User:MisterShafXen/10ed19/10

10 equal divisions of 19/10 (abbreviated 10ed19/10) is a nonoctave tuning system that divides the interval of 19/10 into 10 equal parts of about 111 ¢ each. Each step represents a frequency ratio of (19/10)^1/10, or the 10th root of 19/10.

Intervals

#	Cents	Approximate JI ratios (direct)	Approximate JI ratios (val)
0	0.0	exact 1/1	exact 1/1
1	111.1	16/15	11/10
2	222.2	25/22	7/6, 8/7, 9/8, 10/9, 12/11
3	333.4	40/33	5/4, 6/5, 11/9
4	444.5	31/24	4/3, 9/7, 5/4
5	555.6	11/8	4/3, 7/5, 11/8
6	666.7	72/49, 47/32	3/2, 10/7
7	777.8	36/23	11/7, 3/2
8	889.0	5/3	5/3
9	1000.1	16/9, 57/32	9/5, 11/6, 12/7
10	1111.2	exact 19/10	2/1

Harmonics

x	2	3	4	5	6	7	8	9	10	11	12
Absolute error (cents)	22	-13	45	-8	9	-35	-44	-26	14	-40	32
Steps	11	17	22	25	28	30	32	34	36	37	39
Steps (reduced)	1	7	2	5	8	0	2	4	6	7	9