| Prime factorization
|
5 × 11
|
| Step size
|
43.6364 ¢
|
| Octave
|
28\55ed4 (1221.82 ¢)
|
| Twelfth
|
44\55ed4 (1920 ¢) (→ 4\5ed4)
|
| Consistency limit
|
1
|
| Distinct consistency limit
|
1
|
55 equal divisions of the 4th harmonic (abbreviated 55ed4) is a nonoctave tuning system that divides the interval of 4/1 into 55 equal parts of about 43.6 ¢ each. Each step represents a frequency ratio of 41/55, or the 55th root of 4.
Intervals
| Steps
|
Cents
|
Approximate ratios
|
Note names (2\55)
|
| 0
|
0
|
1/1
|
C
|
| 1
|
43.6
|
|
Ct
|
| 2
|
87.3
|
|
C#
|
| 3
|
130.9
|
14/13
|
^Db
|
| 4
|
174.5
|
21/19
|
vD
|
| 5
|
218.2
|
25/22
|
^D
|
| 6
|
261.8
|
29/25
|
vD#
|
| 7
|
305.5
|
25/21
|
Eb
|
| 8
|
349.1
|
|
Ed
|
| 9
|
392.7
|
|
E
|
| 10
|
436.4
|
|
Et
|
| 11
|
480
|
25/19, 29/22, 33/25
|
vF
|
| 12
|
523.6
|
23/17, 27/20
|
^F
|
| 13
|
567.3
|
|
vF#
|
| 14
|
610.9
|
|
Gb
|
| 15
|
654.5
|
19/13
|
Gd
|
| 16
|
698.2
|
3/2
|
G
|
| 17
|
741.8
|
|
Gt
|
| 18
|
785.5
|
11/7
|
G#
|
| 19
|
829.1
|
21/13
|
^Ab
|
| 20
|
872.7
|
|
vA
|
| 21
|
916.4
|
|
^A
|
| 22
|
960
|
33/19
|
vA#
|
| 23
|
1003.6
|
25/14
|
Bb
|
| 24
|
1047.3
|
|
Bd
|
| 25
|
1090.9
|
|
B
|
| 26
|
1134.5
|
25/13
|
Bt
|
| 27
|
1178.2
|
|
vC
|
| 28
|
1221.8
|
|
^C
|
| 29
|
1265.5
|
29/14
|
vC#
|
| 30
|
1309.1
|
|
Db
|
| 31
|
1352.7
|
|
Dd
|
| 32
|
1396.4
|
|
D
|
| 33
|
1440
|
|
Dt
|
| 34
|
1483.6
|
33/14
|
D#
|
| 35
|
1527.3
|
|
vE
|
| 36
|
1570.9
|
|
^E
|
| 37
|
1614.5
|
33/13
|
Fd
|
| 38
|
1658.2
|
13/5
|
F
|
| 39
|
1701.8
|
|
Ft
|
| 40
|
1745.5
|
|
F#
|
| 41
|
1789.1
|
31/11
|
^Gb
|
| 42
|
1832.7
|
26/9
|
vG
|
| 43
|
1876.4
|
|
^G
|
| 44
|
1920
|
|
vG#
|
| 45
|
1963.6
|
28/9
|
Ab
|
| 46
|
2007.3
|
|
Ad
|
| 47
|
2050.9
|
|
A
|
| 48
|
2094.5
|
|
At
|
| 49
|
2138.2
|
|
A#
|
| 50
|
2181.8
|
|
^Bb
|
| 51
|
2225.5
|
|
vB
|
| 52
|
2269.1
|
|
^B
|
| 53
|
2312.7
|
19/5
|
Cd
|
| 54
|
2356.4
|
|
C
|
| 55
|
2400
|
|