5edf: Difference between revisions

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!octave-reduced cents value
!octave-reduced cents value
!approximate ratios
!approximate ratios
![[1L 3s (fifth-equivalent|Neptunian]] notation
![[1L 3s (fifth-equivalent)|Neptunian]] notation
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Revision as of 03:31, 4 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
1 140.391 13/12, 49/45 C#, Db
2 280.782 75/64, 20/17, 13/11 D
3 421.173 14/11, 23/18 E
4 561.564 11/8, 18/13, 25/18 F
5 701.955 3/2
6 842.346 21/13, 13/8, 18/11
7 982.737 7/4, 30/17
8 1123.128
second octave
9 1263.519 63.519
10 1403.910 203.910
nonet
11 1544.301 344.301
12 1684.692 484.692
13 1825.083 625.083
14 1965.474 765.474
15 2105.865 905.865
16 2246.256 1046.256
17 2386.647 1186.647