| Prime factorization
|
2 × 52
|
| Step size
|
86.0391 ¢
|
| Octave
|
14\50ed12 (1204.55 ¢) (→ 7\25ed12)
|
| Twelfth
|
22\50ed12 (1892.86 ¢) (→ 11\25ed12)
|
| Consistency limit
|
7
|
| Distinct consistency limit
|
5
|
50 equal divisions of the 12th harmonic (abbreviated 50ed12) is a nonoctave tuning system that divides the interval of 12/1 into 50 equal parts of about 86 ¢ each. Each step represents a frequency ratio of 121/50, or the 50th root of 12.
Interval table
| Steps
|
Cents
|
Approximate ratios
|
| 0
|
0
|
1/1
|
| 1
|
86
|
20/19, 21/20, 22/21
|
| 2
|
172.1
|
21/19, 31/28, 32/29
|
| 3
|
258.1
|
22/19
|
| 4
|
344.2
|
11/9, 28/23
|
| 5
|
430.2
|
9/7
|
| 6
|
516.2
|
27/20, 31/23
|
| 7
|
602.3
|
17/12, 24/17
|
| 8
|
688.3
|
|
| 9
|
774.4
|
|
| 10
|
860.4
|
23/14, 28/17
|
| 11
|
946.4
|
19/11, 31/18
|
| 12
|
1032.5
|
20/11, 29/16
|
| 13
|
1118.5
|
21/11
|
| 14
|
1204.5
|
2/1
|
| 15
|
1290.6
|
19/9
|
| 16
|
1376.6
|
31/14
|
| 17
|
1462.7
|
7/3
|
| 18
|
1548.7
|
22/9
|
| 19
|
1634.7
|
18/7
|
| 20
|
1720.8
|
27/10
|
| 21
|
1806.8
|
17/6
|
| 22
|
1892.9
|
|
| 23
|
1978.9
|
22/7
|
| 24
|
2064.9
|
23/7
|
| 25
|
2151
|
|
| 26
|
2237
|
|
| 27
|
2323.1
|
23/6
|
| 28
|
2409.1
|
|
| 29
|
2495.1
|
|
| 30
|
2581.2
|
31/7
|
| 31
|
2667.2
|
14/3
|
| 32
|
2753.3
|
|
| 33
|
2839.3
|
31/6
|
| 34
|
2925.3
|
|
| 35
|
3011.4
|
|
| 36
|
3097.4
|
6/1
|
| 37
|
3183.4
|
|
| 38
|
3269.5
|
|
| 39
|
3355.5
|
|
| 40
|
3441.6
|
|
| 41
|
3527.6
|
23/3
|
| 42
|
3613.6
|
|
| 43
|
3699.7
|
17/2
|
| 44
|
3785.7
|
|
| 45
|
3871.8
|
28/3
|
| 46
|
3957.8
|
|
| 47
|
4043.8
|
31/3
|
| 48
|
4129.9
|
|
| 49
|
4215.9
|
|
| 50
|
4302
|
12/1
|