Prime factorization

2^{2} × 3

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

Special properties


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. It is very closely approximated by every second step of 19edo.
Temperaments
12ed12/5 supports the "macromeantone" temperament which tempers out 15625/15552 in the 12/5.3.4 subgroup. By a weird coincidence, this temperament is very close to a version of meantone with all intervals stretched by about 26%, such that 2/1 becomes approximately 12/5, 3/2 becomes approximately 5/3, and 5/4 becomes approximately 4/3. The ~4:5:6 chord becomes stretched to the point where it is a ~3:4:5 chord. Even MOS patterns are similar to meantone.
Intervals
Degrees

Cents

"Macrodiatonic" (5L 2s<12/5>) notation

Approximate ratios

0

0.00

C

1/1

1

126.303

C#, Db

27/25

2

252.607

D

125/108

3

378.910

D#, Eb

5/4

4

505.214

E

4/3

5

631.517

F

36/25

6

757.821

F#, Gb

25/16, 125/81, 192/125

7

884.124

G

5/3

8

1010.428

G#, Ab

9/5

9

1136.731

A

48/25

10

1263.034

A#, Bb

25/12

11

1398.338

B

20/9

12

1515.641

C

12/5
