3558edo: Difference between revisions

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Revision as of 19:05, 25 December 2024

← 3557edo 3558edo 3559edo →
Prime factorization 2 × 3 × 593
Step size 0.337268 ¢ 
Fifth 2081\3558 (701.855 ¢)
Semitones (A1:m2) 335:269 (113 ¢ : 90.73 ¢)
Consistency limit 5
Distinct consistency limit 5

Template:EDO intro

Theory

3558edo is only consistent to the 5-odd-limit.

Odd harmonics

Approximation of odd harmonics in 3558edo
Harmonic 3 5 7 9 11 13 15 17 19 21 23
Error Absolute (¢) -0.100 -0.142 +0.145 +0.137 +0.115 -0.055 +0.096 -0.065 -0.043 +0.045 +0.056
Relative (%) -29.7 -42.0 +43.1 +40.7 +34.2 -16.5 +28.3 -19.3 -12.6 +13.5 +16.7
Steps
(reduced)
5639
(2081)
8261
(1145)
9989
(2873)
11279
(605)
12309
(1635)
13166
(2492)
13901
(3227)
14543
(311)
15114
(882)
15628
(1396)
16095
(1863)

Subsets and supersets

Since 3558 factors into 2 × 3 × 593, 3558edo has subset edos 2, 3, 6, 593, 1186, and 1779.

Scales

Some MOS scales: