| Prime factorization
|
47 (prime)
|
| Step size
|
80.9343 ¢
|
| Octave
|
15\47ed9 (1214.01 ¢)
|
| Twelfth
|
24\47ed9 (1942.42 ¢)
|
| Consistency limit
|
2
|
| Distinct consistency limit
|
2
|
47 equal divisions of the 9th harmonic (abbreviated 47ed9) is a nonoctave tuning system that divides the interval of 9/1 into 47 equal parts of about 80.9 ¢ each. Each step represents a frequency ratio of 91/47, or the 47th root of 9.
Intervals
| Steps
|
Cents
|
Approximate ratios
|
Note names (6\89)
|
| 0
|
0
|
1/1
|
C
|
| 1
|
80.9
|
23/22
|
vDb
|
| 2
|
161.9
|
11/10
|
^Dd
|
| 3
|
242.8
|
15/13, 23/20
|
vDt
|
| 4
|
323.7
|
|
^D#
|
| 5
|
404.7
|
19/15, 29/23
|
E
|
| 6
|
485.6
|
|
vF
|
| 7
|
566.5
|
|
vvGb
|
| 8
|
647.5
|
29/20
|
Gd
|
| 9
|
728.4
|
29/19
|
^^G
|
| 10
|
809.3
|
|
G#
|
| 11
|
890.3
|
|
vA
|
| 12
|
971.2
|
7/4
|
vvBb
|
| 13
|
1052.1
|
|
Bd
|
| 14
|
1133.1
|
|
^^B
|
| 15
|
1214
|
|
^C
|
| 16
|
1294.9
|
|
Db
|
| 17
|
1375.9
|
|
vvD
|
| 18
|
1456.8
|
|
Dt
|
| 19
|
1537.8
|
17/7
|
^^D#
|
| 20
|
1618.7
|
|
^E
|
| 21
|
1699.6
|
8/3
|
F
|
| 22
|
1780.6
|
|
vGb
|
| 23
|
1861.5
|
|
^Gd
|
| 24
|
1942.4
|
|
vGt
|
| 25
|
2023.4
|
|
^G#
|
| 26
|
2104.3
|
|
A
|
| 27
|
2185.2
|
|
vBb
|
| 28
|
2266.2
|
26/7
|
^Bd
|
| 29
|
2347.1
|
|
vBt
|
| 30
|
2428
|
|
^^C
|
| 31
|
2509
|
17/4
|
C#
|
| 32
|
2589.9
|
|
vD
|
| 33
|
2670.8
|
14/3
|
vvEb
|
| 34
|
2751.8
|
|
Ed
|
| 35
|
2832.7
|
|
^^E
|
| 36
|
2913.6
|
|
^F
|
| 37
|
2994.6
|
|
Gb
|
| 38
|
3075.5
|
|
vvG
|
| 39
|
3156.4
|
31/5
|
Gt
|
| 40
|
3237.4
|
13/2
|
^^G#
|
| 41
|
3318.3
|
|
^A
|
| 42
|
3399.2
|
|
Bb
|
| 43
|
3480.2
|
|
vvB
|
| 44
|
3561.1
|
|
Bt
|
| 45
|
3642
|
|
vCt
|
| 46
|
3723
|
|
^C#
|
| 47
|
3803.9
|
|
D
|