102557edo: Difference between revisions

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Tristanbay (talk | contribs)
Corrected article to say "first non-trivial EDO" instead of "first EDO" and added link
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Tristanbay (talk | contribs)
Fixed link
Tags: Mobile edit Mobile web edit
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{{EDO intro}}
{{EDO intro}}


It is notable for being a high-limit system and is the first [[Trivial Temperament|non-trivial]] EDO to be consistent in the 32-[[Odd Prime Sum Limit|odd-prime-sum-limit]].
It is notable for being a high-limit system and is the first [[Trivial temperament|non-trivial]] EDO to be consistent in the 32-[[Odd Prime Sum Limit|odd-prime-sum-limit]].


{{Harmonics in equal|columns=13|steps=102557}}
{{Harmonics in equal|columns=13|steps=102557}}

Revision as of 04:14, 28 April 2024

← 102556edo 102557edo 102558edo →
Prime factorization 73 × 13 × 23
Step size 0.0117008 ¢ 
Fifth 59992\102557 (701.955 ¢)
Semitones (A1:m2) 9716:7711 (113.7 ¢ : 90.22 ¢)
Consistency limit 39
Distinct consistency limit 39

Template:EDO intro

It is notable for being a high-limit system and is the first non-trivial EDO to be consistent in the 32-odd-prime-sum-limit.


Approximation of prime harmonics in 102557edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31 37 41
Error Absolute (¢) +0.00000 +0.00001 +0.00024 +0.00118 +0.00084 +0.00004 +0.00086 +0.00349 +0.00066 +0.00050 +0.00572 +0.00107 -0.00539
Relative (%) +0.0 +0.1 +2.0 +10.1 +7.1 +0.4 +7.3 +29.8 +5.6 +4.3 +48.9 +9.1 -46.1
Steps
(reduced)
102557
(0)
162549
(59992)
238130
(33016)
287914
(82800)
354789
(47118)
379506
(71835)
419198
(8970)
435655
(25427)
463923
(53695)
498220
(87992)
508088
(97860)
534266
(21481)
549454
(36669)