3566edo: Difference between revisions

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{{Infobox ET}}
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{{EDO intro|3566}} It is a very strong 7-limit system, and is twice [[1783edo]], which is a very strong 5-limit edo. It tempers out the [[lakisma]] and [[support]]s a number of [[very high accuracy temperaments|very high accuracy 7-limit rank-3 temperaments]]. It is a [[zeta peak integer edo]].  
{{EDO intro|3566}} It is a very strong 7-limit system, and is twice [[1783edo]], which is a very strong 5-limit edo. It tempers out the [[lakisma]] and [[support]]s a number of [[very high accuracy temperaments|very high accuracy 7-limit rank-3 temperaments]]. It is a [[zeta peak integer edo]].  



Revision as of 04:29, 9 July 2023

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← 3565edo 3566edo 3567edo →
Prime factorization 2 × 1783
Step size 0.336511 ¢ 
Fifth 2086\3566 (701.963 ¢) (→ 1043\1783)
Semitones (A1:m2) 338:268 (113.7 ¢ : 90.19 ¢)
Consistency limit 11
Distinct consistency limit 11

Template:EDO intro It is a very strong 7-limit system, and is twice 1783edo, which is a very strong 5-limit edo. It tempers out the lakisma and supports a number of very high accuracy 7-limit rank-3 temperaments. It is a zeta peak integer edo.

Prime harmonics

Approximation of prime harmonics in 3566edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.0000 +0.0080 +0.0015 -0.0093 -0.1121 +0.0781 +0.0362 -0.0369 -0.0074 +0.1480 +0.1131
Relative (%) +0.0 +2.4 +0.4 -2.8 -33.3 +23.2 +10.8 -11.0 -2.2 +44.0 +33.6
Steps
(reduced)
3566
(0)
5652
(2086)
8280
(1148)
10011
(2879)
12336
(1638)
13196
(2498)
14576
(312)
15148
(884)
16131
(1867)
17324
(3060)
17667
(3403)