| Prime factorization
|
22 × 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 "macro-meantone" 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
|