1012edo: Difference between revisions

@@ Line 11: / Line 11: @@
 === Subsets and supersets ===
-Since 1012 factors into {{factorization|1012}}, 1012edo has subset edos {{EDOs| 2, 4, 11, 22, 23, 44, 46, 92, 253, 506 }}. [[2024edo]], which divides the edostep in two, provides a good correction for the 17th harmonic.
+Since 1012 factors into {{nowrap| 2<sup>2</sup> × 11 × 23 }}, 1012edo has subset edos {{EDOs| 2, 4, 11, 22, 23, 44, 46, 92, 253, 506 }}. [[2024edo]], which divides the edostep in two, provides a good correction for the 17th harmonic.
 == Regular temperament properties ==
@@ Line 18: / Line 18: @@
 |+ style="font-size: 105%;" | Table of rank-2 temperaments by generator
 |-
-! Periods<br />per 8ve
+! Periods<br>per 8ve
 ! Generator*
 ! Cents*
-! Associated<br />ratio*
+! Associated<br>ratio*
 ! Temperaments
 |-
 | 1
 | 361\1012
-| 428.066
+| 428.06
 | 2800/2187
 | [[Osiris]]
 |-
 | 2
-| 491\1012
+| 145\1012
-| 498.023
+| 171.94
+| 243/220
+| [[Semiosiris]]
+|-
+| 2
+| 420\1012
+| 498.02
 | 7/5
 | [[Quarvish]]
 |-
 | 44
-| 420\1012<br />(6\1012)
+| 420\1012<br>(6\1012)
-| 498.023<br />(7.115)
+| 498.02<br>(7.11)
-| 4/3<br />(18375/18304)
+| 4/3<br>(18375/18304)
 | [[Ruthenium]]
 |}
-<nowiki />* [[Normal forms #Equave-reduced-generator form|Octave-reduced form]], reduced to the first half-octave, and [[normal forms #Minimal-generator form|minimal form]] in parentheses if distinct
+<nowiki/>* In [[normal forms #Minimal-generator form|minimal-generator form]]