Mint family: Difference between revisions

m Cleanup; edo list reviewed; update category
+databoxes
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The '''mint''' family of rank-3 temperaments tempers out [[36/35]], identifying both [[7/6]] with [[6/5]] and [[5/4]] with [[9/7]].
The '''mint family''' of rank-3 temperaments tempers out [[36/35]], identifying both [[7/6]] with [[6/5]] and [[5/4]] with [[9/7]].


= Mint =
= Mint =
Period: 1\1
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
[[Comma list]]: 36/35


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[[Badness]]: 0.0637 × 10<sup>-3</sup>
[[Badness]]: 0.0637 × 10<sup>-3</sup>
</div></div>


= Nickel =
= Nickel =
Period: 1\1
Optimal ([[POTE]]) generators: ~3/2 = 688.8370, ~5/4 = 391.8801
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: 36/35, [[45/44]]
Comma list: 36/35, [[45/44]]
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Badness: 0.463 × 10<sup>-3</sup>
Badness: 0.463 × 10<sup>-3</sup>
</div></div>


== 13-limit ==
== 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
Comma list: [[27/26]], 36/35, 45/44
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Badness: 0.647 × 10<sup>-3</sup>
Badness: 0.647 × 10<sup>-3</sup>
</div></div>


[[Category:Theory]]
[[Category:Theory]]