1944edo
| ← 1943edo | 1944edo | 1945edo → |
1944 equal divisions of the octave (1944edo), or 1944-tone equal temperament (1944tet), 1944 equal temperament (1944et) when viewed from a regular temperament perspective, is the tuning system that divides the octave into 1944 equal parts of about 0.617 ¢ each.
Theory
1944edo is consistent in the 5-limit to which it provides good approximation, and a near-perfect 15/8, but it is only consistent that far. In the 5-limit, it does temper out the luna comma, [38 -2 -15⟩. In the 1944d val in the 7-limit, it is a landscape system, tempering out 250047/250000, and as a consequence it tunes the 24th-octave chromium temperament.
In higher limits, 1944edo is a tuning for the Jamala temperament in the 2.5.11.13.19.41.47 subgroup, for which 1944edo provides good approximation (except for the 13th harmonic) and which is named after an artist who performed a song about the same year as the edo number. Overall, the best subgroup for 1944edo is 2.3.5.11.17.19.29.31.41.47.
Odd harmonics
| Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | absolute (¢) | -0.103 | +0.106 | -0.307 | -0.206 | -0.083 | +0.213 | +0.003 | -0.017 | +0.018 | +0.207 | +0.121 |
| relative (%) | -17 | +17 | -50 | -33 | -14 | +35 | +0 | -3 | +3 | +33 | +20 | |
| Steps (reduced) |
3081 (1137) |
4514 (626) |
5457 (1569) |
6162 (330) |
6725 (893) |
7194 (1362) |
7595 (1763) |
7946 (170) |
8258 (482) |
8539 (763) |
8794 (1018) | |
Regular temperament properties
Rank-2 temperaments
| Periods per 8ve |
Generator (reduced) |
Cents (reduced) |
Associated ratio | Temperaments |
|---|---|---|---|---|
| 1 | 313\1944 | 193.210 | 262144/234375 | Luna (5-limit) |
| 24 | 944\1944 (53\1944) |
582.716 (32.716) |
7/5 (?) |
Chromium (1944d) |
| 72 | 892\1944 (1\1944) |
550.617 (0.617) |
73205/53248 (?) |
Jamala |