622edo: Difference between revisions

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{{EDO intro|622}}
{{EDO intro|622}}


== Theory ==
As the double of [[311edo]] it provides much needed correction to harmonics such as the 43rd harmonic. However, its [[consistency|consistency limit]] is drastically reduced compared to 311edo.
 
=== Prime harmonics ===
{{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 311edo.

Revision as of 07:56, 25 October 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

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.

Prime harmonics

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)