1376edo
| ← 1375edo | 1376edo | 1377edo → |
1376 equal divisions of the octave (abbreviated 1376edo or 1376ed2), also called 1376-tone equal temperament (1376tet) or 1376 equal temperament (1376et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 1376 equal parts of about 0.872 ¢ each. Each step represents a frequency ratio of 21/1376, or the 1376th root of 2.
1376edo is consistent in the 15-odd-limit and it is an exceptional 7-limit system.
1376edo supports semidimi. It also supports alphatricot and its 7-limit extension alphatrillium. It suppots 7-limit very high accuracy temperaments [0 -11 -7 12⟩, [1 -15 -18 23⟩, [-1 4 11 -11⟩. It also supports the 32nd-octave temperament germanium, 224 & 1376.
In higher limits, a precise extension can be used for 2.3.5.7.31, or various satisfactory add-19 extensions.
Prime harmonics
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.000 | +0.080 | +0.023 | +0.069 | -0.155 | +0.170 | -0.304 | -0.129 | -0.367 | +0.365 | +0.023 |
| Relative (%) | +0.0 | +9.2 | +2.7 | +8.0 | -17.8 | +19.5 | -34.9 | -14.8 | -42.1 | +41.8 | +2.6 | |
| Steps (reduced) |
1376 (0) |
2181 (805) |
3195 (443) |
3863 (1111) |
4760 (632) |
5092 (964) |
5624 (120) |
5845 (341) |
6224 (720) |
6685 (1181) |
6817 (1313) | |
Since 1376 factors as 25 × 43, 1376edo has subset edos 1, 2, 4, 8, 16, 32, 43, 86, 172, 344, 688.