# 376edo

 ← 375edo 376edo 377edo →
Prime factorization 23 × 47
Step size 3.19149¢
Fifth 220\376 (702.128¢) (→55\94)
Semitones (A1:m2) 36:28 (114.9¢ : 89.36¢)
Consistency limit 11
Distinct consistency limit 11

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

Approximation of prime harmonics in 376edo
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.