32edt
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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.
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 |