User:MisterShafXen/15ed9

← 13ed9

15ed9

17ed9 →

Prime factorization	3 × 5
Step size	253.594 ¢
Octave	5\15ed9 (1267.97 ¢) (→ 1\3ed9)
Twelfth	8\15ed9 (2028.75 ¢)
Consistency limit	2
Distinct consistency limit	2

15 equal divisions of the 9th harmonic (abbreviated 15ed9) is a nonoctave tuning system that divides the interval of 9/1 into 15 equal parts of about 254 ¢ each. Each step represents a frequency ratio of 9^1/15, or the 15th root of 9.

Intervals

Steps	Cents	Approximate ratios
0	0	1/1
1	253.6	15/13, 22/19
2	507.2	4/3, 19/14, 23/17
3	760.8	11/7, 17/11, 20/13
4	1014.4	16/9
5	1268	21/10, 23/11
6	1521.6	17/7
7	1775.2	14/5
8	2028.8	13/4
9	2282.3	15/4
10	2535.9	13/3
11	2789.5	5/1
12	3043.1
13	3296.7	20/3
14	3550.3
15	3803.9