583edo: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
BudjarnLambeth (talk | contribs)
mNo edit summary
Adopt template: EDO intro; cleanup;-redundant categories
Line 1: Line 1:
{{Infobox ET}}
{{Infobox ET}}
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 [[cent]]s each.
{{EDO intro|583}}


== Theory ==
This system apparently is at its best in the 2.3.11.17 subgroup. It also [[support]]s [[iodine]] up to the 11-limit, or using the 583f val, up to the 17-limit.
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.


=== Prime harmonics ===
{{Harmonics in equal|583|columns=12}}
{{Harmonics in equal|583|columns=12}}
[[Category:Equal divisions of the octave|###]] <!-- 3-digit number -->

Revision as of 09:43, 25 October 2023

← 582edo 583edo 584edo →
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

Template:EDO intro

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 (%) +0.0 -3.3 +31.6 +31.2 +15.1 -35.6 +0.9 +45.8 -23.7 -20.3 -29.6 -11.1
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)