12edo: Difference between revisions

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VisualWikitext

@@ Line 441: / Line 441: @@
 | 2.3
 | {{monzo| -19 12 }}
-| [{{val| 12 19 }}]
+| {{mapping| 12 19 }}
 | +0.62
 | 0.62
@@ Line 448: / Line 448: @@
 | 2.3.5
 | 81/80, 128/125
-| [{{val| 12 19 28 }}]
+| {{mapping| 12 19 28 }}
 | −1.56
 | 3.11
@@ Line 455: / Line 455: @@
 | 2.3.5.7
 | 36/35, 50/49, 64/63
-| [{{val| 12 19 28 34 }}]
+| {{mapping| 12 19 28 34 }}
 | −3.95
 | 4.92
 | 4.94
 |-
+| 2.3.5.7.17
+| 36/35, 50/49, 51/49, 64/63
+| {{mapping| 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
+| {{mapping| 12 19 28 34 49 51 }}
+| −2.53
+| 4.52
+| 4.53
+|- style="border-top: double;"
 | 2.3.5.17
 | 51/50, 81/80, 128/125
-| [{{val| 12 19 28 49 }}]
+| {{mapping| 12 19 28 49 }}
 | −0.87
 | 2.95
 | 2.95
-|-
-| 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
 |-
 | 2.3.5.17.19
 | 51/50, 76/75, 81/80, 128/125
-| [{{val| 12 19 28 49 51 }}]
+| {{mapping| 12 19 28 49 51 }}
 | −0.81
 | 2.64
 | 2.64
-|-
-| 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
-| 4.52
-| 4.53
 |}
+* 12et (12f val) is lower in relative error than any previous equal temperaments in the 3-, 5-, 7-, 11-, 13-, and 19-limit. The next equal temperaments doing better in those subgroups 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 equal temperament that does this better is 72.
-et (12f val) is lower in relative error than any previous equal temperaments in the 3-, 5-, 7-, 11-, 13-, and 19-limit. The next ETs doing better in those subgroups 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.
 === Uniform maps ===