| Prime factorization
|
22 × 32 (highly composite)
|
| Step size
|
215.314 ¢
|
| Octave
|
6\36ed88 (1291.89 ¢) (→ 1\6ed88)
|
| Twelfth
|
9\36ed88 (1937.83 ¢) (→ 1\4ed88)
|
| Consistency limit
|
3
|
| Distinct consistency limit
|
3
|
36 equal divisions of the 88th harmonic (abbreviated 36ed88) is a nonoctave tuning system that divides the interval of 88/1 into 36 equal parts of about 215 ¢ each. Each step represents a frequency ratio of 881/36, or the 36th root of 88.
Intervals
| Steps
|
Cents
|
Approximate ratios
|
| 0
|
0
|
1/1
|
| 1
|
215.3
|
17/15, 25/22
|
| 2
|
430.6
|
9/7
|
| 3
|
645.9
|
|
| 4
|
861.3
|
|
| 5
|
1076.6
|
13/7
|
| 6
|
1291.9
|
19/9, 21/10
|
| 7
|
1507.2
|
|
| 8
|
1722.5
|
19/7, 27/10
|
| 9
|
1937.8
|
|
| 10
|
2153.1
|
|
| 11
|
2368.5
|
|
| 12
|
2583.8
|
|
| 13
|
2799.1
|
|
| 14
|
3014.4
|
|
| 15
|
3229.7
|
|
| 16
|
3445
|
22/3
|
| 17
|
3660.3
|
|
| 18
|
3875.7
|
|
| 19
|
4091
|
|
| 20
|
4306.3
|
|
| 21
|
4521.6
|
|
| 22
|
4736.9
|
|
| 23
|
4952.2
|
|
| 24
|
5167.5
|
|
| 25
|
5382.9
|
|
| 26
|
5598.2
|
|
| 27
|
5813.5
|
|
| 28
|
6028.8
|
|
| 29
|
6244.1
|
|
| 30
|
6459.4
|
|
| 31
|
6674.7
|
|
| 32
|
6890.1
|
|
| 33
|
7105.4
|
|
| 34
|
7320.7
|
|
| 35
|
7536
|
|
| 36
|
7751.3
|
|