1419edo
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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
| ← 1418edo | 1419edo | 1420edo → |
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
| 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) | |