| Prime factorization
|
3 × 7
|
| Step size
|
369.11 ¢
|
| Octave
|
3\21ed88 (1107.33 ¢) (→ 1\7ed88)
|
| Twelfth
|
5\21ed88 (1845.55 ¢)
(semiconvergent)
|
| Consistency limit
|
3
|
| Distinct consistency limit
|
3
|
21 equal divisions of the 88th harmonic (abbreviated 21ed88) is a nonoctave tuning system that divides the interval of 88/1 into 21 equal parts of about 369 ¢ each. Each step represents a frequency ratio of 881/21, or the 21st root of 88.
Intervals
| Steps
|
Cents
|
Approximate ratios
|
| 0
|
0
|
1/1
|
| 1
|
369.1
|
21/17
|
| 2
|
738.2
|
20/13, 23/15
|
| 3
|
1107.3
|
17/9, 19/10, 21/11
|
| 4
|
1476.4
|
7/3
|
| 5
|
1845.6
|
|
| 6
|
2214.7
|
|
| 7
|
2583.8
|
|
| 8
|
2952.9
|
11/2
|
| 9
|
3322
|
|
| 10
|
3691.1
|
17/2
|
| 11
|
4060.2
|
21/2
|
| 12
|
4429.3
|
|
| 13
|
4798.4
|
|
| 14
|
5167.5
|
|
| 15
|
5536.7
|
|
| 16
|
5905.8
|
|
| 17
|
6274.9
|
|
| 18
|
6644
|
|
| 19
|
7013.1
|
|
| 20
|
7382.2
|
|
| 21
|
7751.3
|
|