| Prime factorization
|
23 × 5
|
| Step size
|
36.6718 ¢
|
| Octave
|
33\40ed7/3 (1210.17 ¢)
|
| Twelfth
|
52\40ed7/3 (1906.93 ¢) (→ 13\10ed7/3)
|
| Consistency limit
|
3
|
| Distinct consistency limit
|
3
|
40 equal divisions of 7/3 (abbreviated 40ed7/3) is a nonoctave tuning system that divides the interval of 7/3 into 40 equal parts of about 36.7 ¢ each. Each step represents a frequency ratio of (7/3)1/40, or the 40th root of 7/3.
Intervals
| Steps
|
Cents
|
Approximate ratios
|
Note names (7\229)
|
| 0
|
0
|
1/1
|
C
|
| 1
|
36.7
|
|
10vDb
|
| 2
|
73.3
|
22/21, 23/22, 26/25
|
3vDb
|
| 3
|
110
|
|
vC#
|
| 4
|
146.7
|
25/23
|
6^C#
|
| 5
|
183.4
|
10/9, 29/26
|
4vD
|
| 6
|
220
|
17/15, 25/22
|
3^D
|
| 7
|
256.7
|
22/19, 29/25
|
7vEb
|
| 8
|
293.4
|
13/11
|
Eb
|
| 9
|
330
|
17/14, 23/19
|
^^D#
|
| 10
|
366.7
|
21/17, 26/21
|
8vE
|
| 11
|
403.4
|
19/15, 29/23
|
vE
|
| 12
|
440.1
|
9/7, 22/17
|
6^E
|
| 13
|
476.7
|
25/19, 29/22
|
4vF
|
| 14
|
513.4
|
27/20
|
3^F
|
| 15
|
550.1
|
26/19
|
vFt
|
| 16
|
586.7
|
7/5
|
Gb
|
| 17
|
623.4
|
10/7
|
^^F#
|
| 18
|
660.1
|
19/13, 22/15
|
8vG
|
| 19
|
696.8
|
3/2
|
vG
|
| 20
|
733.4
|
23/15, 26/17, 29/19
|
6^G
|
| 21
|
770.1
|
14/9
|
4vAb
|
| 22
|
806.8
|
27/17
|
vvG#
|
| 23
|
843.5
|
|
5^G#
|
| 24
|
880.1
|
5/3
|
5vA
|
| 25
|
916.8
|
17/10, 22/13
|
^^A
|
| 26
|
953.5
|
26/15
|
8vBb
|
| 27
|
990.1
|
23/13, 30/17
|
vBb
|
| 28
|
1026.8
|
|
^A#
|
| 29
|
1063.5
|
|
^^Bd
|
| 30
|
1100.2
|
17/9
|
vvB
|
| 31
|
1136.8
|
25/13, 27/14, 29/15
|
5^B
|
| 32
|
1173.5
|
|
5vC
|
| 33
|
1210.2
|
|
^^C
|
| 34
|
1246.8
|
|
vvCt
|
| 35
|
1283.5
|
21/10, 23/11
|
vDb
|
| 36
|
1320.2
|
15/7
|
^C#
|
| 37
|
1356.9
|
|
^^Dd
|
| 38
|
1393.5
|
29/13
|
vvD
|
| 39
|
1430.2
|
|
Ebb
|
| 40
|
1466.9
|
7/3
|
5vEb
|