380edo

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Revision as of 14:14, 9 November 2023 by FloraC (talk | contribs) (Adopt template: EDO intro; +prime error table; +subsets and supersets; -redundant categories)
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← 379edo 380edo 381edo →
Prime factorization 22 × 5 × 19
Step size 3.15789 ¢ 
Fifth 222\380 (701.053 ¢) (→ 111\190)
Semitones (A1:m2) 34:30 (107.4 ¢ : 94.74 ¢)
Consistency limit 5
Distinct consistency limit 5

Template:EDO intro

Theory

380edo notably provides the optimal patent val for the 2.3.11 subgroup neutral temperament. It has particularly accurate approximations of primes 23 and 29. Approximations of 7, 13, 17, and 19 are also very good.

neutral_380edo.png
Neutral in 380edo

Odd harmonics

Approximation of odd harmonics in 380edo
Harmonic 3 5 7 9 11 13 15 17 19 21 23
Error Absolute (¢) -0.90 -1.05 +0.65 +1.35 +1.31 -0.53 +1.20 -0.74 -0.67 -0.25 +0.15
Relative (%) -28.6 -33.3 +20.5 +42.8 +41.6 -16.7 +38.2 -23.6 -21.2 -8.1 +4.6
Steps
(reduced)
602
(222)
882
(122)
1067
(307)
1205
(65)
1315
(175)
1406
(266)
1485
(345)
1553
(33)
1614
(94)
1669
(149)
1719
(199)

Subsets and supersets

Since 380 factors into 22 × 5 × 19, 380edo has subset edos 2, 4, 5, 10, 19, 20, 38, 76, 95, and 190.

Scales