1244edo: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
BudjarnLambeth (talk | contribs)
mNo edit summary
m Section title
Line 2: Line 2:
{{EDO intro|1244}}
{{EDO intro|1244}}


== Theory ==
As the quadruple of [[311edo]], 1244edo offers some correction to primes like 17, but just like with [[622edo]] its [[consistency|consistency limit]] is drastically reduced when compared to 311edo.
 
=== Odd harmonics ===
{{Harmonics in equal|1244|columns=12}}
{{Harmonics in equal|1244|columns=12}}
As the quadruple of [[311edo]], it offers some correction to primes like 17, but just like with [[622edo]] it's consistency limit is drastically reduced when compared to 311edo.

Revision as of 12:55, 17 October 2023

← 1243edo 1244edo 1245edo →
Prime factorization 22 × 311
Step size 0.96463 ¢ 
Fifth 728\1244 (702.251 ¢) (→ 182\311)
Semitones (A1:m2) 120:92 (115.8 ¢ : 88.75 ¢)
Consistency limit 3
Distinct consistency limit 3

Template:EDO intro

As the quadruple of 311edo, 1244edo offers some correction to primes like 17, but just like with 622edo its consistency limit is drastically reduced when compared to 311edo.

Odd harmonics

Approximation of odd harmonics in 1244edo
Harmonic 3 5 7 9 11 13 15 17 19 21 23 25
Error Absolute (¢) +0.296 -0.462 -0.337 -0.373 +0.451 -0.335 -0.166 +0.189 -0.407 -0.041 -0.300 +0.041
Relative (%) +30.7 -47.9 -35.0 -38.7 +46.7 -34.7 -17.2 +19.6 -42.2 -4.3 -31.1 +4.3
Steps
(reduced)
1972
(728)
2888
(400)
3492
(1004)
3943
(211)
4304
(572)
4603
(871)
4860
(1128)
5085
(109)
5284
(308)
5464
(488)
5627
(651)
5777
(801)