246edo

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Revision as of 03:32, 24 June 2023 by BudjarnLambeth (talk | contribs) (Added "harmonics in equal" table)
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← 245edo 246edo 247edo →
Prime factorization 2 × 3 × 41
Step size 4.87805 ¢ 
Fifth 144\246 (702.439 ¢) (→ 24\41)
Semitones (A1:m2) 24:18 (117.1 ¢ : 87.8 ¢)
Consistency limit 5
Distinct consistency limit 5

246edo divides the 2/1 (octave) into 246 equal steps of 4.878 cents.

The patent val offers excellent approximations (within half a cent) of primes 3, 11, 19, and 29, and quite good approximations (within one cent) of primes 5 and 23.

Harmonics

Approximation of prime harmonics in 246edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.00 +0.48 -0.95 +1.91 -0.10 -1.50 +2.36 +0.05 +0.99 -0.31 +1.31
Relative (%) +0.0 +9.9 -19.4 +39.1 -2.0 -30.8 +48.4 +1.0 +20.4 -6.3 +26.8
Steps
(reduced)
246
(0)
390
(144)
571
(79)
691
(199)
851
(113)
910
(172)
1006
(22)
1045
(61)
1113
(129)
1195
(211)
1219
(235)

Scales