Prime factorization
|
5 (prime)
|
Step size
|
140.391 ¢
|
Octave
|
9\5edf (1263.52 ¢)
|
Twelfth
|
14\5edf (1965.47 ¢)
|
Consistency limit
|
3
|
Distinct consistency limit
|
3
|
5EDF is the equal division of the just perfect fifth into five parts of 140.391 cents each, corresponding to 8.5476 edo. It is close to the Bleu generator chain and every second step of 17edo. 4 steps of 5edf is a fraction of a cent away to the seventh harmonic (which is 112/81 instead of 7/4 since the equave is 3/2), which is an extremely accurate approximation for the size of this scale.
Intervals
degree
|
cents value
|
octave-reduced cents value
|
approximate ratios
|
Neptunian notation
|
0
|
|
1/1
|
perfect unison
|
C
|
1
|
140.391
|
|
13/12, 49/45
|
augmented unison, minor second
|
C#, Db
|
2
|
280.782
|
|
75/64, 20/17, 13/11
|
major second, minor third
|
D, Eb
|
3
|
421.173
|
|
14/11, 23/18
|
major third, diminished fourth
|
E, Fb
|
4
|
561.564
|
|
11/8, 18/13, 25/18
|
perfect fourth
|
F
|
5
|
701.955
|
|
3/2
|
perfect fifth
|
C
|
6
|
842.346
|
|
21/13, 13/8, 18/11
|
augmented fifth, minor sixth
|
C#, Db
|
7
|
982.737
|
|
7/4, 30/17
|
major sixth, minor seventh
|
D, Eb
|
|
8
|
1123.128
|
|
|
major seventh, minor octave
|
E, Fb
|
|
9
|
1263.519
|
63.519
|
|
major octave
|
F
|
10
|
1403.910
|
203.910
|
|
|
C
|
11
|
1544.301
|
344.301
|
|
|
C#, Db
|
12
|
1684.692
|
484.692
|
|
|
D, Eb
|
13
|
1825.083
|
625.083
|
|
|
E
|
14
|
1965.474
|
765.474
|
|
|
F
|
15
|
2105.865
|
905.865
|
|
|
C
|
16
|
2246.256
|
1046.256
|
|
|
C#, Db
|
17
|
2386.647
|
1186.647
|
|
|
D
|