58edf

Division of the just perfect fifth into 58 equal parts (58EDF) is related to 99 edo, but with the 3/2 rather than the 2/1 being just. The octave is about 1.8354 cents compressed and the step size is about 12.1027 cents (corresponding to 99.1517 edo). It is consistent to the 12-integer-limit. In comparison, 99edo is only consistent up to the 10-integer-limit.

Lookalikes: 99edo, 157edt

Intervals

Degrees	Cents Value	Five limit	Seven limit	Eleven limit	Thirteen limit
1	12.1027	2048/2025	126/125	99/98	91/90
2	24.2053	81/80	64/63	55/54	55/54
3	36.308	128/125	49/48	49/48	49/48
4	48.4107	250/243	36/35	33/32	33/32
5	60.5134	648/625	28/27	28/27	26/25
6	72.616	25/24	25/24	22/21	22/21
7	84.7187	256/243	21/20	21/20	21/20
8	96.8214	135/128	135/128	81/77	52/49
9	108.92405	16/15	16/15	16/15	16/15
10	121.0267	2187/2048	15/14	15/14	15/14
11	133.1294	27/25	27/25	27/25	13/12
12	145.2321	625/576	49/45	49/45	49/45
13	157.3347	800/729	35/32	11/10	11/10
14	169.4374	1125/1024	54/49	54/49	54/49
15	181.54	10/9	10/9	10/9	10/9
16	193.6428	4096/3645	28/25	28/25	28/25
17	205.7454	9/8	9/8	9/8	9/8
18	217.8481	256/225	245/216	112/99	91/80
19	229.9508	729/640	8/7	8/7	8/7
20	242.05345	144/125	144/125	63/55	52/45
21	254.1561	125/108	81/70	81/70	15/13
22	266.2587	729/625	7/6	7/6	7/6
23	278.3615	75/64	75/64	33/28	33/28
24	290.4641	32/27	32/27	32/27	13/11
25	302.5668	1215/1024	25/21	25/21	25/21
26	314.6695	6/5	6/5	6/5	6/5
27	326.7722	3125/2592	98/81	98/81	91/75
28	338.8748	243/200	128/105	11/9	11/9
29	350.9775	625/512	49/40	49/40	49/40
30	363.0802	100/81	100/81	27/22	16/13
31	375.18285	3888/3125	56/45	56/45	56/45
32	387.2855	5/4	5/4	5/4	5/4
33	399.3882	512/405	63/50	63/50	49/39
34	411.4909	81/64	80/63	80/63	33/26
35	423.5935	32/25	32/25	14/11	14/11
36	435.6962	625/486	9/7	9/7	9/7
37	447.7989	162/125	35/27	35/27	13/10
38	459.90155	125/96	64/49	55/42	55/42
39	472.0042	320/243	21/16	21/16	21/16
40	484.1069	675/512	250/189	250/189	65/49
41	469.2096	4/3	4/3	4/3	4/3
42	508.3122	8192/6075	75/56	66/49	66/49
43	520.4149	27/20	27/20	27/20	27/20
44	532.5176	512/375	49/36	49/36	49/36
45	544.6203	1000/729	48/35	11/8	11/8
46	556.7229	864/625	112/81	112/81	91/66
47	568.8256	25/18	25/18	25/18	18/13
48	580.9283	1024/729	7/5	7/5	7/5
49	593.03095	45/32	45/32	45/32	45/32
50	605.1336	64/45	64/45	64/45	64/45
51	617.2362	729/512	10/7	10/7	10/7
52	629.339	36/25	36/25	36/25	13/9
53	641.4416	625/432	81/56	81/56	75/52
54	653.5443	729/500	35/24	16/11	16/11
55	665.647	375/256	72/49	72/49	72/49
56	677.7497	40/27	40/27	40/27	40/27
57	689.8523	6075/4096	112/75	49/33	49/33
58	701.955	3/2	3/2	3/2	3/2
59	714.0577	1024/675	189/125	189/125	91/60
60	726.16035	243/160	32/21	32/21	32/21
61	738.263	192/125	49/32	49/32	49/32
62	750.3657	125/81	54/35	54/35	20/13
63	762.4684	972/625	14/9	14/9	14/9
64	774.571	25/16	25/16	11/7	11/7
65	786.6737	128/81	63/40	63/40	52/33
66	798.7764	405/256	100/63	100/63	78/49
67	810.87905	8/5	8/5	8/5	8/5
68	822.9817	3125/1944	45/28	45/28	45/28
69	835.0844	81/50	81/50	44/27	13/8
70	847.1871	625/384	49/30	49/30	49/30
71	859.2897	400/243	105/64	18/11	18/11
72	871.3924	3375/2048	81/49	81/49	81/49
73	883.4951	5/3	5/3	5/3	5/3
74	895.5978	2048/1215	42/25	42/25	42/25
75	907.7004	27/16	27/16	27/16	22/13
76	919.8031	128/75	128/75	56/33	56/33
77	931.9058	1250/729	12/7	12/7	12/7
78	944.00845	216/125	140/81	140/81	26/15
79	956.1111	125/72	125/72	110/63	45/26
80	968.2138	1280/729	7/4	7/4	7/4
81	980.3165	225/128	225/128	99/56	99/56
82	992.4191	16/9	16/9	16/9	16/9
83	1004.5218	3645/2048	25/14	25/14	25/14
84	1016.6245	9/5	9/5	9/5	9/5
85	1028.7272	2048/1125	49/27	49/27	49/27
86	1040.8298	729/400	64/35	11/6	11/6
87	1052.9325	1152/625	90/49	90/49	90/49
88	1065.0352	50/27	50/27	50/27	13/7
89	1077.13785	4096/2187	28/15	28/15	28/15
90	1089.2405	15/8	15/8	15/8	15/8
91	1101.3432	256/135	189/100	154/81	49/26
92	1113.4459	243/128	40/21	40/21	40/21
93	1125.5485	48/25	48/25	21/11	21/11
94	1137.6512	625/324	27/14	27/14	25/13
95	1149.7539	243/125	35/18	35/18	35/18
96	1161.8566	125/64	49/25	49/25	49/25
97	1173.9592	160/81	63/32	63/32	63/32
98	1186.0619	2025/1024	125/63	125/63	125/63
99	1198.1646	2/1	2/1	2/1	2/1