| Prime factorization
|
3 × 11
|
| Step size
|
115.27 ¢
|
| Octave
|
10\33ed9 (1152.7 ¢)
|
| Twelfth
|
17\33ed9 (1959.59 ¢)
|
| Consistency limit
|
2
|
| Distinct consistency limit
|
2
|
33 equal divisions of the 9th harmonic (abbreviated 33ed9) is a nonoctave tuning system that divides the interval of 9/1 into 33 equal parts of about 115 ¢ each. Each step represents a frequency ratio of 91/33, or the 33rd root of 9.
Intervals
| Steps
|
Cents
|
Approximate ratios
|
Note names (12\125)
|
| 0
|
0
|
1/1
|
C
|
| 1
|
115.3
|
|
^C#
|
| 2
|
230.5
|
|
^^^D
|
| 3
|
345.8
|
|
^^^^D#
|
| 4
|
461.1
|
17/13
|
vvvvF
|
| 5
|
576.4
|
7/5
|
vvvF#
|
| 6
|
691.6
|
|
vG
|
| 7
|
806.9
|
|
G#
|
| 8
|
922.2
|
|
^^A
|
| 9
|
1037.4
|
|
…
|
| 10
|
1152.7
|
|
| 11
|
1268
|
23/11, 25/12
|
| 12
|
1383.2
|
|
| 13
|
1498.5
|
|
| 14
|
1613.8
|
|
| 15
|
1729.1
|
19/7
|
| 16
|
1844.3
|
|
| 17
|
1959.6
|
|
| 18
|
2074.9
|
|
| 19
|
2190.1
|
|
| 20
|
2305.4
|
19/5
|
| 21
|
2420.7
|
|
| 22
|
2535.9
|
13/3
|
| 23
|
2651.2
|
|
| 24
|
2766.5
|
|
| 25
|
2881.8
|
|
| 26
|
2997
|
17/3
|
| 27
|
3112.3
|
|
| 28
|
3227.6
|
|
| 29
|
3342.8
|
|
| 30
|
3458.1
|
|
| 31
|
3573.4
|
|
| 32
|
3688.6
|
|
| 33
|
3803.9
|
|