12edo: Difference between revisions

@@ Line 259: / Line 259: @@
 == Regular temperament properties ==
-{| class="wikitable center-all"
+{| class="wikitable center-4 center-5 center-6"
-! colspan="2" |
+! rowspan="2" | Subgroup
-! 3-limit
+! rowspan="2" | [[Comma list]]
-! 5-limit
+! rowspan="2" | [[Mapping]]
-! 7-limit
+! rowspan="2" | Optimal<br>8ve stretch (¢)
-! 2.3.5.7.17.19
+! colspan="2" | Tuning error
 |-
-! colspan="2" |Octave stretch (¢)
+! [[TE error|Absolute]] (¢)
+! [[TE simple badness|Relative]] (%)
+|-
+| 2.3
+| {{monzo| -19 12 }}
+| [{{val| 12 19 }}]
 | +0.617
+| 0.617
+| 0.617
+|-
+| 2.3.5
+| 81/80, 128/125
+| [{{val| 12 19 28 }}]
 | -1.56
+| 3.11
+| 3.11
+|-
+| 2.3.5.7
+| 36/35, 50/49, 64/63
+| [{{val| 12 19 28 34 }}]
 | -3.95
+| 4.92
+| 4.94
+|-
+| 2.3.5.7.17
+| 36/35, 50/49, 51/49, 64/63
+| [{{val| 12 19 28 34 49 }}]
+| -2.92
+| 4.86
+| 4.87
+|-
+| 2.3.5.7.17.19
+| 36/35, 50/49, 51/49, 57/56, 64/63
+| [{{val| 12 19 28 34 49 51 }}]
 | -2.53
-|-
-! rowspan="2" |Error
-! [[TE error|absolute]] (¢)
-| 0.617
-| 3.11
-| 4.92
 | 4.52
-|-
-! [[TE simple badness|relative]] (%)
-| 0.617
-| 3.11
-| 4.94
 | 4.53
 |}
 et (12f val) is lower in relative error than any previous edos in the 3-, 5-, 7-, 11-, 13-, and 19-limit. The next ETs doing better in those subgroup are 41, 19, 19, 22, 19/19e, and 19egh, respectively. 12et is even more prominent in the 2.3.5.7.17.19 subgroup, and the next ET that does this better is 72.