| Prime factorization
|
47 (prime)
|
| Step size
|
14.9352 ¢
|
| Octave
|
80\47edf (1194.82 ¢)
|
| Twelfth
|
127\47edf (1896.77 ¢)
|
| Consistency limit
|
3
|
| Distinct consistency limit
|
3
|
47 equal divisions of the perfect fifth (abbreviated 47edf or 47ed3/2) is a nonoctave tuning system that divides the interval of 3/2 into 47 equal parts of about 14.9 ¢ each. Each step represents a frequency ratio of (3/2)1/47, or the 47th root of 3/2.
Intervals
| Steps
|
Cents
|
Approximate ratios
|
| 0
|
0
|
1/1
|
| 1
|
14.9
|
|
| 2
|
29.9
|
|
| 3
|
44.8
|
|
| 4
|
59.7
|
27/26, 29/28, 30/29, 31/30
|
| 5
|
74.7
|
22/21, 23/22
|
| 6
|
89.6
|
20/19, 21/20
|
| 7
|
104.5
|
|
| 8
|
119.5
|
15/14, 31/29
|
| 9
|
134.4
|
|
| 10
|
149.4
|
|
| 11
|
164.3
|
11/10
|
| 12
|
179.2
|
21/19, 31/28
|
| 13
|
194.2
|
19/17, 29/26
|
| 14
|
209.1
|
9/8, 26/23
|
| 15
|
224
|
|
| 16
|
239
|
23/20
|
| 17
|
253.9
|
22/19
|
| 18
|
268.8
|
|
| 19
|
283.8
|
13/11, 20/17
|
| 20
|
298.7
|
|
| 21
|
313.6
|
|
| 22
|
328.6
|
23/19
|
| 23
|
343.5
|
28/23
|
| 24
|
358.4
|
|
| 25
|
373.4
|
|
| 26
|
388.3
|
|
| 27
|
403.3
|
19/15, 29/23
|
| 28
|
418.2
|
14/11
|
| 29
|
433.1
|
|
| 30
|
448.1
|
22/17
|
| 31
|
463
|
17/13, 30/23
|
| 32
|
477.9
|
29/22
|
| 33
|
492.9
|
4/3
|
| 34
|
507.8
|
|
| 35
|
522.7
|
19/14, 23/17, 31/23
|
| 36
|
537.7
|
15/11, 26/19
|
| 37
|
552.6
|
|
| 38
|
567.5
|
|
| 39
|
582.5
|
7/5
|
| 40
|
597.4
|
31/22
|
| 41
|
612.3
|
10/7
|
| 42
|
627.3
|
|
| 43
|
642.2
|
13/9, 29/20
|
| 44
|
657.1
|
19/13, 22/15
|
| 45
|
672.1
|
28/19, 31/21
|
| 46
|
687
|
|
| 47
|
702
|
3/2
|