381edo

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Revision as of 14:11, 9 November 2023 by FloraC (talk | contribs) (Adopt template: EDO intro; +prime error table; +subsets and supersets; -redundant categories)
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← 380edo 381edo 382edo →
Prime factorization 3 × 127
Step size 3.14961 ¢ 
Fifth 223\381 (702.362 ¢)
Semitones (A1:m2) 37:28 (116.5 ¢ : 88.19 ¢)
Consistency limit 13
Distinct consistency limit 13

Template:EDO intro

381edo is consistent to the 13-odd-limit with a sharp tendency. The equal temperament tempers out the vulture comma, [24 -21 4, in the 5-limit and 6144/6125 (porwell comma) and 250047/250000 (landscape comma) in the 7-limit. It provides the optimal patent val for the porwell planar temperament tempering out 6144/6125, and nessafof, the 99 & 282 temperament tempering out it and the landscape comma 250047/250000.

Prime harmonics

Approximation of prime harmonics in 381edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.00 +0.41 +1.09 +1.25 -0.14 +0.42 -1.02 -1.45 -1.50 +0.34 +1.42
Relative (%) +0.0 +12.9 +34.5 +39.8 -4.3 +13.2 -32.3 -46.0 -47.7 +10.9 +45.1
Steps
(reduced)
381
(0)
604
(223)
885
(123)
1070
(308)
1318
(175)
1410
(267)
1557
(33)
1618
(94)
1723
(199)
1851
(327)
1888
(364)

Subsets and supersets

Since 381 factors into 3 × 127, 381edo contains 3edo and 127edo as subsets.