1065edo: Difference between revisions

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~~'''1065edo''' divides the octave into steps of 1.12676...¢ each. It is consistent to the 21-odd limit and is a [[zeta peak integer edo]].~~

~~Some commas it tempers out:~~

1065edo is [[consistent]] to the [[21-odd-limit]] and is a [[zeta peak integer edo]].

* [[~~Monzisma~~]]

* [[~~Temperament orphanage|Squarschmidt~~]] ~~({{monzo|61, 4, -29}})~~

* [[~~Landscape comma~~]] ~~(250047/250000)~~

* [3, 3, -3, 0, 1, 0, 0, -1⟩ (2376/2375)

* [-3, 2, -2, 0, 0, -1, 2, 0⟩ (2601/2600)

* [1, -2, -2, 1, 1, -1, 0, 1⟩ (2926/2925)

* [-4, -3, 2, -1, 2, 0, 0, 0⟩ (3025/3024)

* [1, 1, 1, -2, 0, -1, -1, 2⟩ (10830/10829)

* [8, -1, 1, 0, 1, -1, 0, -2⟩ (14080/14079)

* [-2, -3, 1, -1, 0, 2, 1, -1⟩ (14365/14364)

[[Category:Zeta]]

The equal temperament [[tempering out|tempers out]] {{monzo| 54 -37 2 }} ([[monzisma]]) and {{monzo| 61 4 -29}} (squarschmidt comma) in the 5-limit; 250047/250000 ([[landscape comma]]) in the 7-limit; [[3025/3024]], 102487/102400, 160083/160000, and 180224/180075 in the 11-limit; [[1716/1715]] and [[4096/4095]] in the 13-limit; [[2601/2600]] and [[12376/12375]] in the 17-limit; and 2376/2375, 2926/2925, 10830/10829, 14080/14079, and 14365/14364 in the 19-limit.

=== Prime harmonics ===

=== Subsets and supersets ===

Since 1065 factors into {{factorization|1065}}, 1065edo has subset edos {{EDOs| 3, 5, 15, 71, 213, and 355 }}.

[[Category:Zeta|####]]

@@ Line 1: / Line 1: @@
-'''1065edo''' divides the octave into steps of 1.12676...¢ each. It is consistent to the 21-odd limit and is a [[zeta peak integer edo]].
+{{Infobox ET}}
+{{ED intro}}
-Some commas it tempers out:
+edo is [[consistent]] to the [[21-odd-limit]] and is a [[zeta peak integer edo]].
-* [[Monzisma]]
-* [[Temperament orphanage|Squarschmidt]] ({{monzo|61, 4, -29}})
-* [[Landscape comma]] (250047/250000)
-* [3, 3, -3, 0, 1, 0, 0, -1⟩ (2376/2375)
-* [-3, 2, -2, 0, 0, -1, 2, 0⟩ (2601/2600)
-* [1, -2, -2, 1, 1, -1, 0, 1⟩ (2926/2925)
-* [-4, -3, 2, -1, 2, 0, 0, 0⟩ (3025/3024)
-* [1, 1, 1, -2, 0, -1, -1, 2⟩ (10830/10829)
-* [8, -1, 1, 0, 1, -1, 0, -2⟩ (14080/14079)
-* [-2, -3, 1, -1, 0, 2, 1, -1⟩ (14365/14364)
-[[Category:Zeta]]
+The equal temperament [[tempering out|tempers out]] {{monzo| 54 -37 2 }} ([[monzisma]]) and {{monzo| 61 4 -29}} (squarschmidt comma) in the 5-limit; 250047/250000 ([[landscape comma]]) in the 7-limit; [[3025/3024]], 102487/102400, 160083/160000, and 180224/180075 in the 11-limit; [[1716/1715]] and [[4096/4095]] in the 13-limit; [[2601/2600]] and [[12376/12375]] in the 17-limit; and 2376/2375, 2926/2925, 10830/10829, 14080/14079, and 14365/14364 in the 19-limit.
+=== Prime harmonics ===
+{{Harmonics in equal|1065|prec=4}}
+=== Subsets and supersets ===
+Since 1065 factors into {{factorization|1065}}, 1065edo has subset edos {{EDOs| 3, 5, 15, 71, 213, and 355 }}.
+[[Category:Zeta|####]] <!-- 4-digit number -->