Meantone family: Difference between revisions
→Godzilla: move music links to semaphore and godzilla |
→Undevigintone: adding a new temperament Tags: Mobile edit Mobile web edit |
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= Undevigintone = | = Undevigintone = | ||
Period: 1\19 | Period: 1\19 | ||
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== 13-limit == | == 13-limit == | ||
Period: 1\19 | Period: 1\19 | ||
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Badness: 0.0229 | Badness: 0.0229 | ||
</div></div> | |||
= Cloudtone = | |||
The ''cloudtone'' temperament (5&50, named by [[User:Xenllium|Xenllium]]) tempers out the [[cloudy comma]], 16807/16384 and the [[81/80|syntonic comma]], 81/80 in the 7-limit. It can be extended to the 11- and 13-limit by adding 385/384 and 105/104 to the comma list in this order. | |||
== 7-limit == | |||
Period: 1\5 | |||
Optimal ([[POTE]]) generator: ~3/2 = 695.720 | |||
EDO generators: [[45edo|1\45]], [[50edo|1\50]] | |||
Scales (Scala files): | |||
<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"> | |||
Subgroup: 2.3.5.7 | |||
[[Comma list]]: 81/80, 16807/16384 | |||
[[Mapping]]: [{{val| 5 0 -20 14 }}, {{val| 0 1 4 0 }}] | |||
{{Multival|legend=1| 5 20 0 20 -14 -56 }} | |||
{{Val list|legend=1| 5, 45, 50, 95bcd, 145bcdd, 195bbcdd }} | |||
[[Badness]]: 0.102256 | |||
</div></div> | |||
== 11-limit == | |||
Period: 1\5 | |||
Optimal (POTE) generator: ~3/2 = 696.536 | |||
EDO generators: [[50edo|1\50]], [[55edo|1\55]] | |||
Scales (Scala files): | |||
<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"> | |||
Subgroup: 2.3.5.7.11 | |||
Comma list: 81/80, 385/384, 2401/2376 | |||
Mapping: [{{val| 5 0 -20 14 41 }}, {{val| 0 1 4 0 -3 }}] | |||
{{Val list|legend=1| 5, 50, 55, 105d, 155cdd, 205cddd }} | |||
Badness: 0.070378 | |||
</div></div> | |||
== 13-limit == | |||
Period: 1\5 | |||
Optimal (POTE) generator: ~3/2 = 696.162 | |||
EDO generators: [[50edo|1\50]], [[55edo|1\55]] | |||
Scales (Scala files): | |||
<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"> | |||
Subgroup: 2.3.5.7.11.13 | |||
Comma list: 81/80, 105/104, 144/143, 2401/2376 | |||
Mapping: [{{val| 5 0 -20 14 41 -21 }}, {{val| 0 1 4 0 -3 5 }}] | |||
{{Val list|legend=1| 5, 45f, 50, 55 }} | |||
Badness: 0.048829 | |||
</div></div> | </div></div> | ||