3696edo

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← 3695edo 3696edo 3697edo →
Prime factorization 24 × 3 × 7 × 11
Step size 0.324675 ¢ 
Fifth 2162\3696 (701.948 ¢) (→ 1081\1848)
Semitones (A1:m2) 350:278 (113.6 ¢ : 90.26 ¢)
Consistency limit 17
Distinct consistency limit 17

Template:EDO intro

Theory

3696edo is consistent in the 17-odd-limit. It is also an excellent no-19s 29-limit tuning.

It is contorted in the 11-limit, sharing the mapping with 1848edo.

Harmonics

Approximation of prime harmonics in 3696edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.000 -0.007 +0.050 +0.005 -0.019 +0.057 -0.085 -0.110 -0.028 -0.032 +0.094
Relative (%) +0.0 -2.1 +15.4 +1.6 -5.9 +17.5 -26.3 -34.0 -8.5 -9.8 +29.0
Steps
(reduced)
3696
(0)
5858
(2162)
8582
(1190)
10376
(2984)
12786
(1698)
13677
(2589)
15107
(323)
15700
(916)
16719
(1935)
17955
(3171)
18311
(3527)