| Prime factorization
|
5 × 7
|
| Step size
|
214.861 ¢
|
| Octave
|
6\35ed77 (1289.17 ¢)
|
| Twelfth
|
9\35ed77 (1933.75 ¢)
(semiconvergent)
|
| Consistency limit
|
3
|
| Distinct consistency limit
|
3
|
35 equal divisions of the 77th harmonic (abbreviated 35ed77) is a nonoctave tuning system that divides the interval of 77/1 into 35 equal parts of about 215 ¢ each. Each step represents a frequency ratio of 771/35, or the 35th root of 77.
Intervals
| Steps
|
Cents
|
Approximate ratios
|
| 0
|
0
|
1/1
|
| 1
|
214.9
|
17/15, 25/22
|
| 2
|
429.7
|
9/7
|
| 3
|
644.6
|
13/9
|
| 4
|
859.4
|
|
| 5
|
1074.3
|
13/7
|
| 6
|
1289.2
|
19/9, 21/10
|
| 7
|
1504
|
|
| 8
|
1718.9
|
27/10
|
| 9
|
1933.8
|
|
| 10
|
2148.6
|
|
| 11
|
2363.5
|
|
| 12
|
2578.3
|
|
| 13
|
2793.2
|
5/1
|
| 14
|
3008.1
|
17/3
|
| 15
|
3222.9
|
|
| 16
|
3437.8
|
|
| 17
|
3652.6
|
|
| 18
|
3867.5
|
|
| 19
|
4082.4
|
|
| 20
|
4297.2
|
|
| 21
|
4512.1
|
|
| 22
|
4726.9
|
|
| 23
|
4941.8
|
|
| 24
|
5156.7
|
|
| 25
|
5371.5
|
|
| 26
|
5586.4
|
|
| 27
|
5801.3
|
|
| 28
|
6016.1
|
|
| 29
|
6231
|
|
| 30
|
6445.8
|
|
| 31
|
6660.7
|
|
| 32
|
6875.6
|
|
| 33
|
7090.4
|
|
| 34
|
7305.3
|
|
| 35
|
7520.1
|
|