622edo: Difference between revisions

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=== Prime harmonics ===
=== Prime harmonics ===
{{Harmonics in equal|622|columns=12}}
{{Harmonics in equal|622|columns=14}}

Revision as of 21:42, 26 January 2024

← 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 41 43
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 -0.767 -0.264
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 -39.7 -13.7
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)
3332
(222)
3375
(265)