415edt
| ← 414edt | 415edt | 416edt → |
415EDT is the equal division of the third harmonic into 415 parts of 4.5830cents each, corresponding to 261.8358 edo. It is notable for its impressive consistency records in very high no-evens throdd limits.
Harmonics
| Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | 25 | 27 | 29 | 31 | 33 | 35 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.00 | +0.16 | -0.30 | +0.00 | +0.90 | +0.42 | +0.16 | -1.12 | -1.19 | -0.30 | -1.97 | +0.33 | +0.00 | +0.03 | -0.85 | +0.90 | -0.14 |
| Relative (%) | +0.0 | +3.6 | -6.6 | +0.0 | +19.7 | +9.2 | +3.6 | -24.4 | -26.0 | -6.6 | -43.1 | +7.2 | +0.0 | +0.6 | -18.6 | +19.7 | -3.0 | |
| Steps (reduced) |
415 (0) |
608 (193) |
735 (320) |
830 (0) |
906 (76) |
969 (139) |
1023 (193) |
1070 (240) |
1112 (282) |
1150 (320) |
1184 (354) |
1216 (386) |
1245 (0) |
1272 (27) |
1297 (52) |
1321 (76) |
1343 (98) | |
| Harmonic | 37 | 39 | 41 | 43 | 45 | 47 | 49 | 51 | 53 | 55 | 57 | 59 | 61 | 63 | 65 | 67 | 69 | 71 | 73 | 75 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -0.10 | +0.42 | +0.92 | +0.96 | +0.16 | -1.79 | -0.61 | -1.12 | +1.03 | +1.07 | -1.19 | -1.31 | +0.55 | -0.30 | +0.59 | -1.46 | -1.97 | -1.03 | +1.29 | +0.33 |
| Relative (%) | -2.2 | +9.2 | +20.1 | +20.9 | +3.6 | -39.0 | -13.2 | -24.4 | +22.5 | +23.3 | -26.0 | -28.7 | +12.0 | -6.6 | +12.8 | -32.0 | -43.1 | -22.4 | +28.2 | +7.2 | |
| Steps (reduced) |
1364 (119) |
1384 (139) |
1403 (158) |
1421 (176) |
1438 (193) |
1454 (209) |
1470 (225) |
1485 (240) |
1500 (255) |
1514 (269) |
1527 (282) |
1540 (295) |
1553 (308) |
1565 (320) |
1577 (332) |
1588 (343) |
1599 (354) |
1610 (365) |
1621 (376) |
1631 (386) | |
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