5ed5/4

5ED5/4 is the equal division of the just major third into five parts of 77.2627 cents each, corresponding to every second step of 31edo. It is related to the tertiaseptal temperament (which tempers out 2401/2400 and 65625/65536 in the 7-limit) and the valentine temperament (which tempers out 126/125 and 1029/1024 in the 7-limit).

degree	cents value	corresponding JI intervals	comments
0	0.0000	exact 1/1
1	77.2627	25/24 (valentine) 22/21 (valentine) 21/20 (valentine)
2	154.5255	12/11 (valentine) 35/32 11/10 (valentine)
3	231.7882	8/7
4	309.0510	6/5 (valentine)
5	386.3137	exact 5/4	just major third
6	463.5765	21/16 (valentine)
7	540.8392	11/8 (valentine)
8	618.1019	10/7
9	695.3647	3/2 (valentine)
10	772.6274	exact 25/16	classic augmented fifth
11	849.8902
12	927.1529
13	1004.4157
14	1081.6784	28/15 (tertiaseptal)
15	1158.9411	exact 125/64	octave minus diesis
16	1236.2039
17	1313.4666	32/15 (tertiaseptal)
18	1390.7294
19	1467.9921	7/3 (tertiaseptal)
20	1545.2549	exact 625/256	double augmented ninth
21	1622.5176
22	1699.7803	8/3 (tertiaseptal)
23	1777.0431
24	1854.3058
25	1931.5686	exact 3125/1024	triple augmented eleventh (3/1 plus magic comma)
26	2008.8313
27	2086.0941	10/3 (tertiaseptal)
28	2163.3568
29	2240.6195
30	2317.8823	exact 15625/4096	triple augmented thireenth (two octaves minus double diesis)
31	2395.1450
32	2472.4078
33	2549.6705	48/11
34	2626.9333
35	2704.1960	exact 78125/16384
36	2781.4587
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