| Prime factorization
|
26
|
| Step size
|
121.114 ¢
|
| Octave
|
10\64ed88 (1211.14 ¢) (→ 5\32ed88)
|
| Twelfth
|
16\64ed88 (1937.83 ¢) (→ 1\4ed88)
|
| Consistency limit
|
8
|
| Distinct consistency limit
|
5
|
64 equal divisions of the 88th harmonic (abbreviated 64ed88) is a nonoctave tuning system that divides the interval of 88/1 into 64 equal parts of about 121 ¢ each. Each step represents a frequency ratio of 881/64, or the 64th root of 88.
Intervals
| Steps
|
Cents
|
Approximate ratios
|
| 0
|
0
|
1/1
|
| 1
|
121.1
|
15/14
|
| 2
|
242.2
|
23/20
|
| 3
|
363.3
|
16/13
|
| 4
|
484.5
|
33/25
|
| 5
|
605.6
|
|
| 6
|
726.7
|
32/21, 35/23
|
| 7
|
847.8
|
31/19
|
| 8
|
968.9
|
7/4
|
| 9
|
1090
|
15/8
|
| 10
|
1211.1
|
|
| 11
|
1332.3
|
28/13
|
| 12
|
1453.4
|
|
| 13
|
1574.5
|
|
| 14
|
1695.6
|
8/3
|
| 15
|
1816.7
|
20/7
|
| 16
|
1937.8
|
|
| 17
|
2058.9
|
23/7
|
| 18
|
2180.1
|
|
| 19
|
2301.2
|
|
| 20
|
2422.3
|
|
| 21
|
2543.4
|
|
| 22
|
2664.5
|
14/3
|
| 23
|
2785.6
|
5/1
|
| 24
|
2906.7
|
|
| 25
|
3027.9
|
23/4
|
| 26
|
3149
|
|
| 27
|
3270.1
|
33/5
|
| 28
|
3391.2
|
|
| 29
|
3512.3
|
|
| 30
|
3633.4
|
|
| 31
|
3754.5
|
35/4
|
| 32
|
3875.7
|
|
| 33
|
3996.8
|
|
| 34
|
4117.9
|
|
| 35
|
4239
|
|
| 36
|
4360.1
|
|
| 37
|
4481.2
|
|
| 38
|
4602.3
|
|
| 39
|
4723.5
|
|
| 40
|
4844.6
|
|
| 41
|
4965.7
|
|
| 42
|
5086.8
|
|
| 43
|
5207.9
|
|
| 44
|
5329
|
|
| 45
|
5450.1
|
|
| 46
|
5571.3
|
|
| 47
|
5692.4
|
|
| 48
|
5813.5
|
|
| 49
|
5934.6
|
|
| 50
|
6055.7
|
|
| 51
|
6176.8
|
|
| 52
|
6297.9
|
|
| 53
|
6419.1
|
|
| 54
|
6540.2
|
|
| 55
|
6661.3
|
|
| 56
|
6782.4
|
|
| 57
|
6903.5
|
|
| 58
|
7024.6
|
|
| 59
|
7145.7
|
|
| 60
|
7266.9
|
|
| 61
|
7388
|
|
| 62
|
7509.1
|
|
| 63
|
7630.2
|
|
| 64
|
7751.3
|
|