4190edo

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← 4189edo4190edo4191edo →
Prime factorization 2 × 5 × 419
Step size 0.286396¢ 
Fifth 2451\4190 (701.957¢)
Semitones (A1:m2) 397:315 (113.7¢ : 90.21¢)
Consistency limit 15
Distinct consistency limit 15
Special properties

4190 equal divisions of the octave (abbreviated 4190edo or 4190ed2), also called 4190-tone equal temperament (4190tet) or 4190 equal temperament (4190et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 4190 equal parts of about 0.286 ¢ each. Each step represents a frequency ratio of 21/4190, or the 4190th root of 2.

4190edo is notable for being a zeta gap edo. It is fairly strong in the 13-limit and the 4190g val does well if not outstandingly in a number of higher limits.

Prime harmonics

Approximation of prime harmonics in 4190edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.000 +0.002 +0.035 +0.052 -0.005 +0.045 -0.134 +0.053 +0.079 +0.017 -0.024
Relative (%) +0.0 +0.7 +12.1 +18.3 -1.8 +15.8 -46.9 +18.4 +27.5 +6.0 -8.3
Steps
(reduced)
4190
(0)
6641
(2451)
9729
(1349)
11763
(3383)
14495
(1925)
15505
(2935)
17126
(366)
17799
(1039)
18954
(2194)
20355
(3595)
20758
(3998)

Divisors

Since 4190 factors into 2 × 5 × 419, 4190edo has subset edos 2, 5, 10, 419, 838, and 2095.