5edf: Difference between revisions

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|[[21/13]], [[13/8]], [[18/11]]
|[[21/13]], [[13/8]], [[18/11]]
|C#, Db
|C#, Db
|augmented fifth, minor sixth
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|[[7/4]], [[30/17]]
|[[7/4]], [[30/17]]
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[[Category:Edf]]
[[Category:Edf]]
[[Category:Edonoi]]
[[Category:Edonoi]]

Revision as of 01:13, 9 March 2023

← 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.

Intervals

degree cents value octave-reduced cents value approximate ratios Neptunian notation
0 1/1 C perfect unison
1 140.391 13/12, 49/45 C#, Db augmented unison, minor second
2 280.782 75/64, 20/17, 13/11 D major second
3 421.173 14/11, 23/18 E major third
4 561.564 11/8, 18/13, 25/18 F major fourth
5 701.955 3/2 C perfect fifth
6 842.346 21/13, 13/8, 18/11 C#, Db augmented fifth, minor sixth
7 982.737 7/4, 30/17 D
8 1123.128 E
9 1263.519 63.519 F
10 1403.910 203.910 C
11 1544.301 344.301 C#, Db
12 1684.692 484.692 D
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