24edt

24EDT is the equal division of the third harmonic into 24 parts of 79.2481 cents each, corresponding to 15.1423 edo (similar to every seventh step of 106edo). It is related to the rank-three temperament which tempers out 325/324, 625/624, and 468512/468195 in the 13-limit, which is supported by 15, 106, 121, 212, and 227 EDOs.

degree	cents value	corresponding JI intervals	comments
0	0.0000	exact 1/1
1	79.2481	22/21
2	158.4963
3	237.7444	39/34
4	316.9925	6/5
5	396.2406	44/35
6	475.4888
7	554.7369
8	633.9850	75/52
9	713.2331
10	792.4813	30/19, 19/12
11	871.7294
12	950.9775	45/26, 26/15
13	1030.2256
14	1109.4738	36/19, 19/10
15	1188.7219
16	1267.9700	52/25
17	1347.2181
18	1426.4663
19	1505.7144	105/44
20	1584.9625	5/2
21	1664.2106	34/13
22	1743.4588
23	1822.7069	63/22
24	1901.9550	exact 3/1	just perfect fifth plus an octave

Related temperament

11-limit 15&106&212

Commas: 15625/15552, 585640/583443

POTE generators: ~7/4 = 968.8778, ~22/21 = 79.2597

Map: [<1 0 1 0 -1|, <0 24 20 0 25|, <0 0 0 1 1|]

EDOs: 15, 106, 121, 212, 227

13-limit 15&106&212

Commas: 325/324, 625/624, 468512/468195

POTE generators: ~7/4 = 968.8187, ~22/21 = 79.2727

Map: [<1 0 1 0 -1 0|, <0 24 20 0 25 56|, <0 0 0 1 1 0|]

EDOs: 15, 106, 121, 212, 227