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 Carlos Alpha and the 7-limit temperaments which temper out 2100875/2097152 (including the tertiaseptal temperament and the valentine temperament).
| degree | cents value | ratio | comments |
|---|---|---|---|
| 0 | 0.0000 | 1/1 | |
| 1 | 77.2627 | (5/4)1/5 | |
| 2 | 154.5255 | (5/4)2/5 | |
| 3 | 231.7882 | (5/4)3/5 | |
| 4 | 309.0510 | (5/4)4/5 | |
| 5 | 386.3137 | 5/4 | just major third |
| 6 | 463.5765 | (5/4)6/5 | |
| 7 | 540.8392 | (5/4)7/5 | |
| 8 | 618.1019 | (5/4)8/5 | |
| 9 | 695.3647 | (5/4)9/5 | |
| 10 | 772.6274 | (5/4)2 = 25/16 | classic augmented fifth |
| 11 | 849.8902 | (5/4)11/5 | |
| 12 | 927.1529 | (5/4)12/5 | |
| 13 | 1004.4157 | (5/4)13/5 | |
| 14 | 1081.6784 | (5/4)14/5 | |
| 15 | 1158.9411 | (5/4)3 = 125/64 | octave minus diesis |
| 16 | 1236.2039 | (5/4)16/5 | |
| 17 | 1313.4666 | (5/4)17/5 | |
| 18 | 1390.7294 | (5/4)18/5 | |
| 19 | 1467.9921 | (5/4)19/5 | |
| 20 | 1545.2549 | (5/4)4 = 625/256 | double augmented ninth |
| 21 | 1622.5176 | (5/4)21/5 | |
| 22 | 1699.7803 | (5/4)22/5 | |
| 23 | 1777.0431 | (5/4)23/5 | |
| 24 | 1854.3058 | (5/4)24/5 | |
| 25 | 1931.5686 | (5/4)5 = 3125/1024 | triple augmented eleventh (3/1 plus magic comma) |
| 26 | 2008.8313 | (5/4)26/5 | |
| 27 | 2086.0941 | (5/4)27/5 | |
| 28 | 2163.3568 | (5/4)28/5 | |
| 29 | 2240.6195 | (5/4)29/5 | |
| 30 | 2317.8823 | (5/4)6 = 15625/4096 | triple augmented thireenth (two octaves minus double diesis) |
| 31 | 2395.1450 | (5/4)31/5 | |
| 32 | 2472.4078 | (5/4)32/5 | |
| 33 | 2549.6705 | (5/4)33/5 | |
| 34 | 2626.9333 | (5/4)34/5 | |
| 35 | 2704.1960 | (5/4)7 = 78125/16384 | |
| 36 | 2781.4587 | (5/4)36/5 | |
| 37 | 2858.7215 | (5/4)37/5 | |
| 38 | 2935.9842 | (5/4)38/5 | |
| 39 | 3013.2470 | (5/4)39/5 | |
| 40 | 3090.5097 | (5/4)8 = 390625/65536 | |
| 41 | 3167.7725 | ||
| 42 | 3245.0352 | ||
| 43 | 3322.2979 | ||
| 44 | 3399.5607 | ||
| 45 | 3476.8234 | (5/4)9 = 1953125/262144 | |
| 46 | 3554.0862 | (5/4)46/5 | |
| 47 | 3631.3489 | (5/4)47/5 | |
| 48 | 3708.6117 | (5/4)48/5 | |
| 49 | 3785.8744 | (5/4)49/5 | |
| 50 | 3863.1371 | (5/4)10 = 9765625/1048576 | |
| 51 | 3940.3999 | (5/4)51/5 | |
| 52 | 4017.6626 | (5/4)52/5 | |
| 53 | 4094.9254 | (5/4)53/5 | |
| 54 | 4172.1881 | (5/4)54/5 | |
| 55 | 4249.4509 | (5/4)11 = 48828125/4194304 | |
| 56 | 4326.7136 | (5/4)56/5 | |
| 57 | 4403.9763 | (5/4)57/5 | |
| 58 | 4481.2391 | (5/4)58/5 | |
| 59 | 4558.5018 | (5/4)59/5 | |
| 60 | 4635.7646 | (5/4)12 = 244140625/16777216 | |
| 61 | 4713.0273 | (5/4)61/5 | |
| 62 | 4790.2901 | (5/4)62/5 | |
| 63 | 4867.5528 | (5/4)63/5 |