113edo

113edo is the 30th prime EDO. It has a step size of 10.619469026549 cents. It is a commatonal EDO. It is consistent and uniquely consistent in the 13-odd-limit and it is marvel, making it an interesting EDO choice, and quite possibly an alternative to 94edo for uniquely consistent in the 13-odd-limit marvel.

Step	Five limit	Seven limit	Eleven limit	Thirteen limit
1	3125/3072	245/243	100/99	100/99
2	81/80	81/80	81/80	65/64
3	2048/2025	49/48	45/44	45/44
4	250/243	250/243	125/121	40/39
5	128/125	36/35	33/32	33/32
6	25/24	25/24	25/24	25/24
7	648/625	648/625	363/350	26/25
8	135/128	21/20	21/20	21/20
9	256/243	200/189	35/33	35/33
10	2187/2048	729/686	132/125	52/49
11	16/15	15/14	15/14	15/14
12	625/576	175/162	175/162	14/13
13	27/25	27/25	27/25	13/12
14	1125/1024	35/32	12/11	12/11
15	800/729	625/567	400/363	100/91
16	2048/1875	54/49	11/10	11/10
17	10/9	10/9	10/9	10/9
18	3456/3125	972/875	693/625	39/35
19	9/8	9/8	9/8	9/8
20	4096/3645	245/216	25/22	25/22
21	729/640	567/500	198/175	91/80
22	256/225	8/7	8/7	8/7
23	125/108	125/108	125/108	15/13
24	144/125	81/70	81/70	52/45
25	75/64	7/6	7/6	7/6
26	729/625	729/625	350/297	117/100
27	1215/1024	147/125	33/28	13/11
28	32/27	25/21	25/21	25/21
29	3125/2592	875/729	297/250	117/98
30	6/5	6/5	6/5	6/5
31	625/512	98/81	40/33	40/33
32	243/200	243/200	121/100	39/32
33	4096/3375	49/40	11/9	11/9
34	100/81	100/81	100/81	16/13
35	768/625	216/175	99/80	26/21
36	5/4	5/4	5/4	5/4
37	3888/3125	1225/972	125/99	49/39
38	81/64	63/50	44/35	44/35
39	512/405	80/63	14/11	14/11
40	625/486	625/486	625/484	50/39
41	32/25	9/7	9/7	9/7
42	125/96	35/27	35/27	35/27
43	162/125	162/125	162/125	13/10
44	675/512	21/16	21/16	21/16
45	320/243	250/189	160/121	120/91
46	4096/3125	324/245	33/25	33/25
47	4/3	4/3	4/3	4/3
48	3125/2304	875/648	400/297	35/26
49	27/20	27/20	27/20	27/20
50	5625/4096	49/36	15/11	15/11
51	1000/729	1000/729	500/363	125/91
52	512/375	48/35	11/8	11/8
53	25/18	25/18	25/18	18/13
54	864/625	243/175	242/175	39/28
55	45/32	7/5	7/5	7/5
56	1024/729	343/243	125/88	55/39
57	729/512	486/343	99/70	78/55
58	64/45	10/7	10/7	10/7
59	625/432	350/243	175/121	56/39
60	36/25	36/25	36/25	13/9
61	375/256	35/24	16/11	16/11
62	729/500	729/500	363/250	117/80
63	6075/4096	72/49	22/15	22/15
64	40/27	40/27	40/27	40/27
65	4608/3125	729/490	297/200	52/35
66	3/2	3/2	3/2	3/2
67	3125/2048	245/162	50/33	50/33
68	243/160	189/125	121/80	91/60
69	1024/675	32/21	32/21	32/21
70	125/81	125/81	125/81	20/13
71	192/125	54/35	54/35	54/35
72	25/16	14/9	14/9	14/9
73	972/625	972/625	625/396	39/25
74	405/256	63/40	11/7	11/7
75	128/81	100/63	35/22	35/22
76	3125/1944	1944/1225	198/125	78/49
77	8/5	8/5	8/5	8/5
78	625/384	175/108	125/77	21/13
79	81/50	81/50	81/50	13/8
80	3375/2048	49/30	18/11	18/11
81	400/243	400/243	200/121	64/39
82	1024/625	81/49	33/20	33/20
83	5/3	5/3	5/3	5/3
84	5184/3125	1225/729	500/297	117/70
85	27/16	27/16	27/16	27/16
86	2048/1215	245/144	56/33	22/13
87	1250/729	1250/729	297/175	143/84
88	128/75	12/7	12/7	12/7
89	125/72	125/72	125/72	45/26
90	216/125	216/125	121/70	26/15
91	225/128	7/4	7/4	7/4
92	1280/729	1000/567	175/99	160/91
93	3645/2048	432/245	44/25	39/22
94	16/9	16/9	16/9	16/9
95	3125/1728	875/486	875/484	70/39
96	9/5	9/5	9/5	9/5
97	1875/1024	49/27	20/11	20/11
98	729/400	729/400	363/200	91/50
99	2048/1125	64/35	11/6	11/6
100	50/27	50/27	50/27	24/13
101	1152/625	324/175	231/125	13/7
102	15/8	15/8	15/8	15/8
103	4096/2187	1225/648	125/66	49/26
104	243/128	189/100	66/35	66/35
105	256/135	40/21	21/11	21/11
106	625/324	625/324	625/324	25/13
107	48/25	27/14	27/14	27/14
108	125/64	35/18	35/18	35/18
109	243/125	243/125	242/125	39/20
110	2025/1024	49/25	49/25	49/25
111	160/81	125/63	125/63	77/39
112	6144/3125	486/245	99/50	99/50
113	2/1	2/1	2/1	2/1