← 29ed7 30ed7 31ed7 →
Prime factorization 2 × 3 × 5
Step size 112.294 ¢ 
Octave 11\30ed7 (1235.24 ¢)
Twelfth 17\30ed7 (1909 ¢)
Consistency limit 3
Distinct consistency limit 3

30 equal divisions of the 7th harmonic (abbreviated 30ed7) is a nonoctave tuning system that divides the interval of 7/1 into 30 equal parts of about 112 ¢ each. Each step represents a frequency ratio of 71/30, or the 30th root of 7.

Intervals

Steps Cents Approximate ratios
0 0 1/1
1 112.3 15/14
2 224.6 17/15, 25/22
3 336.9 17/14, 23/19
4 449.2 13/10, 22/17
5 561.5 18/13, 25/18
6 673.8 25/17
7 786.1 11/7
8 898.4
9 1010.6 9/5, 25/14
10 1122.9 21/11, 25/13
11 1235.2
12 1347.5 13/6
13 1459.8 7/3
14 1572.1
15 1684.4
16 1796.7 17/6
17 1909 3/1
18 2021.3
19 2133.6
20 2245.9 11/3
21 2358.2
22 2470.5 25/6
23 2582.8
24 2695.1
25 2807.4
26 2919.6 27/5
27 3031.9
28 3144.2
29 3256.5
30 3368.8 7/1