75edo
75edo divides the octave into 75 equal parts of exactly 16 cents each. In the 5-limit, it tempers out the tetracot comma, 20000/19683 and the semicomma 2109375/2097152, and provides a good tuning for tetracot temperament. It provides the optimal patent val for the 12&51 temperament in the 7-limit and the 31&75 temperament in the 13-limit.
Intervals
| Step | Size in | |
| Cents | 7mus | |
| 0 | ||
| 1 | 16 | 20.48 (14.7B16) |
| 2 | 32 | 40.96 (28.F616) |
| 3 | 48 | 61.44 (3D.7116) |
| 4 | 64 | 81.92 (51.EB816) |
| 5 | 80 | 102.4 (66.6616) |
| 6 | 96 | 122.88 (7A.E116) |
| 7 | 112 | 143.36 (8F.5C16) |
| 8 | 128 | 163.84 (A3.D716) |
| 9 | 144 | 184.32 (B8.5216) |
| 10 | 160 | 204.8 (CC.CD16) |
| 11 | 176 | 225.28 (E1.4816) |
| 12 | 192 | 245.76 (F5.C316) |
| 13 | 208 | 266.24 (10A.3D16) |
| 14 | 224 | 286.72 (11E.B816) |
| 15 | 240 | 307.2 (133.3316) |
| 16 | 256 | 327.68 (147.AE16) |
| 17 | 272 | 348.16 (15C.2916) |
| 18 | 288 | 368.64 (170.A416) |
| 19 | 304 | 389.12 (185.1F16) |
| 20 | 320 | 409.6 (199.9A16) |
| 21 | 336 | 430.08 (1AE.14816) |
| 22 | 352 | 450.56 (1C2.8F16) |
| 23 | 368 | 471.04 (1D7.0A16) |
| 24 | 384 | 491.52 (1E9.8516) |
| 25 | 400 | 512 (20016) |
| 26 | 416 | 532.48 (214.7B16) |
| 27 | 432 | 552.96 (228.F616) |
| 28 | 448 | 573.44 (23D.7116) |
| 29 | 464 | 593.92 (251.EB816) |
| 30 | 480 | 614.4 (266.6616) |
| 31 | 496 | 634.88 (27A.E116) |
| 32 | 512 | 655.36 (28F.5C16) |
| 33 | 528 | 675.84 (2A3.D716) |
| 34 | 544 | 696.32 (2B8.5216) |
| 35 | 560 | 716.8 (2CC.CD16) |
| 36 | 576 | 737.28 (2E1.4816) |
| 37 | 592 | 757.76 (2F5.C316) |
| 38 | 608 | 778.24 (30A.3D16) |
| 39 | 624 | 798.72 (31E.B816) |
| 40 | 640 | 819.2 (333.3316) |
| 41 | 656 | 839.68 (347.AE16) |
| 42 | 672 | 860.16 (35C.2916) |
| 43 | 688 | 880.64 (370.A416) |
| 44 | 704 | 901.12 (385.1F16) |
| 45 | 720 | 921.6 (399.9A16) |
| 46 | 736 | 942.08 (3AE.14816) |
| 47 | 752 | 962.56 (3C2.8F16) |
| 48 | 768 | 983.04 (3D7.0A16) |
| 49 | 784 | 1003.52 (3E9.8516) |
| 50 | 800 | 1024 (40016) |
| 51 | 816 | 1044.48 (414.7B16) |
| 52 | 832 | 1064.96 (428.F616) |
| 53 | 848 | 1085.44 (43D.7116) |
| 54 | 864 | 1105.92 (551.EB816) |
| 55 | 880 | 1126.4 (466.6616) |
| 56 | 896 | 1146.88 (47A.E116) |
| 57 | 912 | 1167.36 (48F.5C16) |
| 58 | 928 | 1187.84 (4A3.D716) |
| 59 | 944 | 1208.32 (4B8.5216) |
| 60 | 960 | 1228.8 (4CC.CD16) |
| 61 | 976 | 1249.28 (4E1.4816) |
| 62 | 992 | 1269.76 (4F5.C316) |
| 63 | 1008 | 1290.24 (50A.3D16) |
| 64 | 1024 | 1310.72 (51E.B816) |
| 65 | 1040 | 1331.2 (533.3316) |
| 66 | 1056 | 1351.68 (547.AE16) |
| 67 | 1072 | 1372.16 (55C.2916) |
| 68 | 1088 | 1392.64 (570.A416) |
| 69 | 1104 | 1413.12 (585.1F16) |
| 70 | 1120 | 1433.6 (599.9A16) |
| 71 | 1136 | 1454.08 (5AE.14816) |
| 72 | 1152 | 1474.56 (5C2.8F16) |
| 73 | 1168 | 1495.04 (5D7.0A16) |
| 74 | 1184 | 1515.52 (5E9.8516) |
| 75 | 1200 | 1536 (60016) |