| Prime factorization
|
2 × 17
|
| Step size
|
35.2941 ¢
|
| Fifth
|
20\34 (705.882 ¢) (→ 10\17)
|
| Semitones (A1:m2)
|
4:2 (141.2 ¢ : 70.59 ¢)
|
| Consistency limit
|
5
|
| Distinct consistency limit
|
5
|
34 equal divisions of the octave (abbreviated 34edo or 34ed2), also called 34-tone equal temperament (34tet) or 34 equal temperament (34et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 34 equal parts of about 35.3 ¢ each. Each step represents a frequency ratio of 21/34, or the 34th root of 2.
Intervals
| Steps
|
Cents
|
Approximate ratios
|
Ups and downs notation
|
| 0
|
0
|
1/1
|
D
|
| 1
|
35.3
|
|
^D, vE♭
|
| 2
|
70.6
|
23/22, 24/23, 25/24, 26/25, 27/26
|
^^D, E♭
|
| 3
|
105.9
|
16/15, 17/16, 18/17
|
vD♯, ^E♭
|
| 4
|
141.2
|
13/12, 25/23, 27/25
|
D♯, vvE
|
| 5
|
176.5
|
10/9, 21/19
|
^D♯, vE
|
| 6
|
211.8
|
9/8, 17/15, 26/23
|
E
|
| 7
|
247.1
|
15/13, 23/20
|
^E, vF
|
| 8
|
282.4
|
13/11, 20/17, 27/23
|
F
|
| 9
|
317.6
|
6/5
|
^F, vG♭
|
| 10
|
352.9
|
11/9, 16/13, 27/22
|
^^F, G♭
|
| 11
|
388.2
|
5/4
|
vF♯, ^G♭
|
| 12
|
423.5
|
23/18
|
F♯, vvG
|
| 13
|
458.8
|
13/10, 17/13
|
^F♯, vG
|
| 14
|
494.1
|
4/3
|
G
|
| 15
|
529.4
|
15/11, 19/14, 23/17
|
^G, vA♭
|
| 16
|
564.7
|
18/13, 25/18
|
^^G, A♭
|
| 17
|
600
|
17/12, 24/17
|
vG♯, ^A♭
|
| 18
|
635.3
|
13/9, 23/16
|
G♯, vvA
|
| 19
|
670.6
|
22/15, 25/17, 28/19
|
^G♯, vA
|
| 20
|
705.9
|
3/2
|
A
|
| 21
|
741.2
|
20/13, 23/15, 26/17
|
^A, vB♭
|
| 22
|
776.5
|
25/16
|
^^A, B♭
|
| 23
|
811.8
|
8/5
|
vA♯, ^B♭
|
| 24
|
847.1
|
13/8, 18/11
|
A♯, vvB
|
| 25
|
882.4
|
5/3
|
^A♯, vB
|
| 26
|
917.6
|
17/10, 22/13
|
B
|
| 27
|
952.9
|
26/15
|
^B, vC
|
| 28
|
988.2
|
16/9, 23/13
|
C
|
| 29
|
1023.5
|
9/5
|
^C, vD♭
|
| 30
|
1058.8
|
24/13
|
^^C, D♭
|
| 31
|
1094.1
|
15/8, 17/9
|
vC♯, ^D♭
|
| 32
|
1129.4
|
23/12, 25/13
|
C♯, vvD
|
| 33
|
1164.7
|
|
^C♯, vD
|
| 34
|
1200
|
2/1
|
D
|