7ed5/4
7ED5/4 is the equal division of the just major third into seven parts of 55.1877 cents each, corresponding to every fourth step of 87edo. It is related to the 5-limit temperament which tempers out |234 -7 -96> (0.198463 cents, 5-limit 1783&7980 comma).
Intervals
| degree | cents value | ratio |
|---|---|---|
| 0 | 0.0000 | 1/1 |
| 1 | 55.1877 | (5/4)1/7 |
| 2 | 110.3753 | (5/4)2/7 |
| 3 | 165.5630 | (5/4)3/7 |
| 4 | 220.7507 | (5/4)4/7 |
| 5 | 275.9384 | (5/4)5/7 |
| 6 | 331.1260 | (5/4)6/7 |
| 7 | 386.3137 | 5/4 |
| 8 | 441.5014 | (5/4)8/7 |
| 9 | 496.6891 | (5/4)9/7 |
| 10 | 551.8767 | (5/4)10/7 |
| 11 | 607.0644 | (5/4)11/7 |
| 12 | 662.2521 | (5/4)12/7 |
| 13 | 717.4398 | (5/4)13/7 |
| 14 | 772.6274 | (5/4)2 = 25/16 |
| 15 | 827.8151 | (5/4)15/7 |
| 16 | 883.0028 | (5/4)16/7 |
| 17 | 938.1904 | (5/4)17/7 |
| 18 | 993.3781 | (5/4)18/7 |
| 19 | 1048.5658 | (5/4)19/7 |
| 20 | 1103.7535 | (5/4)20/7 |
| 21 | 1158.9411 | (5/4)3 = 125/64 |
| 22 | 1214.1288 | (5/4)22/7 |
| 23 | 1269.3165 | (5/4)23/7 |
| 24 | 1324.5042 | (5/4)24/7 |
| 25 | 1379.6918 | (5/4)25/7 |
| 26 | 1434.8795 | (5/4)26/7 |
| 27 | 1490.0672 | (5/4)27/7 |
| 28 | 1545.2549 | (5/4)4 = 625/256 |
| 29 | 1600.4425 | (5/4)29/7 |
| 30 | 1655.6302 | (5/4)30/7 |
| 31 | 1710.8179 | (5/4)31/7 |
| 32 | 1766.0055 | (5/4)32/7 |
| 33 | 1821.1932 | (5/4)33/7 |
| 34 | 1876.3809 | (5/4)34/7 |
| 35 | 1931.5686 | (5/4)5 = 3125/1024 |
| 36 | 1986.7562 | (5/4)36/7 |
| 37 | 2041.9439 | (5/4)37/7 |
| 38 | 2097.1316 | (5/4)38/7 |
| 39 | 2152.3193 | (5/4)39/7 |
| 40 | 2207.5069 | (5/4)40/7 |
| 41 | 2262.6946 | (5/4)41/7 |
| 42 | 2317.8823 | (5/4)6 = 15625/4096 |
| 43 | 2373.0700 | (5/4)43/7 |
| 44 | 2428.2576 | (5/4)44/7 |
| 45 | 2483.4453 | (5/4)45/7 |
| 46 | 2538.6330 | (5/4)46/7 |
| 47 | 2593.8207 | (5/4)47/7 |
| 48 | 2649.0083 | (5/4)48/7 |
| 49 | 2704.1960 | (5/4)7 = 78125/16384 |
| 50 | 2759.3837 | (5/4)50/7 |
| 51 | 2814.5713 | (5/4)51/7 |
| 52 | 2869.7590 | (5/4)52/7 |
| 53 | 2924.9467 | (5/4)53/7 |
| 54 | 2980.1344 | (5/4)54/7 |
| 55 | 3035.3220 | (5/4)55/7 |
| 56 | 3090.5097 | (5/4)8 = 390625/65536 |
| 57 | 3145.6974 | (5/4)57/7 |
| 58 | 3200.8851 | (5/4)58/7 |
| 59 | 3256.0727 | (5/4)59/7 |
| 60 | 3311.2604 | (5/4)60/7 |
| 61 | 3366.4481 | (5/4)61/7 |
| 62 | 3421.6358 | (5/4)62/7 |
| 63 | 3476.8234 | (5/4)9 = 1953125/262144 |
| 64 | 3532.0111 | (5/4)64/7 |
| 65 | 3587.1988 | (5/4)65/7 |
| 66 | 3642.3864 | (5/4)66/7 |
| 67 | 3697.5741 | (5/4)67/7 |
| 68 | 3752.7618 | (5/4)68/7 |
| 69 | 3807.9495 | (5/4)69/7 |
| 70 | 3863.1371 | (5/4)10 = 9765625/1048576 |
| 71 | 3918.3248 | (5/4)71/7 |
| 72 | 3973.5125 | (5/4)72/7 |
| 73 | 4028.7002 | (5/4)73/7 |
| 74 | 4083.8878 | (5/4)74/7 |
| 75 | 4139.0755 | (5/4)75/7 |
| 76 | 4194.2632 | (5/4)76/7 |
| 77 | 4249.4509 | (5/4)11 = 48828125/4194304 |
| 78 | 4304.6385 | (5/4)78/7 |
| 79 | 4359.8262 | (5/4)79/7 |
| 80 | 4415.0139 | (5/4)80/7 |
| 81 | 4470.2015 | (5/4)81/7 |
| 82 | 4525.3892 | (5/4)82/7 |
| 83 | 4580.5769 | (5/4)83/7 |
| 84 | 4635.7646 | (5/4)12 = 244140625/16777216 |
| 85 | 4690.9522 | (5/4)85/7 |
| 86 | 4746.1399 | (5/4)86/7 |
| 87 | 4801.3276 | (5/4)87/7 |
| 88 | 4856.5153 | (5/4)88/7 |
| 89 | 4911.7029 | (5/4)89/7 |
| 90 | 4966.8906 | (5/4)90/7 |
| 91 | 5022.0783 | (5/4)13 = 1220703125/67108864 |