422edo: Difference between revisions

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VisualWikitext

@@ Line 12: / Line 12: @@
 == Regular temperament properties ==
-{| class="wikitable center-4 center-5 center-6"
+{{comma basis begin}}
-! rowspan="2" | [[Subgroup]]
-! rowspan="2" | [[Comma list|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| 669 -422 }}
 | {{mapping| 422 669 }}
-| -0.1308
+| &minus;0.1308
 | 0.1308
 | 4.60
@@ Line 32: / Line 24: @@
 | {{monzo| 23 6 -14 }}, {{monzo| 33 -34 9 }}
 | {{mapping| 422 669 980 }}
-| -0.1469
+| &minus;0.1469
 | 0.1092
 | 3.84
@@ Line 39: / Line 31: @@
 | 4375/4374, 589824/588245, 29360128/29296875
 | {{mapping| 422 669 980 1185 }}
-| -0.1852
+| &minus;0.1852
 | 0.1155
 | 4.06
@@ Line 46: / Line 38: @@
 | 3025/3024, 4375/4374, 5632/5625, 589824/588245
 | {{mapping| 422 669 980 1185 1460 }}
-| -0.1679
+| &minus;0.1679
 | 0.1090
 | 3.83
@@ Line 53: / Line 45: @@
 | 1716/1715, 2080/2079, 2200/2197, 3025/3024, 5632/5625
 | {{mapping| 422 669 980 1185 1460 1562 }}
-| -0.1930
+| &minus;0.1930
 | 0.1142
 | 4.02
@@ Line 60: / Line 52: @@
 | 1156/1155, 1275/1274, 1716/1715, 2080/2079, 2200/2197, 2431/2430
 | {{mapping| 422 669 980 1185 1460 1562 1725 }}
-| -0.1744
+| &minus;0.1744
 | 0.1151
 | 4.05
@@ Line 67: / Line 59: @@
 | 1156/1155, 1216/1215, 1275/1274, 1331/1330, 1445/1444, 1716/1715, 2200/2197
 | {{mapping| 422 669 980 1185 1460 1562 1725 1793 }}
-| -0.1839
+| &minus;0.1839
 | 0.1106
 | 3.89
@@ Line 74: / Line 66: @@
 | 736/735, 1156/1155, 1216/1215, 1275/1274, 1331/1330, 1445/1444, 1496/1495, 1716/1715
 | {{mapping| 422 669 980 1185 1460 1562 1725 1793 1909 }}
-| -0.1675
+| &minus;0.1675
 | 0.1142
 | 4.02
-|}
+{{comma basis end}}
-* 422et has lower absolute errors than any previous equal temperaments in the 17-, 19- and 23-limit. In the 17- and 19-limit it beats [[400edo|400]] and is bettered by [[460edo|460]]. In the 23-limit it beats [[373edo|373g]] and is bettered by [[525edo|525]].
+* 422et has lower absolute errors than any previous equal temperaments in the 17-, 19-, and 23-limit. In the 17- and 19-limit it beats [[400edo|400]] and is bettered by [[460edo|460]]. In the 23-limit it beats [[373edo|373g]] and is bettered by [[525edo|525]].
 === Rank-2 temperaments ===
-{| class="wikitable center-all left-5"
+{{rank-2 begin}}
-|+Table of rank-2 temperaments by generator
-! Periods<br>per 8ve
-! Generator*
-! Cents*
-! Associated<br>Ratio*
-! Temperaments
 |-
 | 1
@@ Line 126: / Line 112: @@
 |-
 | 2
-| 153\422<br>(58\422)
+| 153\422<br />(58\422)
-| 435.07<br>(164.93)
+| 435.07<br />(164.93)
-| 9/7<br>(11/10)
+| 9/7<br />(11/10)
 | [[Semisupermajor]]
-|}
+{{rank-2 end}}
-<nowiki>*</nowiki> [[Normal lists|octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if it is distinct
+{{orf}}
+[[Category:Countritonic]]
 [[Category:Gamera]]
 [[Category:Vishnu]]
-[[Category:Countritonic]]