| Prime factorization
|
52
|
| Step size
|
28.0782¢
|
| Octave
|
43\25edf (1207.36¢)
|
| Twelfth
|
68\25edf (1909.32¢)
|
| Consistency limit
|
2
|
| Distinct consistency limit
|
2
|
25EDF is the equal division of the just perfect fifth into 25 parts of 28.0782 cents each, corresponding to 42.7378 edo (similar to every fourth step of 171edo). It is related to the regular temperament which tempers out 703125/702464 and 5250987/5242880 in the 7-limit, which is supported by 43edo, 128edo, 171edo, 214edo, 299edo, and 385edo.
Lookalikes: 43edo, 68edt
Intervals
| degree
|
cents value
|
corresponding
JI intervals
|
comments
|
| 0
|
exact 1/1
|
|
| 1
|
28.0782
|
51/50
|
|
| 2
|
56.1564
|
26/25
|
|
| 3
|
84.2346
|
21/20
|
|
| 4
|
112.3128
|
16/15
|
|
| 5
|
140.391
|
13/12
|
|
| 6
|
168.4692
|
|
|
| 7
|
196.5474
|
28/25
|
|
| 8
|
224.6256
|
8/7
|
|
| 9
|
252.7038
|
|
|
| 10
|
280.782
|
20/17
|
|
| 11
|
308.8602
|
|
pseudo-6/5
|
| 12
|
336.9384
|
|
|
| 13
|
365.0166
|
|
|
| 14
|
393.0948
|
|
pseudo-5/4
|
| 15
|
421.173
|
51/40
|
|
| 16
|
449.2512
|
|
|
| 17
|
477.3294
|
|
|
| 18
|
505.4076
|
75/56
|
pseudo-4/3
|
| 19
|
533.4858
|
|
|
| 20
|
561.564
|
|
|
| 21
|
589.6422
|
45/32
|
|
| 22
|
617.7204
|
10/7
|
|
| 23
|
645.7986
|
|
|
| 24
|
673.8768
|
|
|
| 25
|
701.955
|
exact 3/2
|
just perfect fifth
|
| 26
|
730.033
|
153/100
|
|
| 27
|
757.1114
|
39/25
|
|
| 28
|
786.1896
|
63/40
|
|
| 29
|
814.2678
|
8/5
|
|
| 30
|
842.346
|
13/8
|
|
| 31
|
870.2452
|
|
|
| 32
|
898.5024
|
42/25
|
|
| 33
|
926.5806
|
12/7
|
|
| 34
|
954.6588
|
|
|
| 35
|
982.737
|
30/17
|
|
| 36
|
1010.8152
|
|
pseudo-9/5
|
| 37
|
1038.8934
|
|
|
| 38
|
1066.9716
|
|
|
| 39
|
1095.0498
|
|
pseudo-15/8
|
| 40
|
1123.128
|
153/80
|
|
| 41
|
1151.2062
|
|
|
| 42
|
1179.2844
|
|
|
| 43
|
1207.3526
|
225/112
|
pseudo-2/1
|
| 44
|
1235.4408
|
|
|
| 45
|
1263.519
|
|
|
| 46
|
1291.5972
|
135/64
|
|
| 47
|
1319.6754
|
15/7
|
|
| 48
|
1347.7536
|
|
|
| 49
|
1375.8318
|
|
|
| 50
|
1403.91
|
exact 9/4
|
|