| Prime factorization
|
22 × 32
|
| Step size
|
119.499 ¢
|
| Octave
|
10\36ed12 (1194.99 ¢) (→ 5\18ed12)
|
| Twelfth
|
16\36ed12 (1911.98 ¢) (→ 4\9ed12)
|
| Consistency limit
|
9
|
| Distinct consistency limit
|
5
|
| Special properties
|
|
36 equal divisions of the 12th harmonic (abbreviated 36ed12) is a nonoctave tuning system that divides the interval of 12/1 into 36 equal parts of about 119 ¢ each. Each step represents a frequency ratio of 121/36, or the 36th root of 12.
Interval table
| Steps
|
Cents
|
Approximate ratios
|
| 0
|
0
|
1/1
|
| 1
|
119.5
|
15/14, 16/15, 29/27
|
| 2
|
239
|
8/7, 23/20
|
| 3
|
358.5
|
16/13, 21/17, 27/22
|
| 4
|
478
|
21/16, 29/22
|
| 5
|
597.5
|
17/12, 24/17
|
| 6
|
717
|
|
| 7
|
836.5
|
13/8, 21/13
|
| 8
|
956
|
26/15
|
| 9
|
1075.5
|
13/7, 28/15
|
| 10
|
1195
|
2/1
|
| 11
|
1314.5
|
15/7
|
| 12
|
1434
|
16/7, 23/10
|
| 13
|
1553.5
|
22/9, 27/11
|
| 14
|
1673
|
21/8, 29/11
|
| 15
|
1792.5
|
|
| 16
|
1912
|
|
| 17
|
2031.5
|
29/9
|
| 18
|
2151
|
|
| 19
|
2270.5
|
26/7
|
| 20
|
2390
|
|
| 21
|
2509.5
|
17/4
|
| 22
|
2629
|
|
| 23
|
2748.5
|
|
| 24
|
2868
|
21/4
|
| 25
|
2987.5
|
28/5
|
| 26
|
3107
|
6/1
|
| 27
|
3226.5
|
|
| 28
|
3346
|
|
| 29
|
3465.5
|
|
| 30
|
3585
|
|
| 31
|
3704.5
|
17/2
|
| 32
|
3824
|
|
| 33
|
3943.5
|
|
| 34
|
4063
|
21/2
|
| 35
|
4182.5
|
|
| 36
|
4302
|
12/1
|