583edo

From Xenharmonic Wiki
Jump to navigation Jump to search
← 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

583 equal divisions of the octave (abbreviated 583edo), or 583-tone equal temperament (583tet), 583 equal temperament (583et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 583 equal parts of about 2.06 ¢ each. Each step of 583edo represents a frequency ratio of 21/583, or the 583rd root of 2.

This system apparently is at its best in the 2.3.11.17 subgroup. It also supports iodine up to the 11-limit, or using the 583f val, up to the 17-limit.

Prime harmonics

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)

Subsets and supersets

Since 583 factors into 11 × 53, 583edo contains 11edo and 53edo as subsets.