32edt
| ← 31edt | 32edt | 33edt → |
32EDT is the equal division of the third harmonic into 32 parts of 59.4361 cents each, corresponding to 20.1898 edo. It has a distinct sharp tendency, in the sense that if 3 is pure, 5, 7, 11, 13, 17, and 19 are all sharp. It tempers out 3125/3087 and 885735/823543 in the 7-limit; 891/875, 1331/1323, and 2475/2401 in the 11-limit; 275/273, 351/343, 729/715, and 847/845 in the 13-limit; 121/119, 189/187, 225/221, 459/455, and 845/833 in the 17-limit; 135/133, 171/169, 247/245, 325/323, and 363/361 in the 19-limit (no-twos subgroup). It is the eighth zeta peak tritave division.
Harmonics
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +1.2 | +0.0 | +16.6 | +34.7 | -47.1 | -36.0 | +0.1 | +7.7 | -22.7 | -23.6 | -39.0 |
| Relative (%) | +1.2 | +0.0 | +16.6 | +34.6 | -47.1 | -36.0 | +0.1 | +7.7 | -22.7 | -23.6 | -38.9 | |
| Steps (reduced) |
12 (12) |
19 (0) |
28 (9) |
34 (15) |
41 (3) |
44 (6) |
49 (11) |
51 (13) |
54 (16) |
58 (1) |
59 (2) | |
| Harmonic | 37 | 41 | 43 | 47 | 53 | 59 | 61 | 67 | 71 | 73 | 79 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -45.0 | -22.5 | -4.8 | +41.4 | +33.6 | +48.1 | -9.6 | +28.2 | +27.9 | -20.2 | +43.3 |
| Relative (%) | -44.9 | -22.5 | -4.8 | +41.3 | +33.6 | +48.1 | -9.6 | +28.2 | +27.9 | -20.2 | +43.2 | |
| Steps (reduced) |
62 (5) |
64 (7) |
65 (8) |
67 (10) |
69 (12) |
71 (14) |
71 (14) |
73 (16) |
74 (17) |
74 (17) |
76 (0) | |
Intervals
| step | cents | hekts |
|---|---|---|
| 1 | 59.436 | 40.625 |
| 2 | 118.872 | 81.25 |
| 3 | 178.308 | 121.875 |
| 4 | 237.744 | 162.5 |
| 5 | 297.180 | 203.125 |
| 6 | 356.617 | 243.75 |
| 7 | 416.053 | 284.375 |
| 8 | 475.489 | 325 |
| 9 | 534.925 | 365.625 |
| 10 | 594.361 | 406.25 |
| 11 | 653.797 | 446.875 |
| 12 | 713.233 | 487.5 |
| 13 | 772.669 | 528.125 |
| 14 | 832.105 | 568.75 |
| 15 | 891.541 | 609.375 |
| 16 | 950.978 | 650 |
| 17 | 1010.414 | 690.625 |
| 18 | 1069.85 | 731.25 |
| 19 | 1129.286 | 774.875 |
| 20 | 1188.722 | 812.5 |
| 21 | 1248.158 | 853.125. |
| 22 | 1307.594 | 893.75 |
| 23 | 1367.03 | 934.375 |
| 24 | 1426.466 | 975 |
| 25 | 1485.902 | 1015.625 |
| 26 | 1545.338 | 1056.25 |
| 27 | 1604.775 | 1096.875 |
| 28 | 1664.211 | 1137.5 |
| 29 | 1723.647 | 1178.125 |
| 30 | 1783.083 | 1218.75 |
| 31 | 1842.519 | 1259.375 |
| 32 | 1901.955 | 1300 |