5407372813edo: Difference between revisions

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{{Infobox ET
|Prime factorization=5407372813 (prime)
|Consistency=155
|Distinct consistency=155
}}
{{EDO intro}}
{{EDO intro}}


{{PAGENAME}} is [[consistent]] in the 155-odd-limit and thus has been used in [[Scale Workshop]] to quickly decide the [[constant structure]] property for JI scales.
{{PAGENAME}} is [[consistent]] in the 155-[[odd-limit]] and thus has been used in [[Scale Workshop]] to quickly decide the [[constant structure]] property for JI scales.
 
== Theory ==
== Theory ==
{{harmonics in equal|5407372813}}
{{harmonics in equal|5407372813}}

Revision as of 17:02, 29 April 2024

← 5407372812edo 5407372813edo 5407372814edo →
Prime factorization 5407372813 (prime)
Step size 2.21919e-07 ¢ 
Fifth 3163110323\5407372813 (701.955 ¢)
Semitones (A1:m2) 512281009:406566824 (113.7 ¢ : 90.22 ¢)
Consistency limit 155
Distinct consistency limit 155

Template:EDO intro

5407372813edo is consistent in the 155-odd-limit and thus has been used in Scale Workshop to quickly decide the constant structure property for JI scales.

Theory

Approximation of prime harmonics in 5407372813edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.0000000000 -0.0000000053 -0.0000000077 +0.0000000053 -0.0000000115 -0.0000000048 +0.0000000167 +0.0000000467 -0.0000000230 -0.0000000274 -0.0000000113
Relative (%) +0.0 -2.4 -3.5 +2.4 -5.2 -2.2 +7.5 +21.0 -10.4 -12.4 -5.1
Steps
(reduced)
5407372813
(0)
8570483136
(3163110323)
12555530854
(1740785228)
15180414682
(4365669056)
18706436483
(2484318044)
20009657128
(3787538689)
22102435442
(472944190)
22970127748
(1340636496)
24460585939
(2831094687)
26268914359
(4639423107)
26789186439
(5159695187)