| Prime factorization
|
22 × 32 (highly composite)
|
| Step size
|
47.1679 ¢
|
| Octave
|
25\36ed8/3 (1179.2 ¢)
|
| Twelfth
|
40\36ed8/3 (1886.72 ¢) (→ 10\9ed8/3)
|
| Consistency limit
|
3
|
| Distinct consistency limit
|
3
|
36 equal divisions of 8/3 (abbreviated 36ed8/3) is a nonoctave tuning system that divides the interval of 8/3 into 36 equal parts of about 47.2 ¢ each. Each step represents a frequency ratio of (8/3)1/36, or the 36th root of 8/3.
Intervals
| Steps
|
Cents
|
Approximate ratios
|
Note names (7\178)
|
| 0
|
0
|
1/1
|
C
|
| 1
|
47.2
|
|
vCt
|
| 2
|
94.3
|
|
Db
|
| 3
|
141.5
|
25/23
|
^Dd
|
| 4
|
188.7
|
10/9, 19/17
|
vvD
|
| 5
|
235.8
|
|
vvvDt
|
| 6
|
283
|
13/11
|
vvEb
|
| 7
|
330.2
|
23/19
|
^^^D#
|
| 8
|
377.3
|
26/21
|
vvvvE
|
| 9
|
424.5
|
|
^^^E
|
| 10
|
471.7
|
17/13, 25/19
|
vvvvF
|
| 11
|
518.8
|
23/17, 27/20
|
^^^F
|
| 12
|
566
|
|
^^Ft
|
| 13
|
613.2
|
10/7
|
^F#
|
| 14
|
660.4
|
19/13, 22/15, 25/17
|
^^Gd
|
| 15
|
707.5
|
3/2
|
^G
|
| 16
|
754.7
|
17/11
|
Gt
|
| 17
|
801.9
|
|
^Ab
|
| 18
|
849
|
|
Ad
|
| 19
|
896.2
|
|
vA
|
| 20
|
943.4
|
19/11
|
vvAt
|
| 21
|
990.5
|
23/13
|
vBb
|
| 22
|
1037.7
|
|
vvBd
|
| 23
|
1084.9
|
|
vvvB
|
| 24
|
1132
|
25/13, 27/14
|
^^^^B
|
| 25
|
1179.2
|
|
vvvC
|
| 26
|
1226.4
|
|
^^^^C
|
| 27
|
1273.5
|
23/11
|
vvvDb
|
| 28
|
1320.7
|
15/7
|
^^C#
|
| 29
|
1367.9
|
11/5
|
^^^Dd
|
| 30
|
1415
|
25/11
|
^^D
|
| 31
|
1462.2
|
7/3
|
^Dt
|
| 32
|
1509.4
|
|
D#
|
| 33
|
1556.5
|
|
^Ed
|
| 34
|
1603.7
|
|
E
|
| 35
|
1650.9
|
13/5
|
vEt
|
| 36
|
1698
|
|
F
|