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	corresponding JI intervals	comments
0	0.0000	exact 1/1
1	35.2214	50/49, 49/48
2	70.4428	25/24
3	105.6642	17/16
4	140.8856
5	176.1069
6	211.3283	26/23
7	246.5497	15/13
8	281.7711	20/17
9	316.9925		pseudo-6/5
10	352.2139
11	387.4353	5/4
12	422.6567	60/47
13	457.8781	99/76
14	493.0994	117/88	pseudo-4/3
15	528.3208	19/14
16	563.5422	18/13
17	598.7636	41/29, 140/99
18	633.9850
19	669.2064
20	704.4278		pseudo-3/2
21	739.6492
22	774.8706	36/23
23	810.0919		pseudo-8/5
24	845.3133	44/27
25	880.5347		pseudo-5/3
26	915.7561
27	950.9775
28	986.1989
29	1021.4203		pseudo-9/5
30	1056.6417	81/44
31	1091.8631
32	1127.0844	23/12
33	1162.3058
34	1197.5272		pseudo-2/1
35	1232.7486
36	1267.9700
37	1303.1914
38	1338.4128	13/6
39	1373.6342	42/19
40	1408.8556	88/39
41	1444.0769	76/33
42	1479.2983	47/20
43	1514.5197	12/5
44	1549.7411
45	1584.9625		pseudo-5/2
46	1620.1839	51/20
47	1655.4053	13/5
48	1690.6267	69/26
49	1725.8481
50	1761.0694
51	1796.2908	48/17
52	1831.5122	72/25
53	1866.7336	50/17
54	1901.9550	exact 3/1	just perfect fifth plus an octave