275edo: Difference between revisions

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@@ Line 1: / Line 1: @@
 {{Infobox ET}}
-{{EDO intro|275}}
+{{ED intro}}
 == Theory ==
@@ Line 13: / Line 13: @@
 === Subsets and supersets ===
-Since 275 factors into 5<sup>2</sup> × 11, 275edo has subset edos {{EDOs| 5, 11, 25 and 55 }}.
+Since 275 factors into {{factorisation|275}}, 275edo has subset edos {{EDOs| 5, 11, 25 and 55 }}.
 == 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| 436 -275 }}
 | {{mapping| 275 436 }}
-| &minus;0.1863
+| −0.1863
 | 0.1862
 | 4.27
@@ Line 28: / Line 37: @@
 | {{monzo| 24 -21 4 }}, {{monzo| 19 10 -15 }}
 | {{mapping| 275 436 639 }}
-| &minus;0.4184
+| −0.4184
 | 0.3618
 | 8.29
@@ Line 35: / Line 44: @@
 | 6144/6125, 10976/10935, 9882516/9765625
 | {{mapping| 275 436 639 772 }}
-| &minus;0.3051
+| −0.3051
 | 0.3698
 | 8.48
@@ Line 42: / Line 51: @@
 | 441/440, 4000/3993, 6144/6125, 10976/10935
 | {{mapping| 275 436 639 772 952 }} (275e)
-| &minus;0.4096
+| −0.4096
 | 0.3912
 | 8.97
@@ Line 49: / Line 58: @@
 | 364/363, 441/440, 676/675, 6144/6125, 10976/10935
 | {{mapping| 275 436 639 772 952 1018 }} (275e)
-| &minus;0.4158
+| −0.4158
 | 0.3574
 | 8.19
-{{comma basis end}}
+|}
 === 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 86: / Line 102: @@
 | 4/3<br />(36/35)
 | [[Hendecatonic]]
-{{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