Marvel temperaments: Difference between revisions
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= Decic | = Decic = | ||
The ''decic'' temperament (10&50, named by [[User:Xenllium|Xenllium]]) tempers out the [[cloudy comma]], 16807/16384 and the [[225/224|marvel comma]], 225/224 in the 7-limit. It can be extended naturally to the 11, 13, 17 limit by adding 385/384, 105/104, and 170/169 to the comma list in this order. | The ''decic'' temperament (10&50, named by [[User:Xenllium|Xenllium]]) tempers out the [[cloudy comma]], 16807/16384 and the [[225/224|marvel comma]], 225/224 in the 7-limit. It can be extended naturally to the 11-, 13-, and 17-limit by adding 385/384, 105/104, and 170/169 to the comma list in this order. | ||
==7-limit== | == 7-limit == | ||
Period: 1\10 | Period: 1\10 | ||
Optimal ([[POTE]]) generator: ~3/2 = 698.696 | Optimal ([[POTE]]) generator: ~3/2 = 698.696 | ||
EDO generators: | EDO generators: [[50edo|1\50]], [[60edo|1\60]] | ||
Scales (Scala files): | Scales (Scala files): | ||
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<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;"> | <div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;"> | ||
<div style="line-height:1.6;">Technical data</div> | <div style="line-height:1.6;">Technical data</div> | ||
<div class="mw-collapsible-content"> | <div class="mw-collapsible-content"> | ||
Subgroup: 2.3.5.7 | Subgroup: 2.3.5.7 | ||
Comma list: 225/224, 16807/16384 | [[Comma list]]: 225/224, 16807/16384 | ||
Mapping: [{{val| 10 0 39 28 }}, {{val| 0 1 -1 0 }}] | [[Mapping]]: [{{val| 10 0 39 28 }}, {{val| 0 1 -1 0 }}] | ||
{{Multival|legend=1| 10 -10 0 -39 -28 28 }} | |||
{{Val list|legend=1| 10, 50, 60, 110d }} | {{Val list|legend=1| 10, 50, 60, 110d }} | ||
Badness: 0.089135 | [[Badness]]: 0.089135 | ||
</div></div> | </div></div> | ||
==11-limit== | == 11-limit == | ||
Period: 1\10 | Period: 1\10 | ||
Optimal (POTE) generator: ~3/2 = 696.791 | Optimal (POTE) generator: ~3/2 = 696.791 | ||
EDO generators: | EDO generators: [[50edo|1\50]], [[60edo|1\60]] | ||
Scales (Scala files): | Scales (Scala files): | ||
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==13-limit== | == 13-limit == | ||
Period: 1\10 | Period: 1\10 | ||
Optimal (POTE) generator: ~3/2 = 696.993 | Optimal (POTE) generator: ~3/2 = 696.993 | ||
EDO generators: | EDO generators: [[50edo|1\50]], [[60edo|1\60]] | ||
Scales (Scala files): | Scales (Scala files): | ||
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<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;"> | <div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;"> | ||
<div style="line-height:1.6;">Technical data</div> | <div style="line-height:1.6;">Technical data</div> | ||
<div class="mw-collapsible-content"> | <div class="mw-collapsible-content"> | ||
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==17-limit== | == 17-limit == | ||
Period: 1\10 | Period: 1\10 | ||
Optimal (POTE) generator: ~3/2 = 697.085 | Optimal (POTE) generator: ~3/2 = 697.085 | ||
EDO generators: | EDO generators: [[50edo|1\50]], [[60edo|1\60]] | ||
Scales (Scala files): | Scales (Scala files): | ||
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<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;"> | <div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;"> | ||
<div style="line-height:1.6;">Technical data</div> | <div style="line-height:1.6;">Technical data</div> | ||
<div class="mw-collapsible-content"> | <div class="mw-collapsible-content"> | ||