15edf
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Prime factorization
3 × 5
Step size
46.797¢
Octave
26\15edf (1216.72¢)
Twelfth
41\15edf (1918.68¢)
Consistency limit
2
Distinct consistency limit
2
← 14edf | 15edf | 16edf → |
15EDF is the equal division of the just perfect fifth into 15 parts of 46.797 cents each, corresponding to 25.6427 edo (similar to every third step of 77edo). The 3edf~5edo correspondence has completely collapsed by this point, with this EDF being closer to 26edo than 25edo.
Intervals
degree | cents value | corresponding JI intervals |
comments |
---|---|---|---|
0 | exact 1/1 | ||
1 | 46.797 | ||
2 | 93.594 | 19/18 | |
3 | 140.391 | 13/12 | |
4 | 187.188 | 10/9 | |
5 | 233.985 | 8/7 | |
6 | 280.782 | 20/17 | |
7 | 327.579 | ||
8 | 374.376 | ||
9 | 421.173 | 51/40 | |
10 | 467.97 | 21/16 | |
11 | 514.767 | 27/20 | |
12 | 561.564 | 18/13 | |
13 | 608.361 | 27/19 | |
14 | 655.158 | ||
15 | 701.955 | exact 3/2 | just perfect fifth |
16 | 748.752 | ||
17 | 795.549 | 19/12 | |
18 | 842.346 | 13/8 | |
19 | 889.143 | 5/3 | |
20 | 935.94 | 12/7 | |
21 | 982.737 | 30/17 | |
22 | 1029.534 | ||
23 | 1076.331 | ||
24 | 1123.128 | 153/80 | |
25 | 1168.925 | 63/32 | |
26 | 1216.722 | 81/40 | |
27 | 1263.519 | 27/13 | |
28 | 1310.316 | 81/38 | |
29 | 1357.113 | ||
30 | 1403.91 | exact 9/4 |