1419edo

From Xenharmonic Wiki
Jump to navigation Jump to search
← 1418edo1419edo1420edo →
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

1419 equal divisions of the octave (1419edo), or 1419-tone equal temperament (1419tet), 1419 equal temperament (1419et) when viewed from a regular temperament perspective, is the tuning system that divides the octave into 1419 equal parts of about 0.846 ¢ each.

1419edo is consistent in the 25-odd-limit, and with excellent representation of 31/16 it is a strong no-29s 37-limit tuning. It is also an impressive system in even higher limits, with good tunings on 2.43.47.53 subgroup.

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 -6 +18 +36 +7 +8 -11 +19 +7 -48 -0
Steps
(reduced)
1419
(0)
2249
(830)
3295
(457)
3984
(1146)
4909
(652)
5251
(994)
5800
(124)
6028
(352)
6419
(743)
6893
(1217)
7030
(1354)