3566edo: Difference between revisions

Revision as of 07:52, 14 February 2023

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.

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
Error	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)

@@ Line 1: / Line 1: @@
 {{Infobox ET}}
-'''3566edo''' divides the octave into 3566 parts that are approximately .336511...¢ each. 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]].
+{{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]].
-It is a [[zeta peak integer edo]].
+=== Prime harmonics ===
+{{Harmonics in equal|3566|prec=4}}
-{{Primes in edo|3566|prec=4}}
+[[Category:Zeta|####]] <!-- 4-digit number -->
-[[Category:Equal divisions of the octave|####]] <!-- 4-digit number -->
-[[Category:Zeta]]