1419edo

Revision as of 09:18, 31 October 2023 by FloraC (talk | contribs) (+subsets and supersets; misc. cleanup)
← 1418edo 1419edo 1420edo →
Prime factorization 3 × 11 × 43
Step size 0.845666 ¢ 
Fifth 830\1419 (701.903 ¢)
Semitones (A1:m2) 134:107 (113.3 ¢ : 90.49 ¢)
Consistency limit 25
Distinct consistency limit 25

Template:EDO intro

1419edo is consistent in the 25-odd-limit, and with excellent representation of 31/16 it is a strong no-29's 37-limit tuning. It is also an impressive system in even higher limits, with good tunings on harmonics 43, 47, and 53.

Prime harmonics

Approximation of prime harmonics in 1419edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.000 -0.052 +0.156 +0.307 +0.056 +0.064 -0.093 +0.161 +0.055 -0.402 -0.004
Relative (%) +0.0 -6.2 +18.4 +36.3 +6.7 +7.6 -11.0 +19.1 +6.6 -47.5 -0.5
Steps
(reduced)
1419
(0)
2249
(830)
3295
(457)
3984
(1146)
4909
(652)
5251
(994)
5800
(124)
6028
(352)
6419
(743)
6893
(1217)
7030
(1354)

Subsets and supersets

Since 1419 factors into 3 × 11 × 43, 1419edo has subset edos 3, 11, 33, 43, 129, and 473.