376edo

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← 375edo376edo377edo →
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.