3476edo

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← 3475edo 3476edo 3477edo →
Prime factorization 22 × 11 × 79
Step size 0.345224 ¢ 
Fifth 2033\3476 (701.841 ¢)
Semitones (A1:m2) 327:263 (112.9 ¢ : 90.79 ¢)
Consistency limit 7
Distinct consistency limit 7

Template:EDO intro

3476edo is consistent to the 7-odd-limit, though it has large errors on harmonics 3 and 7. In the 7-limit, it tempers out the skeetsma. Aside from this, it is a strong 2.5.11.17.23 subgroup tuning.

Odd harmonics

Approximation of odd harmonics in 3476edo
Harmonic 3 5 7 9 11 13 15 17 19 21 23
Error Absolute (¢) -0.114 -0.008 -0.126 +0.118 +0.005 +0.094 -0.121 -0.007 +0.070 +0.105 +0.034
Relative (%) -33.0 -2.2 -36.6 +34.1 +1.6 +27.2 -35.2 -2.1 +20.4 +30.5 +9.9
Steps
(reduced)
5509
(2033)
8071
(1119)
9758
(2806)
11019
(591)
12025
(1597)
12863
(2435)
13580
(3152)
14208
(304)
14766
(862)
15268
(1364)
15724
(1820)

Subsets and supersets

Since 3476 factors as 22 × 11 × 79, 3476edo has nontrivial subset edos 2, 4, 11, 22, 44, 79, 158, 316, 869, 1738.

10428edo, which divides the edostep in three, is consistent in the 21-odd-limit and corrects the harmonics 3 and 7.