583edo

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← 582edo583edo584edo →
Prime factorization 11 × 53
Step size 2.05832¢
Fifth 341\583 (701.887¢) (→31\53)
Semitones (A1:m2) 55:44 (113.2¢ : 90.57¢)
Consistency limit 11
Distinct consistency limit 11

The 583 equal divisions of the octave (583edo), or the 583(-tone) equal temperament (583tet, 583et) when viewed from a regular temperament perspective, divides the octave into 583 equal parts of about 2.06 cents each.

Theory

This system apparently is at its best in the 2.3.11.17 subgroup. It also supports Iodine up to the 11-limit, but no further.


Approximation of prime harmonics in 583edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31 37
Error absolute (¢) +0.000 -0.068 +0.650 +0.642 +0.312 -0.733 +0.019 +0.943 -0.487 -0.418 -0.610 -0.229
relative (%) +0 -3 +32 +31 +15 -36 +1 +46 -24 -20 -30 -11
Steps
(reduced)
583
(0)
924
(341)
1354
(188)
1637
(471)
2017
(268)
2157
(408)
2383
(51)
2477
(145)
2637
(305)
2832
(500)
2888
(556)
3037
(122)