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 (abbreviated 1244edo), or 1244-tone equal temperament (1244tet), 1244 equal temperament (1244et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 1244 equal parts of about 0.965 ¢ each. Each step of 1244edo represents a frequency ratio of 21/1244, or the 1244th root of 2.

As the quadruple of 311edo, 1244edo offers some correction to primes like 17, but just like with 622edo its consistency limit is drastically reduced when compared to 311edo.

Odd harmonics

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)