Nexus family: Difference between revisions

← Older edit

VisualWikitext

@@ Line 1: / Line 1: @@
-The '''nexus family''' is a family of rank-4 temperaments tempers out the [[nexus comma]], the unnoticeable comma with the ratio 1771561/1769472, and a monzo of {{monzo|-16 -3 0 0 6}}, however, most of the members of this rank-4 family currently have yet to be explored. For other families that are defined by the tempering of this comma, see [[the Nexus]].
+{{Technical data page}}
+The '''nexus family''' is a family of [[rank-4]] temperaments tempers out the [[nexus comma]], the unnoticeable comma with the ratio 1771561/1769472, and a monzo of {{monzo|-16 -3 0 0 6}}, however, most of the members of this rank-4 family currently have yet to be explored. For other families that are defined by the tempering of this comma, see [[the Nexus]].
 == Nexus ==
@@ Line 11: / Line 12: @@
 Mapping generators: ~121/96, ~1331/768, ~5/1, ~7/1
-{{Multival|legend=1|rank=4| 6 0 0 3 -16 }}
 [[POTE generator]]s: ~1331/768 = 950.9518, ~5/4 = 386.2068, ~7/4 = 968.6966
-{{Val list|legend=1| 9, 15, 24, 39d, 48, 57, 63, 72, 159, 183, 198, 255, 270, 342, 612, 954, 1566 }}
+{{Optimal ET sequence|legend=1| 9, 15, 24, 39d, 48, 57, 63, 72, 159, 183, 198, 255, 270, 342, 612, 954, 1566 }}
 [[Badness]]: 0.588 × 10<sup>-6</sup>
-==  ==
+=== 13-limit ===
+{{todo|review|inline=yes|comment=Add optimal ET sequence & badness}}
 Subgroup: 2.3.5.7.11.13
@@ Line 27: / Line 27: @@
 [[Comma list]]: [[1771561/1769472]], [[676/675]]
-[[Mapping]]:
+[[Mapping]]: [⟨3 0 0 0 8 -3], ⟨0 2 0 0 1 3], ⟨0 0 1 0 0 1], ⟨0 0 0 1 0 0]⟩
-Mapping generators:
-{{Multival|legend=1|rank=4| }}
+Mapping generators: ⟨1200.000, 1902.167, 2786.583, 3368.823, 4151.084, 4439.834]
-[[POTE generator]]s:
+[[POTE generator]]s: ⟨400.0000, 951.0837, 2786.5829, 3368.8230]
-{{Val list|legend=1| }}
+{{Optimal ET sequence|legend=1| }}
 [[Badness]]:
 [[Category:Temperament families]]
+[[Category:Pages with mostly numerical content]]
 [[Category:Nexus family| ]] <!-- main article -->
 [[Category:Rank 4]]