285edo: Difference between revisions

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@@ Line 1: / Line 1: @@
 {{Infobox ET}}
-{{EDO intro|285}}
+{{ED intro}}
 == Theory ==
@@ Line 9: / Line 9: @@
 === Subsets and supersets ===
-Since 285 factors into 3 × 5 × 19, 285edo has subset edos {{EDOs| 3, 5, 15, 19, 57, and 95 }}.
+Since 285 factors into {{factorisation|285}}, 285edo has subset edos {{EDOs| 3, 5, 15, 19, 57, and 95 }}.
 == Regular temperament properties ==
-{{comma basis begin}}
+{| class="wikitable center-4 center-5 center-6"
+|-
+! rowspan="2" | [[Subgroup]]
+! rowspan="2" | [[Comma list]]
+! rowspan="2" | [[Mapping]]
+! rowspan="2" | Optimal<br />8ve stretch (¢)
+! colspan="2" | Tuning error
+|-
+! [[TE error|Absolute]] (¢)
+! [[TE simple badness|Relative]] (%)
 |-
 | 2.3
 | {{monzo| 452 -285 }}
 | {{mapping| 285 452 }}
-| &minus;0.3795
+| −0.3795
 | 0.3794
 | 9.01
@@ Line 24: / Line 33: @@
 | 67108864/66430125, {{monzo| -14 -19 19 }}
 | {{mapping| 285 452 662 }}
-| &minus;0.4043
+| −0.4043
 | 0.3117
 | 7.41
@@ Line 31: / Line 40: @@
 | 3136/3125, 5120/5103, 40353607/39858075
 | {{mapping| 285 452 662 800 }}
-| &minus;0.2673
+| −0.2673
 | 0.3596
 | 8.54
@@ Line 38: / Line 47: @@
 | 3025/3024, 3136/3125, 5120/5103, 12005/11979
 | {{mapping| 285 452 662 800 986 }}
-| &minus;0.2289
+| −0.2289
 | 0.3307
 | 7.85
@@ Line 45: / Line 54: @@
 | 352/351, 676/675, 847/845, 3025/3024, 12005/11979
 | {{mapping| 285 452 662 800 986 1055 }}
-| &minus;0.2618
+| −0.2618
 | 0.3107
 | 7.38
@@ Line 51: / Line 60: @@
 === Rank-2 temperaments ===
-{{rank-2 begin}}
+{| class="wikitable center-all left-5"
+|+ style="font-size: 105%;" | Table of rank-2 temperaments by generator
+|-
+! Periods<br />per 8ve
+! Generator*
+! Cents*
+! Associated<br />ratio*
+! Temperaments
 |-
 | 1
@@ Line 76: / Line 92: @@
 | 4/3<br />(15625/15552)
 | [[Enneadecal]] (5-limit)
-{{rank-2 end}}
+|}
-{{orf}}
+<nowiki />* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if distinct