# 5ed5

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 ← 4ed5 5ed5 6ed5 →
Prime factorization 5 (prime)
Step size 557.263¢
Octave 2\5ed5 (1114.53¢)
(semiconvergent)
Twelfth 3\5ed5 (1671.79¢)
Consistency limit 4
Distinct consistency limit 2

## Theory

### Odd harmonics

Approximation of harmonics in 5ed5
Harmonic 2 3 4 5 6 7 8 9 10 11 12
Error Absolute (¢) -85 -230 -171 +0 +242 -25 -256 +97 -85 -250 +156
Relative (%) -15.3 -41.3 -30.7 +0.0 +43.4 -4.5 -46.0 +17.4 -15.3 -44.9 +28.0
Steps
(reduced)
2
(2)
3
(3)
4
(4)
5
(0)
6
(1)
6
(1)
6
(1)
7
(2)
7
(2)
7
(2)
8
(3)

## Interval table

Steps Cents Approximate Ratios
0 0 1/1, 21/20, 22/21, 26/25, 33/32, 40/39, 45/44, 50/49, 56/55, 64/63, 77/75, 78/77, 80/77
1 557.263 4/3, 7/5, 10/7, 11/8, 15/11, 16/11, 21/16, 35/26, 39/28, 45/32, 55/39, 55/42, 56/39, 63/44, 64/45, 65/49, 75/52, 75/56, 78/55
2 1114.53 2/1, 11/6, 13/7, 15/8, 20/11, 21/11, 25/13, 28/15, 39/20, 40/21, 49/25, 49/26, 55/28, 63/32, 64/33, 77/39, 77/40
3 1671.79 5/2, 8/3, 11/4, 13/5, 21/8, 28/11, 30/11, 35/13, 55/21, 75/28, 77/30
4 2229.05 7/2, 11/3, 15/4, 25/7, 26/7, 32/9, 39/11, 40/11, 42/11, 49/13, 52/15, 55/16, 56/15, 80/21
5 2786.31 5/1, 39/8, 44/9, 49/10, 77/16