| Prime factorization
|
73 (prime)
|
| Step size
|
38.1687 ¢
|
| Octave
|
31\73ed5 (1183.23 ¢)
|
| Twelfth
|
50\73ed5 (1908.43 ¢)
|
| Consistency limit
|
2
|
| Distinct consistency limit
|
2
|
73 equal divisions of the 5th harmonic (abbreviated 73ed5) is a nonoctave tuning system that divides the interval of 5/1 into 73 equal parts of about 38.2 ¢ each. Each step represents a frequency ratio of 51/73, or the 73rd root of 5.
| Steps
|
Cents
|
Approximate ratios
|
| 0
|
0
|
1/1
|
| 1
|
38.2
|
|
| 2
|
76.3
|
23/22
|
| 3
|
114.5
|
31/29
|
| 4
|
152.7
|
|
| 5
|
190.8
|
19/17
|
| 6
|
229
|
|
| 7
|
267.2
|
7/6
|
| 8
|
305.3
|
25/21, 37/31
|
| 9
|
343.5
|
|
| 10
|
381.7
|
|
| 11
|
419.9
|
37/29
|
| 12
|
458
|
30/23
|
| 13
|
496.2
|
|
| 14
|
534.4
|
15/11, 34/25
|
| 15
|
572.5
|
|
| 16
|
610.7
|
27/19
|
| 17
|
648.9
|
|
| 18
|
687
|
|
| 19
|
725.2
|
35/23, 38/25
|
| 20
|
763.4
|
|
| 21
|
801.5
|
27/17, 35/22
|
| 22
|
839.7
|
|
| 23
|
877.9
|
|
| 24
|
916
|
|
| 25
|
954.2
|
33/19
|
| 26
|
992.4
|
|
| 27
|
1030.6
|
|
| 28
|
1068.7
|
13/7
|
| 29
|
1106.9
|
|
| 30
|
1145.1
|
33/17
|
| 31
|
1183.2
|
|
| 32
|
1221.4
|
|
| 33
|
1259.6
|
31/15
|
| 34
|
1297.7
|
|
| 35
|
1335.9
|
13/6
|
| 36
|
1374.1
|
|
| 37
|
1412.2
|
|
| 38
|
1450.4
|
30/13
|
| 39
|
1488.6
|
|
| 40
|
1526.7
|
|
| 41
|
1564.9
|
37/15
|
| 42
|
1603.1
|
|
| 43
|
1641.3
|
|
| 44
|
1679.4
|
29/11
|
| 45
|
1717.6
|
35/13
|
| 46
|
1755.8
|
|
| 47
|
1793.9
|
31/11
|
| 48
|
1832.1
|
|
| 49
|
1870.3
|
|
| 50
|
1908.4
|
|
| 51
|
1946.6
|
|
| 52
|
1984.8
|
22/7
|
| 53
|
2022.9
|
29/9
|
| 54
|
2061.1
|
23/7
|
| 55
|
2099.3
|
37/11
|
| 56
|
2137.4
|
|
| 57
|
2175.6
|
|
| 58
|
2213.8
|
|
| 59
|
2252
|
11/3
|
| 60
|
2290.1
|
|
| 61
|
2328.3
|
23/6
|
| 62
|
2366.5
|
|
| 63
|
2404.6
|
|
| 64
|
2442.8
|
|
| 65
|
2481
|
21/5
|
| 66
|
2519.1
|
30/7
|
| 67
|
2557.3
|
|
| 68
|
2595.5
|
|
| 69
|
2633.6
|
|
| 70
|
2671.8
|
|
| 71
|
2710
|
|
| 72
|
2748.1
|
|
| 73
|
2786.3
|
5/1
|