5edf: Difference between revisions

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Line 43: Line 43:
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|[[3/2]]
|[[3/2]]
|C
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|6
|6
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|[[21/13]], [[13/8]], [[18/11]]
|[[21/13]], [[13/8]], [[18/11]]
|C#, Db
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|7
|7
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|[[7/4]], [[30/17]]
|[[7/4]], [[30/17]]
|D
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|8
|8
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|E
! colspan="4" |second octave
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|9
|9
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|63.519
|63.519
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|F
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|10
|10
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|203.910
|203.910
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|C
! colspan="4" |nonet
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|11
|11
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|344.301
|344.301
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|C#, Db
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|12
|12
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|484.692
|484.692
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|D
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|13
|13
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|625.083
|625.083
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|E
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|14
|14
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|765.474
|765.474
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|F
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|15
|15
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|905.865
|905.865
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|C
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|16
|16
|2246.256
|2246.256
|1046.256
|1046.256
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Revision as of 03:32, 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 C
6 842.346 21/13, 13/8, 18/11 C#, Db
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
17 2386.647 1186.647