1590edo

Revision as of 15:27, 14 December 2023 by Aura (talk | contribs) (Created page with "{{Infobox ET}} {{EDO intro|1590}} == Theory == 1590edo divides the steps of 159edo into 10, but unfortunately, it only has a consistency limit of 9. === Prime harmonics ===...")
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← 1589edo 1590edo 1591edo →
Prime factorization 2 × 3 × 5 × 53
Step size 0.754717 ¢ 
Fifth 930\1590 (701.887 ¢) (→ 31\53)
Semitones (A1:m2) 150:120 (113.2 ¢ : 90.57 ¢)
Consistency limit 9
Distinct consistency limit 9

Theory

1590edo divides the steps of 159edo into 10, but unfortunately, it only has a consistency limit of 9.

Prime harmonics

Approximation of prime harmonics in 15900edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.0000 +0.0073 +0.0259 +0.0043 +0.0028 +0.0006 +0.0257 -0.0036 +0.0275 +0.0077 +0.0210
Relative (%) +0.0 +9.6 +34.3 +5.7 +3.7 +0.8 +34.1 -4.7 +36.5 +10.2 +27.9
Steps
(reduced)
15900
(0)
25201
(9301)
36919
(5119)
44637
(12837)
55005
(7305)
58837
(11137)
64991
(1391)
67542
(3942)
71925
(8325)
77242
(13642)
78772
(15172)