39ed5

Division of the 5th harmonic into 39 equal parts (39ED5) is a good hyperpyth tuning. The step size about 71.4439 cents. It is compared to every fifth step of 84EDO, but with the 5/1 rather than the 2/1 being just.

degree	cents value	corresponding JI intervals	comments
0	0.0000	exact 1/1
1	71.4439	25/24, 24/23
2	142.8879	38/35, 25/23
3	214.3318	26/23, 43/38, 60/53, 17/15
4	285.7758	33/28, 46/39, 13/11
5	357.2197	16/13
6	428.6636	32/25, 41/32, 50/39
7	500.1076	4/3
8	571.5515	25/18	-11.0 cents from 7/5
9	642.9955	45/31
10	714.4394	80/53, 77/51, 68/45, 65/43
11	785.8834	11/7
12	857.3273	41/25, 23/14
13	928.7712	70/41, 65/38
14	1000.2152	57/32, 98/55, 41/23	-17.4 cents from 9/5
15	1071.6591	13/7
16	1143.1031	29/15, 31/16
17	1214.5470	125/62, 115/57, 105/52
18	1285.9909	21/10
19	1357.4349	35/16, 46/21, 125/57	-7.6 cents from 11/5
20	1428.8788	57/25, 105/46, 16/7
21	1500.3228	50/21
22	1571.7667	52/21, 57/23, 62/25
23	1643.2107	80/31, 75/29	-11.0 cents from 13/5
24	1714.6546	35/13
25	1786.0985	115/41, 160/57
26	1857.5425	38/13, 41/14
27	1928.9864	70/23	+27.0 cents from 3/1
28	2000.4304	35/11
29	2071.8743	43/13, 53/16
30	2143.3182	31/9	+24.7 cents from 17/5
31	2214.7622	18/5
32	2286.2061	15/4	-25.0 cents from 19/5
33	2357.6501	39/10
34	2429.0940	65/16
35	2500.5379	55/13	+16.1 cents from 21/5
36	2571.9819	75/17, 53/12, 190/43, 115/26
37	2643.4258	23/5	+1.5 cents from 23/5
38	2714.8698	24/5
39	2786.3137	exact 5/1	just major third plus two octaves