| Prime factorization
|
22 × 3
|
| Step size
|
58.4963¢
|
| Octave
|
21\12edf (1228.42¢) (→7\4edf)
|
| Twelfth
|
33\12edf (1930.38¢) (→11\4edf)
|
| Consistency limit
|
2
|
| Distinct consistency limit
|
2
|
| Special properties
|
|
12EDF is the equal division of the just perfect fifth into 12 parts of 58.49625 cents each, corresponding to 20.5141 edo (similar to every second step of 41edo). It is an intersection of 3edf~5edo and 4edf~7edo relations, and could pass as both 20edo and 21edo, with both relations nearly breaking down by this point. It is related to the dodecacot temperament, which tempers out 3087/3125 and 10976/10935 in the 7-limit.
Intervals
| degree
|
cents value
|
corresponding
JI intervals
|
comments
|
| 0
|
exact 1/1
|
|
| 1
|
58.49625
|
28/27, 91/88, 88/85
|
|
| 2
|
116.9925
|
15/14
|
|
| 3
|
175.48875
|
10/9, 21/19
|
|
| 4
|
233.9850
|
8/7
|
|
| 5
|
292.48125
|
45/38
|
|
| 6
|
350.9775
|
11/9, 27/22
|
|
| 7
|
409.47375
|
19/15, 63/50
|
|
| 8
|
467.9700
|
21/16
|
|
| 9
|
526.46625
|
19/14
|
|
| 10
|
584.9625
|
7/5
|
|
| 11
|
643.4588
|
13/9
|
|
| 12
|
701.9550
|
exact 3/2
|
just perfect fifth
|
| 13
|
760.45125
|
273/176, 132/85
|
|
| 14
|
818.9475
|
8/5
|
|
| 15
|
877.44375
|
63/38
|
|
| 16
|
935.94
|
12/7
|
|
| 17
|
994.43625
|
135/76
|
|
| 18
|
1052.9325
|
11/6, 81/44
|
|
| 19
|
1111.42875
|
19/10
|
|
| 20
|
1169.925
|
63/32
|
|
| 21
|
1228.42125
|
57/28
|
|
| 22
|
1286.9175
|
21/10
|
|
| 23
|
1345.41375
|
13/6
|
|
| 24
|
1403.91
|
exact 9/4
|
|