| Prime factorization
|
25
|
| Step size
|
59.4361¢
|
| Octave
|
20\32edt (1188.72¢) (→5\8edt)
|
| Consistency limit
|
4
|
| Distinct consistency limit
|
4
|
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
|