| Prime factorization
|
25
|
| Step size
|
235.004 ¢
|
| Octave
|
5\32ed77 (1175.02 ¢)
|
| Twelfth
|
8\32ed77 (1880.04 ¢) (→ 1\4ed77)
|
| Consistency limit
|
10
|
| Distinct consistency limit
|
4
|
32 equal divisions of the 77th harmonic (abbreviated 32ed77) is a nonoctave tuning system that divides the interval of 77/1 into 32 equal parts of about 235 ¢ each. Each step represents a frequency ratio of 771/32, or the 32nd root of 77.
Intervals
| Steps
|
Cents
|
Approximate ratios
|
Note names (9\46)
|
| 0
|
0
|
1/1
|
C
|
| 1
|
235
|
8/7, 23/20
|
^D
|
| 2
|
470
|
17/13, 21/16, 25/19
|
vF
|
| 3
|
705
|
3/2
|
G
|
| 4
|
940
|
12/7, 19/11
|
^A
|
| 5
|
1175
|
|
vC
|
| 6
|
1410
|
9/4
|
D
|
| 7
|
1645
|
13/5
|
…
|
| 8
|
1880
|
|
| 9
|
2115
|
17/5, 27/8
|
| 10
|
2350
|
|
| 11
|
2585
|
|
| 12
|
2820.1
|
|
| 13
|
3055.1
|
|
| 14
|
3290.1
|
20/3
|
| 15
|
3525.1
|
23/3
|
| 16
|
3760.1
|
|
| 17
|
3995.1
|
10/1
|
| 18
|
4230.1
|
23/2
|
| 19
|
4465.1
|
|
| 20
|
4700.1
|
|
| 21
|
4935.1
|
|
| 22
|
5170.1
|
|
| 23
|
5405.1
|
|
| 24
|
5640.1
|
|
| 25
|
5875.1
|
|
| 26
|
6110.1
|
|
| 27
|
6345.1
|
|
| 28
|
6580.1
|
|
| 29
|
6815.1
|
|
| 30
|
7050.1
|
|
| 31
|
7285.1
|
|
| 32
|
7520.1
|
|