← 15ed9 17ed9 19ed9 →
Prime factorization 17 (prime)
Step size 223.759 ¢ 
Octave 5\17ed9 (1118.8 ¢)
Twelfth 9\17ed9 (2013.83 ¢)
Consistency limit 2
Distinct consistency limit 2

17 equal divisions of the 9th harmonic (abbreviated 17ed9) is a nonoctave tuning system that divides the interval of 9/1 into 17 equal parts of about 224 ¢ each. Each step represents a frequency ratio of 91/17, or the 17th root of 9.

Intervals

Steps Cents Approximate ratios
0 0 1/1
1 223.8 17/15
2 447.5 17/13, 22/17
3 671.3 19/13, 22/15
4 895 22/13
5 1118.8 21/11, 23/12
6 1342.6 13/6
7 1566.3
8 1790.1 14/5, 17/6
9 2013.8 19/6
10 2237.6 11/3
11 2461.4
12 2685.1
13 2908.9
14 3132.6
15 3356.4 7/1
16 3580.2
17 3803.9