3ed5

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← 2ed53ed54ed5 →
Prime factorization 3 (prime)
Step size 928.771¢ 
Octave 1\3ed5 (928.771¢)
(semiconvergent)
Twelfth 2\3ed5 (1857.54¢)
(convergent)
Consistency limit 3
Distinct consistency limit 2

Theory

Odd harmonics

Approximation of harmonics in 3ed5
Harmonic 2 3 4 5 6 7 8 9 10 11 12
Error Absolute (¢) -271 -44 +386 +0 -316 +346 +115 -89 -271 -436 +342
Relative (%) -29.2 -4.8 +41.6 +0.0 -34.0 +37.3 +12.4 -9.6 -29.2 -47.0 +36.8
Steps
(reduced)
1
(1)
2
(2)
3
(0)
3
(0)
3
(0)
4
(1)
4
(1)
4
(1)
4
(1)
4
(1)
5
(2)

Interval table

Steps Cents Approximate Ratios
0 0 1/1, 12/11, 14/13, 15/14, 26/25, 27/25, 27/26, 28/27, 55/52, 55/54, 56/55, 65/63, 77/75, 78/77, 81/77
1 928.771 5/3, 9/5, 11/6, 13/7, 18/11, 20/11, 21/13, 25/14, 26/15, 28/15, 33/20, 39/25, 42/25, 45/26, 45/28, 50/27, 52/33, 56/33, 70/39, 77/45, 81/50
2 1857.542 3/1, 11/4, 14/5, 25/9, 26/9, 27/10, 28/9, 30/11, 35/13, 39/14, 55/18, 65/21, 75/26, 75/28, 77/25, 77/26, 77/27, 78/25, 81/26, 81/28
3 2786.314 5/1, 14/3, 52/11, 54/11, 55/12, 63/13, 65/14