14ed6: Difference between revisions

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Created page with "{{Infobox ET}} '''14ed6''' is the equal division of the sixth harmonic in to 14 parts of 221.5682 cents each, corresponding to 5.4159 edo. It is related to th..."
 
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[[Category:Ed6]]
[[Category:Ed6]]
[[Category:Edonoi]]
[[Category:Edonoi]]

Revision as of 09:40, 9 February 2025

← 13ed6 14ed6 15ed6 →
Prime factorization 2 × 7
Step size 221.568 ¢ 
Octave 5\14ed6 (1107.84 ¢)
Twelfth 9\14ed6 (1994.11 ¢)
Consistency limit 2
Distinct consistency limit 2

14ed6 is the equal division of the sixth harmonic in to 14 parts of 221.5682 cents each, corresponding to 5.4159 edo. It is related to the hemisensi temperament.

Intervals

Steps Cents Approximate ratios
0 0 1/1
1 221.6 23/20
2 443.1 13/10, 17/13, 22/17
3 664.7 19/13
4 886.3 5/3
5 1107.8 19/10, 21/11, 23/12
6 1329.4 13/6
7 1551 17/7
8 1772.5
9 1994.1 19/6, 22/7
10 2215.7 18/5
11 2437.3
12 2658.8
13 2880.4
14 3102 6/1

Harmonics

Approximation of harmonics in 14ed6
Harmonic 2 3 4 5 6 7 8 9 10 11 12
Error Absolute (¢) -92.2 +92.2 +37.3 +94.1 +0.0 -45.3 -54.9 -37.3 +1.9 +58.5 -92.2
Relative (%) -41.6 +41.6 +16.8 +42.5 +0.0 -20.4 -24.8 -16.8 +0.9 +26.4 -41.6
Steps
(reduced)
5
(5)
9
(9)
11
(11)
13
(13)
14
(0)
15
(1)
16
(2)
17
(3)
18
(4)
19
(5)
19
(5)
Approximation of prime harmonics in 14ed6
Harmonic 37 41 43 47 53 59 61 67 71 73 79
Error Absolute (¢) -47.4 -3.6 -86.0 -18.5 -4.9 +31.0 -26.7 +32.4 -67.9 +105.5 -31.2
Relative (%) -21.4 -1.6 -38.8 -8.3 -2.2 +14.0 -12.1 +14.6 -30.7 +47.6 -14.1
Steps
(reduced)
28
(0)
29
(1)
29
(1)
30
(2)
31
(3)
32
(4)
32
(4)
33
(5)
33
(5)
34
(6)
34
(6)