| Prime factorization
|
2 × 29
|
| Step size
|
58.0832 ¢
|
| Octave
|
21\58ed7 (1219.75 ¢)
|
| Twelfth
|
33\58ed7 (1916.75 ¢)
|
| Consistency limit
|
3
|
| Distinct consistency limit
|
3
|
58 equal divisions of the 7th harmonic (abbreviated 58ed7) is a nonoctave tuning system that divides the interval of 7/1 into 58 equal parts of about 58.1 ¢ each. Each step represents a frequency ratio of 71/58, or the 58th root of 7.
Intervals
| Steps
|
Cents
|
Approximate ratios
|
Note names (based off of 3\62edo)
|
| 0
|
0
|
1/1
|
C
|
| 1
|
58.1
|
|
vC#
|
| 2
|
116.2
|
15/14, 31/29
|
Db
|
| 3
|
174.2
|
21/19
|
vD
|
| 4
|
232.3
|
|
Dt
|
| 5
|
290.4
|
13/11
|
^D#
|
| 6
|
348.5
|
|
…
|
| 7
|
406.6
|
19/15
|
| 8
|
464.7
|
17/13
|
| 9
|
522.7
|
23/17, 27/20
|
| 10
|
580.8
|
7/5
|
| 11
|
638.9
|
|
| 12
|
697
|
|
| 13
|
755.1
|
17/11
|
| 14
|
813.2
|
|
| 15
|
871.2
|
|
| 16
|
929.3
|
|
| 17
|
987.4
|
23/13
|
| 18
|
1045.5
|
|
| 19
|
1103.6
|
|
| 20
|
1161.7
|
|
| 21
|
1219.7
|
|
| 22
|
1277.8
|
23/11
|
| 23
|
1335.9
|
|
| 24
|
1394
|
|
| 25
|
1452.1
|
|
| 26
|
1510.2
|
|
| 27
|
1568.2
|
|
| 28
|
1626.3
|
|
| 29
|
1684.4
|
|
| 30
|
1742.5
|
|
| 31
|
1800.6
|
|
| 32
|
1858.7
|
|
| 33
|
1916.7
|
|
| 34
|
1974.8
|
|
| 35
|
2032.9
|
|
| 36
|
2091
|
|
| 37
|
2149.1
|
|
| 38
|
2207.2
|
25/7
|
| 39
|
2265.2
|
|
| 40
|
2323.3
|
|
| 41
|
2381.4
|
|
| 42
|
2439.5
|
|
| 43
|
2497.6
|
|
| 44
|
2555.7
|
|
| 45
|
2613.7
|
|
| 46
|
2671.8
|
|
| 47
|
2729.9
|
|
| 48
|
2788
|
5/1
|
| 49
|
2846.1
|
|
| 50
|
2904.2
|
|
| 51
|
2962.2
|
|
| 52
|
3020.3
|
|
| 53
|
3078.4
|
|
| 54
|
3136.5
|
|
| 55
|
3194.6
|
19/3
|
| 56
|
3252.7
|
|
| 57
|
3310.7
|
|
| 58
|
3368.8
|
7/1
|