Mint family: Difference between revisions
m Cleanup; edo list reviewed; update category |
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The '''mint''' | 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]] |