88edt
| ← 87edt | 88edt | 89edt → |
88EDT is the equal division of the third harmonic into 88 parts of 21.6131 cents each, corresponding to 55.5218 edo (similar to every second step of 111edo). It is consistent to the no-twos 11-limit, tempering out 1331/1323, 16875/16807, and 216513/214375. In the 3.4.5.7.11 subgroup, it tempers out 176/175, 540/539, 1331/1323, and 5120/5103.
88EDT is the 15th no-twos zeta peak EDT.
Harmonics
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +10.34 | +0.00 | +1.78 | +2.82 | -1.60 | -9.84 | +1.22 | +3.18 | -3.38 | +5.97 | -1.43 |
| Relative (%) | +47.8 | +0.0 | +8.2 | +13.1 | -7.4 | -45.5 | +5.7 | +14.7 | -15.6 | +27.6 | -6.6 | |
| Steps (reduced) |
56 (56) |
88 (0) |
129 (41) |
156 (68) |
192 (16) |
205 (29) |
227 (51) |
236 (60) |
251 (75) |
270 (6) |
275 (11) | |
| Harmonic | 37 | 41 | 43 | 47 | 53 | 59 | 61 | 67 | 71 | 73 | 79 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -5.15 | -9.96 | -5.97 | -8.66 | -0.53 | +8.32 | -6.17 | +4.32 | -9.62 | +7.13 | +0.06 |
| Relative (%) | -23.8 | -46.1 | -27.6 | -40.1 | -2.5 | +38.5 | -28.5 | +20.0 | -44.5 | +33.0 | +0.3 | |
| Steps (reduced) |
289 (25) |
297 (33) |
301 (37) |
308 (44) |
318 (54) |
327 (63) |
329 (65) |
337 (73) |
341 (77) |
344 (80) |
350 (86) | |
Intervals
| Steps | Cents | Hekts | Approximate ratios |
|---|---|---|---|
| 0 | 0 | 0 | 1/1 |
| 1 | 21.6 | 14.8 | |
| 2 | 43.2 | 29.5 | |
| 3 | 64.8 | 44.3 | 27/26 |
| 4 | 86.5 | 59.1 | 41/39 |
| 5 | 108.1 | 73.9 | 33/31 |
| 6 | 129.7 | 88.6 | |
| 7 | 151.3 | 103.4 | |
| 8 | 172.9 | 118.2 | 21/19 |
| 9 | 194.5 | 133 | 19/17 |
| 10 | 216.1 | 147.7 | 17/15 |
| 11 | 237.7 | 162.5 | 31/27 |
| 12 | 259.4 | 177.3 | 29/25 |
| 13 | 281 | 192 | |
| 14 | 302.6 | 206.8 | 25/21, 31/26 |
| 15 | 324.2 | 221.6 | 35/29 |
| 16 | 345.8 | 236.4 | 11/9 |
| 17 | 367.4 | 251.1 | 21/17, 26/21 |
| 18 | 389 | 265.9 | |
| 19 | 410.6 | 280.7 | 19/15, 33/26 |
| 20 | 432.3 | 295.5 | 9/7 |
| 21 | 453.9 | 310.2 | |
| 22 | 475.5 | 325 | 25/19, 29/22 |
| 23 | 497.1 | 339.8 | |
| 24 | 518.7 | 354.5 | 31/23 |
| 25 | 540.3 | 369.3 | 26/19 |
| 26 | 561.9 | 384.1 | |
| 27 | 583.6 | 398.9 | 7/5 |
| 28 | 605.2 | 413.6 | |
| 29 | 626.8 | 428.4 | 33/23 |
| 30 | 648.4 | 443.2 | |
| 31 | 670 | 458 | 25/17 |
| 32 | 691.6 | 472.7 | |
| 33 | 713.2 | 487.5 | |
| 34 | 734.8 | 502.3 | 26/17, 29/19 |
| 35 | 756.5 | 517 | 17/11 |
| 36 | 778.1 | 531.8 | |
| 37 | 799.7 | 546.6 | 27/17 |
| 38 | 821.3 | 561.4 | 37/23 |
| 39 | 842.9 | 576.1 | |
| 40 | 864.5 | 590.9 | |
| 41 | 886.1 | 605.7 | 5/3 |
| 42 | 907.8 | 620.5 | |
| 43 | 929.4 | 635.2 | |
| 44 | 951 | 650 | 26/15 |
| 45 | 972.6 | 664.8 | |
| 46 | 994.2 | 679.5 | |
| 47 | 1015.8 | 694.3 | 9/5 |
| 48 | 1037.4 | 709.1 | 31/17 |
| 49 | 1059 | 723.9 | 35/19 |
| 50 | 1080.7 | 738.6 | |
| 51 | 1102.3 | 753.4 | 17/9 |
| 52 | 1123.9 | 768.2 | |
| 53 | 1145.5 | 783 | 33/17 |
| 54 | 1167.1 | 797.7 | |
| 55 | 1188.7 | 812.5 | |
| 56 | 1210.3 | 827.3 | |
| 57 | 1231.9 | 842 | |
| 58 | 1253.6 | 856.8 | |
| 59 | 1275.2 | 871.6 | 23/11 |
| 60 | 1296.8 | 886.4 | |
| 61 | 1318.4 | 901.1 | 15/7 |
| 62 | 1340 | 915.9 | |
| 63 | 1361.6 | 930.7 | |
| 64 | 1383.2 | 945.5 | |
| 65 | 1404.9 | 960.2 | |
| 66 | 1426.5 | 975 | |
| 67 | 1448.1 | 989.8 | |
| 68 | 1469.7 | 1004.5 | 7/3 |
| 69 | 1491.3 | 1019.3 | 26/11 |
| 70 | 1512.9 | 1034.1 | |
| 71 | 1534.5 | 1048.9 | 17/7 |
| 72 | 1556.1 | 1063.6 | 27/11 |
| 73 | 1577.8 | 1078.4 | |
| 74 | 1599.4 | 1093.2 | |
| 75 | 1621 | 1108 | |
| 76 | 1642.6 | 1122.7 | |
| 77 | 1664.2 | 1137.5 | |
| 78 | 1685.8 | 1152.3 | |
| 79 | 1707.4 | 1167 | |
| 80 | 1729.1 | 1181.8 | 19/7 |
| 81 | 1750.7 | 1196.6 | |
| 82 | 1772.3 | 1211.4 | |
| 83 | 1793.9 | 1226.1 | 31/11 |
| 84 | 1815.5 | 1240.9 | |
| 85 | 1837.1 | 1255.7 | 26/9 |
| 86 | 1858.7 | 1270.5 | |
| 87 | 1880.3 | 1285.2 | |
| 88 | 1902 | 1300 | 3/1 |