| Prime factorization
|
5 × 7
|
| Step size
|
54.3416¢
|
| Octave
|
22\35edt (1195.51¢)
|
| Consistency limit
|
11
|
| Distinct consistency limit
|
7
|
Division of the third harmonic into 35 equal parts (35edt) is related to 22 edo, but with the 3/1 rather than the 2/1 being just. The octave is about 4.4854 cents compressed and the step size is about 54.3416 cents. It is consistent to the 12-integer-limit.
| degree
|
cents value
|
hekts
|
corresponding
JI intervals
|
comments
|
| 0
|
exact 1/1
|
|
| 1
|
54.3416
|
37.1429
|
33/32, 32/31
|
|
| 2
|
108.6831
|
74.2857
|
33/31
|
|
| 3
|
163.0247
|
111.4286
|
11/10
|
|
| 4
|
217.3663
|
148.5714
|
17/15
|
|
| 5
|
271.7079
|
185.7143
|
7/6
|
|
| 6
|
326.0494
|
222.8571
|
|
pseudo-6/5
|
| 7
|
380.391
|
260
|
81/65
|
pseudo-5/4
|
| 8
|
434.7326
|
297.1429
|
9/7
|
|
| 9
|
489.0741
|
334.2857
|
69/52
|
|
| 10
|
543.4157
|
371.4286
|
26/19
|
|
| 11
|
597.7573
|
408.5714
|
24/17
|
|
| 12
|
652.0989
|
445.7143
|
35/24
|
|
| 13
|
706.4404
|
482.8571
|
|
pseudo-3/2
|
| 14
|
760.782
|
520
|
45/29
|
|
| 15
|
815.1236
|
557.1429
|
8/5
|
|
| 16
|
869.4651
|
594.2857
|
38/23, 81/49
|
|
| 17
|
923.8067
|
631.4286
|
46/27
|
|
| 18
|
978.1483
|
668.5714
|
81/46
|
|
| 19
|
1032.4899
|
705.7143
|
49/27, 69/38
|
|
| 20
|
1086.8314
|
742.8571
|
15/8
|
|
| 21
|
1141.173
|
780
|
29/15
|
|
| 22
|
1195.5146
|
817.1429
|
|
pseudo-octave
|
| 23
|
1249.8561
|
854.2857
|
72/35
|
|
| 24
|
1304.1977
|
891.4286
|
17/8
|
|
| 25
|
1358.5393
|
928.5714
|
57/26
|
|
| 26
|
1412.8809
|
965.7143
|
52/23
|
|
| 27
|
1467.2224
|
1002.8571
|
7/3
|
|
| 28
|
1521.564
|
1040
|
65/27
|
pseudo-12/5
|
| 29
|
1575.9056
|
1077.1429
|
|
pseudo-5/2
|
| 30
|
1630.2471
|
1114.2857
|
18/7
|
|
| 31
|
1684.5887
|
1151.4286
|
45/17
|
|
| 32
|
1738.9303
|
1188.5714
|
03/11
|
|
| 33
|
1793.2719
|
1225.7143
|
31/11
|
|
| 34
|
1847.6134
|
1262.8571
|
32/11, 93/32
|
|
| 35
|
1901.955
|
1300
|
exact 3/1
|
just perfect fifth plus an octave
|