1244edo

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← 1243edo1244edo1245edo →
Prime factorization 22 × 311
Step size 0.96463¢
Fifth 728\1244 (702.251¢) (→182\311)
Semitones (A1:m2) 120:92 (115.8¢ : 88.75¢)
Consistency limit 3
Distinct consistency limit 3

1244 equal divisions of the octave (1244edo), or 1244-tone equal temperament (1244tet), 1244 equal temperament (1244et) when viewed from a regular temperament perspective, is the tuning system that divides the octave into 1244 equal parts of about 0.965 ¢ each.

Theory

Approximation of odd harmonics in 1244edo
Harmonic 3 5 7 9 11 13 15 17 19 21 23 25
Error absolute (¢) +0.296 -0.462 -0.337 -0.373 +0.451 -0.335 -0.166 +0.189 -0.407 -0.041 -0.300 +0.041
relative (%) +31 -48 -35 -39 +47 -35 -17 +20 -42 -4 -31 +4
Steps
(reduced)
1972
(728)
2888
(400)
3492
(1004)
3943
(211)
4304
(572)
4603
(871)
4860
(1128)
5085
(109)
5284
(308)
5464
(488)
5627
(651)
5777
(801)

As the quadruple of 311edo, it offers some correction to primes like 17, but just like with 622edo it's consistency limit is drastically reduced when compared to 311edo.