Mint family: Difference between revisions

← Older edit

VisualWikitext

@@ Line 1: / Line 1: @@
-The '''mint family''' of rank-3 temperaments tempers out [[36/35]], identifying both [[7/6]] with [[6/5]] and [[5/4]] with [[9/7]].
+{{Technical data page}}
+The '''mint family''' of [[rank-3 temperament]]s tempers out [[36/35]], identifying both [[7/6]] with [[6/5]] and [[5/4]] with [[9/7]].
-= Mint =
+== Mint  ==
+[[Subgroup]]: 2.3.5.7
-Period: 1\1
+[[Comma list]]: 36/35
-Optimal ([[POTE]]) generators: ~3/2 = 698.6351, ~5/4 = 404.2809
-EDO generators: [[4edo|(2, 1)\4]], [[5edo|(3, 2)\5]], [[12edo|(7, 4)\12]]
-Scales:
-<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;">
-<div style="line-height:1.6;">Technical data</div>
-<div class="mw-collapsible-content">
-[[Comma list]]: 36/35
+{{Mapping|legend=1| 1 0 0 2 | 0 1 0 2 | 0 0 1 -1 }}
-[[Mapping]]: [{{val| 1 0 0 2 }}, {{val| 0 1 0 2 }}, {{val| 0 0 1 -1 }}]
+[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~3/2 = 698.6351, ~5/4 = 404.2809
-{{Val list|legend=1| 4, 5, 7, 8d, 9, 12 }}
+{{Optimal ET sequence|legend=1| 4, 5, 7, 8d, 9, 12 }}
 [[Badness]]: 0.0637 × 10<sup>-3</sup>
-</div></div>
+== Nickel  ==
+[[Subgroup]]: 2.3.5.7.11
-= Nickel =
+[[Comma list]]: 36/35, [[45/44]]
-Period: 1\1
+{{Mapping|legend=1| 1 0 0 2 -2 | 0 1 0 2 2 | 0 0 1 -1 1 }}
-Optimal ([[POTE]]) generators: ~3/2 = 688.8370, ~5/4 = 391.8801
+[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~3/2 = 688.8370, ~5/4 = 391.8801
-EDO generators: [[7edo|(4, 2)\7]], [[9edo|(5, 3)\9]], [[12edo|(7, 4)\12]]
+{{Optimal ET sequence|legend=1| 7, 9, 12, 21, 28 }}
-Scales:
+[[Badness]]: 0.463 × 10<sup>-3</sup>
-<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;">
+=== 13-limit  ===
-<div style="line-height:1.6;">Technical data</div>
+Subgroup: 2.3.5.7.11.13
-<div class="mw-collapsible-content">
-Comma list: 36/35, [[45/44]]
+Comma list: [[27/26]], 36/35, 45/44
-Mapping: [{{val| 1 0 0 2 -2 }}, {{val| 0 1 0 2 2 }}, {{val| 0 0 1 -1 1 }}]
+Mapping: {{mapping| 1 0 0 2 -2 -1 | 0 1 0 2 2 3 | 0 0 1 -1 1 0 }}
-{{Val list|legend=1| 7, 9, 12, 21, 28 }}
+Optimal tuning (POTE): ~2 = 1\1, ~3/2 = 685.0048, ~5/4 = 390.2563
-Badness: 0.463 × 10<sup>-3</sup>
+{{Optimal ET sequence|legend=1| 7, 9, 12f, 16, 21, 28 }}
-</div></div>
-== 13-limit ==
-Period: 1\1
-Optimal ([[POTE]]) generators: ~3/2 = 685.0048, ~5/4 = 390.2563
-EDO generators: [[7edo|(4, 2)\7]], [[9edo|(5, 3)\9]], [[12edo|(7, 4)\12]]
-Scales:
-<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;">
-<div style="line-height:1.6;">Technical data</div>
-<div class="mw-collapsible-content">
-Comma list: [[27/26]], 36/35, 45/44
-Mapping: [{{val| 1 0 0 2 -2 -1 }}, {{val| 0 1 0 2 2 3 }}, {{val| 0 0 1 -1 1 0 }}]
-{{Val list|legend=1| 7, 9, 12f, 16, 21, 28 }}
 Badness: 0.647 × 10<sup>-3</sup>
-</div></div>
+[[Category:Temperament families]]
+[[Category:Pages with mostly numerical content]]
-[[Category:Theory]]
+[[Category:Mint family| ]] <!-- main article -->
-[[Category:Temperament family]]
+[[Category:Mint| ]] <!-- key article -->
-[[Category:Mint]]
 [[Category:Rank 3]]