22edf

22EDF is the equal division of the just perfect fifth into 22 parts of 31.907 cents each, corresponding to 37.6092 edo (similar to every fifth step of 188edo).

Harmonics

Approximation of harmonics in 22edf
Harmonic		2	3	4	5	6	7	8	9	10	11	12
Error	Absolute (¢)	+12.5	+12.5	-7.0	-10.4	-7.0	+13.3	+5.5	-7.0	+2.1	-3.4	+5.5
Error	Relative (%)	+39.1	+39.1	-21.8	-32.6	-21.8	+41.7	+17.2	-21.8	+6.5	-10.7	+17.2
Steps (reduced)		38 (16)	60 (16)	75 (9)	87 (21)	97 (9)	106 (18)	113 (3)	119 (9)	125 (15)	130 (20)	135 (3)

Approximation of harmonics in 22edf
Harmonic		13	14	15	16	17	18	19	20	21	22	23
Error	Absolute (¢)	-5.4	-6.1	+2.1	-13.9	+8.7	+5.5	+7.6	+14.5	-6.1	+9.1	-4.1
Error	Relative (%)	-17.1	-19.2	+6.5	-43.7	+27.4	+17.2	+23.9	+45.6	-19.2	+28.4	-12.8
Steps (reduced)		139 (7)	143 (11)	147 (15)	150 (18)	154 (0)	157 (3)	160 (6)	163 (9)	165 (11)	168 (14)	170 (16)

Intervals of 22edf
degree	cents value	corresponding JI intervals	comments
0		exact 1/1
1	31.907	55/54
2	63.8141	(28/27), (27/26)
3	95.7211
4	127.6282	14/13
5	159.5352	57/52
6	191.4423
7	223.3493	8/7
8	255.2564
9	287.1634	13/11
10	319.0705	6/5
11	350.9775	60/49, 49/40
12	382.8845	5/4
13	414.7916	14/11
14	446.6986
15	478.6057
16	510.5127
17	542.4198	26/19
18	574.3268	39/28
19	606.2339	64/45
20	638.1409	(13/9)
21	670.048	81/55
22	701.955	exact 3/2	just perfect fifth
23	733.862	55/36
24	765.7691	14/9, 81/52
25	797.6761
26	828.5732	21/13
27	861.4902	171/104
28	893.3973
29	925.3043	12/7
30	956.2114
31	988.1184	39/22
32	1020.0255	9/5
33	1052.9235	90/49, 147/80
34	1084.8395	15/8
35	1116.7466	21/11
36	1148.6536
37	1180.5607
38	1211.4677
39	1244.3748	39/19
40	1276.2816	117/56
41	1308.1889	32/15
42	1340.0959	13/6
43	1372.003	243/110
44	1403.91	exact 9/4

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