376edo: Difference between revisions

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[[Category:376edo]]
[[Category:376edo]]
[[Category:Equal divisions of the octave]]
[[Category:Equal divisions of the octave]]
[[Category:Gammic]]
[[Category:Hades]]
[[Category:Hanuman]]
[[Category:Indra]]
[[Category:Kwazy]]
[[Category:Lafa]]
[[Category:Octoid]]
[[Category:Octoid]]
[[Category:Thor]]
[[Category:Vulture]]

Revision as of 01:21, 3 May 2023

← 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

Template:EDO intro

It approximates the 5-limit very accurately. In the 5-limit, it supports Gammic, Kwazy, Lafa and Vulture temperaments. It could also be viewed as a tuning for the 2.3.5.17 subgroup, in which it supports the 2.3.5.17 extensions of Gammic and Kwazy.

376edo is consistent up to the 11-limit. In the 11-limit, it supports the rank 2 Octoid temperament, and the rank 3 temperaments Hades, Hanuman, Indra and Thor.

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)