1125edo: Difference between revisions

Revision as of 13:14, 17 October 2023

The equal temperament tempers out 2401/2400, 4375/4374, and 250047/250000 in the 7-limit, supporting ennealimmal.

Approximation of prime harmonics in 1125edo
Harmonic		2	3	5	7	11	13	17	19	23	29	31
Error	Absolute (¢)	+0.000	-0.088	-0.180	-0.293	+0.149	+0.006	-0.422	+0.087	-0.008	-0.244	-0.502
Error	Relative (%)	+0.0	-8.3	-16.9	-27.4	+13.9	+0.5	-39.6	+8.2	-0.7	-22.9	-47.1
Steps (reduced)		1125 (0)	1783 (658)	2612 (362)	3158 (908)	3892 (517)	4163 (788)	4598 (98)	4779 (279)	5089 (589)	5465 (965)	5573 (1073)

Snce 1125 factors into 3² × 5³, 1125edo has subset edos 3, 5, 9, 15, 25, 45, 75, 125, 225, 375.

@@ Line 1: / Line 1: @@
 {{Infobox ET}}
-'''1125edo''' divides the octave into parts of 1.066 cents each.
+{{EDO intro|1125}}
-Its divisors are  {{EDOs|1, 3, 5, 9, 15, 25, 45, 75, 125, 225, 375}}.
+The equal temperament [[Tempering out|tempers out]] [[2401/2400]], [[4375/4374]], and [[250047/250000]] in the 7-limit, supporting [[ennealimmal]].
-==Theory==
+=== Prime harmonics ===
-{{harmonics in equal|1125}}
+{{Harmonics in equal|1125}}
-In the 11-limit, 1125edo tempers out [[2401/2400]], [[4375/4374]], and [[250047/250000]].
-[[Category:Equal divisions of the octave|####]] <!-- 4-digit number -->
+=== Subsets and supersets ===
+Snce 1125 factors into 3<sup>2</sup> × 5<sup>3</sup>, 1125edo has subset edos {{EDOs| 3, 5, 9, 15, 25, 45, 75, 125, 225, 375 }}.