28ed5

Division of the 5th harmonic into 28 equal parts (28ed5) is related to 12 edo, but with the 5/1 rather than the 2/1 being just. The octave is about 5.8656 cents compressed and the step size about 99.5112 cents. This tuning has a meantone fifth as the number of divisions of the 5th harmonic is multiple of 4. This tuning also has the perfect fourth which is more accurate for 4/3 than that of 12edo, as well as 18/17, 19/16, and 24/17.

degree	cents value	corresponding JI intervals	comments
0	0.0000	exact 1/1
1	99.5112	18/17
2	199.0224	55/49
3	298.5336	19/16
4	398.0448	34/27	pseudo-5/4
5	497.5560	4/3
6	597.0672	24/17
7	696.5784		meantone fifth (pseudo-3/2)
8	796.0896	19/12
9	895.6008	57/34	pseudo-5/3
10	995.1120	16/9
11	1094.6232	32/17
12	1194.1344	255/128	pseudo-octave
13	1293.6457	19/9
14	1393.1569	38/17, 85/38	meantone major second plus an octave
15	1492.6681	45/19
16	1592.1793	128/51	pseudo-5/2
17	1691.6905	85/32
18	1791.2017	45/16
19	1890.7129	170/57	pseudo-3/1
20	1990.2241	60/19
21	2089.7353		meantone major sixth plus an octave (pseudo-10/3)
22	2189.2465	85/24
23	2288.7577	15/4
24	2388.2689	135/34	pseudo-4/1
25	2487.7801	80/19
26	2587.2913	49/11
27	2686.8025	85/18
28	2786.3137	exact 5/1	just major third plus two octaves