5edf

Revision as of 13:18, 7 May 2024 by FloraC (talk | contribs) (-irrelevant shit)
← 4edf 5edf 6edf →
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