376edo: Difference between revisions
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376edo is [[consistent]] up to the [[11-odd-limit]], but the error of the [[harmonic]] [[7/1|7]] is quite large, though it approximates the 5-limit very accurately. In the 5-limit, it [[support]]s [[gammic]], [[kwazy]], [[lafa]] and [[vulture]] temperaments. Using the [[patent val]] in the 11-limit, it supports the [[octoid]] temperament, and the rank-3 temperaments [[hades]], [[hanuman]], [[indra]] and [[thor]]. | 376edo is [[consistent]] up to the [[11-odd-limit]], but the error of the [[harmonic]] [[7/1|7]] is quite large, though it approximates the 5-limit very accurately. In the 5-limit, it [[support]]s [[gammic]], [[kwazy]], [[lafa]] and [[vulture]] temperaments. Using the [[patent val]] in the 11-limit, it supports the [[octoid]] temperament, and the rank-3 temperaments [[hades]], [[hanuman]], [[indra]] and [[thor]]. | ||
Latest revision as of 17:20, 20 February 2025
| ← 375edo | 376edo | 377edo → |
376 equal divisions of the octave (abbreviated 376edo or 376ed2), also called 376-tone equal temperament (376tet) or 376 equal temperament (376et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 376 equal parts of about 3.19 ¢ each. Each step represents a frequency ratio of 21/376, or the 376th root of 2.
376edo is consistent up to the 11-odd-limit, but the error of the harmonic 7 is quite large, though it approximates the 5-limit very accurately. In the 5-limit, it supports gammic, kwazy, lafa and vulture temperaments. Using the patent val in the 11-limit, it supports the octoid temperament, and the rank-3 temperaments hades, hanuman, indra and thor.
Prime harmonics
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.00 | +0.17 | -0.14 | +1.39 | +0.81 | -1.17 | +0.36 | -0.70 | +0.45 | +1.27 | +0.71 |
| Relative (%) | +0.0 | +5.4 | -4.5 | +43.5 | +25.4 | -36.5 | +11.4 | -22.1 | +14.1 | +39.9 | +22.2 | |
| Steps (reduced) |
376 (0) |
596 (220) |
873 (121) |
1056 (304) |
1301 (173) |
1391 (263) |
1537 (33) |
1597 (93) |
1701 (197) |
1827 (323) |
1863 (359) | |
Subsets and supersets
Since 376 factors into 23 × 47, 376edo has subset edos 2, 4, 8, 47, 94, and 188.