| Prime factorization
|
2 × 13
|
| Step size
|
73.1521 ¢
|
| Octave
|
16\26edt (1170.43 ¢) (→ 8\13edt)
|
| Consistency limit
|
3
|
| Distinct consistency limit
|
3
|
26 equal divisions of the tritave, perfect twelfth, or 3rd harmonic (abbreviated 26edt or 26ed3), is a nonoctave tuning system that divides the interval of 3/1 into 26 equal parts of about 73.2 ¢ each. Each step represents a frequency ratio of 31/26, or the 26th root of 3.
Intervals
| Steps
|
Cents
|
Hekts
|
Approximate ratios
|
Note names (5\82)
|
| 0
|
0
|
0
|
1/1
|
C
|
| 1
|
73.2
|
50
|
22/21, 23/22, 26/25
|
vDb
|
| 2
|
146.3
|
100
|
23/21, 25/23
|
^^C#
|
| 3
|
219.5
|
150
|
17/15, 25/22, 26/23
|
^D
|
| 4
|
292.6
|
200
|
13/11, 25/21
|
Eb
|
| 5
|
365.8
|
250
|
21/17, 26/21
|
^D#t
|
| 6
|
438.9
|
300
|
9/7, 22/17
|
^^E
|
| 7
|
512.1
|
350
|
23/17
|
^F
|
| 8
|
585.2
|
400
|
7/5
|
Gb
|
| 9
|
658.4
|
450
|
19/13, 22/15, 25/17
|
^F#t
|
| 10
|
731.5
|
500
|
23/15, 26/17
|
^^G
|
| 11
|
804.7
|
550
|
|
^Ab
|
| 12
|
877.8
|
600
|
5/3
|
G#t
|
| 13
|
951
|
650
|
19/11, 26/15
|
vAt
|
| 14
|
1024.1
|
700
|
9/5
|
A#
|
| 15
|
1097.3
|
750
|
17/9
|
vB
|
| 16
|
1170.4
|
800
|
|
vvC
|
| 17
|
1243.6
|
850
|
|
vCt
|
| 18
|
1316.7
|
900
|
15/7
|
C#
|
| 19
|
1389.9
|
950
|
|
vD
|
| 20
|
1463
|
1000
|
7/3
|
Dt
|
| 21
|
1536.2
|
1050
|
17/7, 22/9
|
^D#
|
| 22
|
1609.3
|
1100
|
|
E
|
| 23
|
1682.5
|
1150
|
|
vF
|
| 24
|
1755.7
|
1200
|
|
Ft
|
| 25
|
1828.8
|
1250
|
26/9
|
^F#
|
| 26
|
1902
|
1300
|
3/1
|
G
|