324296edo: Difference between revisions

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{{Infobox ETConsistency=59|Distinct consistency=59}}
{{Infobox ET|Consistency=59|Distinct consistency=59}}
{{EDO intro|324296}}
{{EDO intro|324296}}



Revision as of 14:48, 18 December 2024

← 324295edo 324296edo 324297edo →
Prime factorization 23 × 7 × 5791
Step size 0.00370032 ¢ 
Fifth 189701\324296 (701.955 ¢)
Semitones (A1:m2) 30723:24383 (113.7 ¢ : 90.22 ¢)
Consistency limit 59
Distinct consistency limit 59

Template:EDO intro

324296edo is notable for being an exceptionally good representation of the 47-limit, being the first EDO with Dirichlet badness in this limit less than 1, and is distinctly consistent in the 59-limit.

Odd harmonics

Approximation of prime harmonics in 324296edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59
Error Absolute (¢) +0.00000 +0.00000 +0.00002 +0.00010 +0.00061 +0.00074 +0.00056 +0.00037 -0.00018 +0.00072 -0.00017 +0.00041 +0.00117 +0.00017 +0.00020 +0.00114 +0.00144
Relative (%) +0.0 +0.1 +0.7 +2.8 +16.4 +20.1 +15.0 +9.9 -4.8 +19.5 -4.7 +11.1 +31.5 +4.5 +5.4 +30.8 +39.0
Steps
(reduced)
324296
(0)
513997
(189701)
752992
(104400)
910414
(261822)
1121880
(148992)
1200038
(227150)
1325548
(28364)
1377586
(80402)
1466973
(169789)
1575424
(278240)
1606626
(309442)
1689405
(67925)
1737433
(115953)
1759716
(138236)
1801331
(179851)
1857542
(236062)
1907718
(286238)