622edo: Difference between revisions

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Created page with "{{Infobox ET}} {{EDO intro|622}} == Theory == {{Harmonics in equal|622|columns=12}} As the double of 311edo it provides much needed correction to harmonics such as the 43..."
 
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== Theory ==
== Theory ==
{{Harmonics in equal|622|columns=12}}
{{Harmonics in equal|622|columns=12}}
As the double of [[311edo]] it provides much needed correction to harmonics such as the 43rd harmonic, however, its consistency limit is drastically reduced compared to 311.
As the double of [[311edo]] it provides much needed correction to harmonics such as the 43rd harmonic, however, its consistency limit is drastically reduced compared to 311edo.

Revision as of 08:52, 16 June 2023

← 621edo 622edo 623edo →
Prime factorization 2 × 311
Step size 1.92926 ¢ 
Fifth 364\622 (702.251 ¢) (→ 182\311)
Semitones (A1:m2) 60:46 (115.8 ¢ : 88.75 ¢)
Consistency limit 7
Distinct consistency limit 7

Template:EDO intro

Theory

Approximation of prime harmonics in 622edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31 37
Error Absolute (¢) +0.000 +0.296 -0.462 -0.337 +0.451 +0.630 -0.775 -0.407 +0.665 +0.648 +0.945 -0.540
Relative (%) +0.0 +15.3 -23.9 -17.5 +23.4 +32.6 -40.2 -21.1 +34.4 +33.6 +49.0 -28.0
Steps
(reduced)
622
(0)
986
(364)
1444
(200)
1746
(502)
2152
(286)
2302
(436)
2542
(54)
2642
(154)
2814
(326)
3022
(534)
3082
(594)
3240
(130)

As the double of 311edo it provides much needed correction to harmonics such as the 43rd harmonic, however, its consistency limit is drastically reduced compared to 311edo.