| Prime factorization
|
5 (prime)
|
| Step size
|
339.609 ¢
|
| Octave
|
4\5ed8/3 (1358.44 ¢)
|
| Twelfth
|
6\5ed8/3 (2037.65 ¢)
|
| Consistency limit
|
3
|
| Distinct consistency limit
|
3
|
5 equal divisions of 8/3 (abbreviated 5ed8/3) is a nonoctave tuning system that divides the interval of 8/3 into 5 equal parts of about 340 ¢ each. Each step represents a frequency ratio of (8/3)1/5, or the 5th root of 8/3.
Interval table
| Steps
|
Cents
|
Approximate ratios
|
| 0
|
0
|
1/1
|
| 1
|
339.6
|
13/11, 19/15
|
| 2
|
679.2
|
3/2, 10/7, 17/11, 19/13
|
| 3
|
1018.8
|
13/7, 19/11
|
| 4
|
1358.4
|
9/4, 11/5, 15/7, 20/9, 21/10
|
| 5
|
1698
|
13/5, 19/7
|