| Prime factorization
|
24
|
| Step size
|
43.8722 ¢
|
| Octave
|
27\16edf (1184.55 ¢)
|
| Twelfth
|
43\16edf (1886.5 ¢)
|
| Consistency limit
|
3
|
| Distinct consistency limit
|
3
|
16 equal divisions of the perfect fifth (abbreviated 16edf or 16ed3/2) is a nonoctave tuning system that divides the interval of 3/2 into 16 equal parts of about 43.9 ¢ each. Each step represents a frequency ratio of (3/2)1/16, or the 16th root of 3/2.
Intervals
| Steps
|
Cents
|
Approximate ratios
|
Note names (3\82)
|
| 0
|
0
|
1/1
|
C
|
| 1
|
43.9
|
|
vCt
|
| 2
|
87.7
|
20/19, 21/20, 22/21
|
Db
|
| 3
|
131.6
|
14/13
|
^C#
|
| 4
|
175.5
|
21/19
|
vvD
|
| 5
|
219.4
|
17/15
|
^D
|
| 6
|
263.2
|
|
Dt
|
| 7
|
307.1
|
|
^Eb
|
| 8
|
351
|
|
Ed
|
| 9
|
394.8
|
|
vE
|
| 10
|
438.7
|
22/17
|
^^E
|
| 11
|
482.6
|
|
vF
|
| 12
|
526.5
|
19/14, 23/17
|
^^F
|
| 13
|
570.3
|
|
vGb
|
| 14
|
614.2
|
10/7
|
F#
|
| 15
|
658.1
|
19/13, 22/15
|
vF#t
|
| 16
|
702
|
3/2
|
G
|
| 17
|
745.8
|
17/11, 20/13, 23/15
|
vGt
|
| 18
|
789.7
|
11/7
|
Ab
|
| 19
|
833.6
|
21/13
|
^G#
|
| 20
|
877.4
|
|
vvA
|
| 21
|
921.3
|
17/10
|
^A
|
| 22
|
965.2
|
|
At
|
| 23
|
1009.1
|
|
^Bb
|
| 24
|
1052.9
|
|
^^A#
|
| 25
|
1096.8
|
|
vB
|
| 26
|
1140.7
|
|
^^B
|
| 27
|
1184.5
|
|
vC
|
| 28
|
1228.4
|
|
^^C
|
| 29
|
1272.3
|
23/11
|
vDb
|
| 30
|
1316.2
|
15/7
|
C#
|
| 31
|
1360
|
11/5
|
^C#t
|
| 32
|
1403.9
|
9/4
|
D
|