave	10\12ed12/5 (1263.03 ¢) (→ 5\6ed12/5)
Twelfth	15\12ed12/5 (1894.55 ¢) (→ 5\4ed12/5)
Consistency limit	2
Distinct consistency limit	2

Temperaments

12ed12/5 supports the "macro-meantone" temperament which tempers out 15625/15552 in the 12/5.3.4 subgroup. By a weird coincidence, the 12/5, 5/3, and 4/3 in this temperament are very close to stretched 2/1, 3/2, and 5/4, so the ETs supported by macro-meantone and even the MOS scales, are mostly the same as meantone, but with everything now being stretched so that 2/1 becomes 12/5.