11ed5

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← 10ed5 11ed5 12ed5 →
Prime factorization 11 (prime)
Step size 253.301¢ 
Octave 5\11ed5 (1266.51¢)
Twelfth 8\11ed5 (2026.41¢)
Consistency limit 3
Distinct consistency limit 2

11ED5 is the equal division of the 5th harmonic into 11 parts of 252.3012 cents each. It is related to the godzilla temperament, which tempers out 49/48, 81/80, and 91/90 in the 2.3.5.7.13 subgroup.

Intervals

degree cents value corresponding
JI intervals
comments
0 0.0000 exact 1/1
1 253.3012 8/7, 15/13, 7/6
2 506.6025 4/3
3 759.9037 14/9
4 1013.2050 9/5
5 1266.5062 27/13, 25/12, 21/10
6 1519.8075 12/5
7 1773.1087 14/5
8 2026.4100 16/5, 13/4
9 2279.7112 15/4
10 2533.0125 30/7, 13/3, 35/8
11 2786.3137 exact 5/1 just major third plus two octaves

Harmonics

Approximation of harmonics in 11ed5
Harmonic 2 3 4 5 6 7 8 9 10 11 12
Error Absolute (¢) +67 +124 -120 +0 -62 -76 -54 -4 +67 -98 +4
Relative (%) +26.3 +49.1 -47.5 +0.0 -24.6 -30.0 -21.2 -1.7 +26.3 -38.9 +1.6
Steps
(reduced)
5
(5)
8
(8)
9
(9)
11
(0)
12
(1)
13
(2)
14
(3)
15
(4)
16
(5)
16
(5)
17
(6)
Approximation of harmonics in 11ed5
Harmonic 13 14 15 16 17 18 19 20 21 22 23
Error Absolute (¢) +119 -9 +124 +13 -92 +62 -31 -120 +49 -32 -109
Relative (%) +46.9 -3.7 +49.1 +5.0 -36.4 +24.5 -12.4 -47.5 +19.2 -12.6 -43.0
Steps
(reduced)
18
(7)
18
(7)
19
(8)
19
(8)
19
(8)
20
(9)
20
(9)
20
(9)
21
(10)
21
(10)
21
(10)