5544edo: Difference between revisions

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5544edo is also consistent in the 17-odd, nice
 
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{{Infobox ET}}
{{Infobox ET}}
{{EDO intro|5544}}
== Theory ==
5544edo is consistent in the 17-odd-limit and has a lot of divisors. A notable divisor is [[1848edo]], which which it shares the mapping for the 11-limit and tempers out the same commas.


== Theory ==
{{Harmonics in equal|5544}}
{{Harmonics in equal|5544}}

Revision as of 13:32, 4 January 2023

← 5543edo 5544edo 5545edo →
Prime factorization 23 × 32 × 7 × 11
Step size 0.21645 ¢ 
Fifth 3243\5544 (701.948 ¢) (→ 1081\1848)
Semitones (A1:m2) 525:417 (113.6 ¢ : 90.26 ¢)
Consistency limit 17
Distinct consistency limit 17

Template:EDO intro

Theory

5544edo is consistent in the 17-odd-limit and has a lot of divisors. A notable divisor is 1848edo, which which it shares the mapping for the 11-limit and tempers out the same commas.


Approximation of prime harmonics in 5544edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.0000 -0.0069 +0.0499 +0.0053 -0.0192 -0.0515 +0.0229 +0.1060 +0.0806 +0.0765 -0.0139
Relative (%) +0.0 -3.2 +23.1 +2.4 -8.9 -23.8 +10.6 +49.0 +37.3 +35.3 -6.4
Steps
(reduced)
5544
(0)
8787
(3243)
12873
(1785)
15564
(4476)
19179
(2547)
20515
(3883)
22661
(485)
23551
(1375)
25079
(2903)
26933
(4757)
27466
(5290)