54edt

Division of the third harmonic into 54 equal parts (54EDT) is related to 34 edo, but with the 3/1 rather than the 2/1 being just. The octave is about 2.4728 cents compressed and the step size is about 35.2214 cents. It is consistent to the 7-integer-limit, but not to the 8-integer-limit. In comparison, 34edo is only consistent up to the 6-integer-limit.

degree	cents value	hekts	corresponding JI intervals	comments
0	0		exact 1/1
1	35.2214	24.0741	50/49, 49/48
2	70.4428	48.14815	25/24
3	105.6642	72.2222	17/16
4	140.8856	96.2963	13/12
5	176.1069	120.3704	10/9
6	211.3283	144.4444	26/23
7	246.5497	168.5185	15/13
8	281.7711	192.5926	20/17
9	316.9925	216.6667	6/5
10	352.2139	240.7407	11/9
11	387.4353	264.8148	5/4
12	422.6567	288.8889	23/18
13	457.8781	312.963	13/10
14	493.0994	337.037	4/3
15	528.3208	361.1111	19/14
16	563.5422	385.1852	18/13
17	598.7636	409.2593	41/29, 140/99
18	633.985	433.3333	13/9
19	669.2064	457.4074	28/19
20	704.4278	481.4815	3/2
21	739.6492	505.5559	20/13
22	774.8706	529.6296	36/23
23	810.0919	553.7037	8/5
24	845.3133	577.7778	44/27
25	880.5347	601.85185	5/3
26	915.7561	625.9259	17/10
27	950.9775	650	26/15
28	986.1989	674.074	23/13
29	1021.4203	698.14815	9/5
30	1056.6417	722.2222	81/44
31	1091.8631	746.2963	15/8
32	1127.0844	770.3704	23/12
33	1162.3058	794.4444	49/25, 96/49
34	1197.5272	818.5185	2/1
35	1232.7486	842.5926	100/49, 49/24
36	1267.97	866.6667	25/12
37	1303.1914	890.7407	17/8
38	1338.4128	914.8148	13/6
39	1373.6342	938.8889	20/9, 42/19
40	1408.8556	962.963	88/39
41	1444.0769	987.037	76/33
42	1479.2983	1011.1111	47/20
43	1514.5197	1035.1852	12/5
44	1549.7411	1059.2593	27/11
45	1584.9625	1083.3333	5/2
46	1620.1839	1107.4074	51/20
47	1655.4053	1131.4815	13/5
48	1690.6267	1155.5556	8/3
49	1725.8481	1179.6297	19/7
50	1761.0694	1203.7037	36/13
51	1796.2908	1227.7778	48/17
52	1831.5122	1251.85185	72/25
53	1866.7336	1275.5926	50/17
54	1901.9550	1300	exact 3/1	just perfect fifth plus an octave