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Marvel temperaments: Difference between revisions

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Databoxes for triton to slender; edo list reviewed; badness corrected
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= Triton =
= Triton =
Period: 1\1
Optimal ([[POTE]]) generator: ~7/5 = 568.865
EDO generators: [[19edo|9\19]], [[21edo|10\21]]
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">
Comma list: 225/224, 1029/1000
Comma list: 225/224, 1029/1000
[[POTE generator]]: ~7/5 = 568.865


Mapping: [{{val| 1 0 6 7 }}, {{val| 0 3 -7 -8 }}]
Mapping: [{{val| 1 0 6 7 }}, {{val| 0 3 -7 -8 }}]
Line 695: Line 706:
Wedgie: {{wedgie| 3 -7 -8 -18 -21 1 }}
Wedgie: {{wedgie| 3 -7 -8 -18 -21 1 }}


{{Val list|legend=1| 17d, 19, 78bd, 97bd }}
{{Val list|legend=1| 19, 78bd, 97bd }}


Badness: 0.0592
Badness: 0.0592


==11-limit==
</div></div>
 
== 11-limit ==
 
Period: 1\1
 
Optimal ([[POTE]]) generator: ~7/5 = 569.144
 
EDO generators: [[19edo|9\19]], [[21edo|10\21]]
 
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">
 
Comma list: 45/44, 56/55, 1029/1000
Comma list: 45/44, 56/55, 1029/1000
POTE generator: ~7/5 = 569.144


Mapping: [{{val| 1 0 6 7 4 }}, {{val| 0 3 -7 -8 -1 }}]
Mapping: [{{val| 1 0 6 7 4 }}, {{val| 0 3 -7 -8 -1 }}]
Line 709: Line 733:


Badness: 0.0457
Badness: 0.0457
</div></div>


= Tritonic =
= Tritonic =
== 5-limit ==
== 5-limit ==
Period: 1\1
Optimal ([[POTE]]) generator: ~45/32 = 580.219
EDO generators: [[29edo|14\29]], [[31edo|15\31]], [[60edo|29\60]]
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">
Comma list: 553584375/536870912
Comma list: 553584375/536870912
POTE generator: ~45/32 = 580.219


Mapping: [{{val| 1 4 -3 }}, {{val| 0 -5 11 }}]
Mapping: [{{val| 1 4 -3 }}, {{val| 0 -5 11 }}]
Line 721: Line 758:


Badness: 0.3785
Badness: 0.3785
</div></div>


== 7-limit ==
== 7-limit ==
Period: 1\1
Optimal ([[POTE]]) generator: ~7/5 = 580.286
EDO generators: [[29edo|14\29]], [[31edo|15\31]], [[60edo|29\60]]
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">
Comma list: 225/224, 50421/50000
Comma list: 225/224, 50421/50000
POTE generator: ~7/5 = 580.286


Mapping: [{{val| 1 4 -3 -3 }}, {{val| 0 -5 11 12 }}]
Mapping: [{{val| 1 4 -3 -3 }}, {{val| 0 -5 11 12 }}]
Line 732: Line 782:


{{Val list|legend=1| 29, 31, 60, 91, 122, 213bcd }}
{{Val list|legend=1| 29, 31, 60, 91, 122, 213bcd }}
</div></div>


== 11-limit ==
== 11-limit ==
Period: 1\1
Optimal ([[POTE]]) generator: ~7/5 = 580.267
EDO generators: [[29edo|14\29]], [[31edo|15\31]], [[60edo|29\60]]
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">
Comma list: 121/120, 225/224, 441/440
Comma list: 121/120, 225/224, 441/440
POTE generator: ~7/5 = 580.267


Mapping: [{{val| 1 4 -3 -3 2 }}, {{val| 0 -5 11 12 3 }}]
Mapping: [{{val| 1 4 -3 -3 2 }}, {{val| 0 -5 11 12 3 }}]
Line 743: Line 806:


Badness: 0.0237
Badness: 0.0237
</div></div>


=== 13-limit ===
=== 13-limit ===
Period: 1\1
Optimal ([[POTE]]) generator: ~7/5 = 580.108
EDO generators: [[29edo|14\29]], [[31edo|15\31]], [[60edo|29\60]]
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">
Comma list: 105/104, 121/120, 196/195, 275/273
Comma list: 105/104, 121/120, 196/195, 275/273
POTE generator: ~7/5 = 580.108


Mapping: [{{val| 1 4 -3 -3 2 -5 }}, {{val| 0 -5 11 12 3 18 }}]
Mapping: [{{val| 1 4 -3 -3 2 -5 }}, {{val| 0 -5 11 12 3 18 }}]
Line 754: Line 830:


Badness: 0.0230
Badness: 0.0230
</div></div>


== Tritoni ==
== Tritoni ==
Period: 1\1
Optimal ([[POTE]]) generator: ~7/5 = 580.389
EDO generators: [[31edo|15\31]], [[91edo|44\91]], [[122edo|59\122]]
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">
Comma list: 225/224, 385/384, 27783/27500
Comma list: 225/224, 385/384, 27783/27500
POTE generator: ~7/5 = 580.389


Mapping: [{{val| 1 4 -3 -3 17 }}, {{val| 0 -5 11 12 -28 }}]
Mapping: [{{val| 1 4 -3 -3 17 }}, {{val| 0 -5 11 12 -28 }}]


{{Val list|legend=1| 31, 91, 122 }}
{{Val list|legend=1| 31, 91, 122, 153d }}


Badness: 0.0455
Badness: 0.0455
</div></div>


= Merman =
= Merman =
== 5-limit ==
Period: 1\1
Optimal ([[POTE]]) generator: ~45/32 = 585.634
EDO generators: [[41edo|20\41]], [[43edo|21\43]], [[84edo|41\84]]
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">
Comma list: 1121008359375/1099511627776
Comma list: 1121008359375/1099511627776
POTE generator: ~45/32 = 585.634


Mapping: [{{val| 1 5 -5 }}, {{val| 0 -7 15 }}]
Mapping: [{{val| 1 5 -5 }}, {{val| 0 -7 15 }}]
Line 776: Line 879:


Badness: 0.4538
Badness: 0.4538
</div></div>


== 7-limit ==
== 7-limit ==
Period: 1\1
Optimal ([[POTE]]) generator: ~7/5 = 585.585
EDO generators: [[41edo|20\41]], [[43edo|21\43]], [[84edo|41\84]]
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">
Comma list: 225/224, 2500000/2470629
Comma list: 225/224, 2500000/2470629
POTE generator: ~7/5 = 585.585


Mapping: [{{val| 1 5 -5 -5 }}, {{val| 0 -7 15 16 }}]
Mapping: [{{val| 1 5 -5 -5 }}, {{val| 0 -7 15 16 }}]
Line 789: Line 905:


Badness: 0.0551
Badness: 0.0551
</div></div>


== 11-limit ==
== 11-limit ==
Period: 1\1
Optimal ([[POTE]]) generator: ~7/5 = 585.606
EDO generators: [[41edo|20\41]], [[43edo|21\43]], [[84edo|41\84]]
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">
Comma list: 225/224, 441/440, 1344/1331
Comma list: 225/224, 441/440, 1344/1331
POTE generator: ~7/5 = 585.606


Mapping: [{{val| 1 5 -5 -5 2 }}, {{val| 0 -7 15 16 3 }}]
Mapping: [{{val| 1 5 -5 -5 2 }}, {{val| 0 -7 15 16 3 }}]
Line 800: Line 929:


Badness: 0.0364
Badness: 0.0364
</div></div>


== 13-limit ==
== 13-limit ==
Period: 1\1
Optimal ([[POTE]]) generator: ~7/5 = 585.657
EDO generators: [[41edo|20\41]], [[43edo|21\43]], [[84edo|41\84]]
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">
Comma list: 144/143, 225/224, 364/363, 441/440
Comma list: 144/143, 225/224, 364/363, 441/440
POTE generator: ~7/5 = 585.657


Mapping: [{{val| 1 5 -5 -5 2 12 }}, {{val| 0 -7 15 16 3 -17 }}]
Mapping: [{{val| 1 5 -5 -5 2 12 }}, {{val| 0 -7 15 16 3 -17 }}]
Line 811: Line 953:


Badness: 0.0275
Badness: 0.0275
</div></div>


= Septimin =
= Septimin =
== 5-limit ==
Period: 1\1
Optimal ([[POTE]]) generator: ~75/64 = 263.658
EDO generators: [[41edo|9\41]], [[50edo|11\50]], [[91edo|20\91]]
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">
Comma list: 35595703125/34359738368
Comma list: 35595703125/34359738368
POTE generator: ~75/64 = 263.658


Mapping: [{{val| 1 4 1 }}, {{val| 0 -11 6 }}]
Mapping: [{{val| 1 4 1 }}, {{val| 0 -11 6 }}]


{{Val list|legend=1| 9, 32, 41, 91, 132, 223c, 355bc }}
{{Val list|legend=1| 9, 23b, 32, 41, 91, 132, 223c, 355bc }}


Badness: 0.6709
Badness: 0.6709
</div></div>


== 7-limit ==
== 7-limit ==
Period: 1\1
Optimal ([[POTE]]) generator: ~7/6 = 263.632
EDO generators: [[41edo|9\41]], [[50edo|11\50]], [[91edo|20\91]]
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">
Comma list: 225/224, 84035/82944
Comma list: 225/224, 84035/82944
POTE generator: ~7/6 = 263.632


Mapping: [{{val| 1 4 1 5 }}, {{val| 0 -11 6 -10 }}]
Mapping: [{{val| 1 4 1 5 }}, {{val| 0 -11 6 -10 }}]
Line 832: Line 1,001:
Wedgie: {{wedgie| 11 -6 10 -35 -15 40 }}
Wedgie: {{wedgie| 11 -6 10 -35 -15 40 }}


{{Val list|legend=1| 9, 32, 41, 91, 132 }}
{{Val list|legend=1| 41, 91, 132 }}
 
</div></div>


== 11-limit ==
== 11-limit ==
Period: 1\1
Optimal ([[POTE]]) generator: ~7/6 = 263.634
EDO generators: [[41edo|9\41]], [[50edo|11\50]], [[91edo|20\91]]
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">
Comma list: 225/224, 385/384, 2401/2376
Comma list: 225/224, 385/384, 2401/2376


POTE generator: ~7/6 = 263.634
Mapping: [{{val| 1 4 1 5 5 }}, {{val| 0 -11 6 -10 -7 }}]


Mapping: [{{val| 1 4 1 5 5 }}, {{val| 0 -11 6 -10 -7 }}]
{{Val list|legend=1| 41, 91, 223cdef }}


{{Val list|legend=1| 9, 32, 41, 91, 223cdef }}
</div></div>


== 13-limit ==
== 13-limit ==
Period: 1\1
Optimal ([[POTE]]) generator: ~7/6 = 263.700
EDO generators: [[41edo|9\41]], [[50edo|11\50]], [[91edo|20\91]]
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">
Comma list: 105/104, 144/143, 196/195, 245/242
Comma list: 105/104, 144/143, 196/195, 245/242


POTE generator: ~7/6 = 263.700
Mapping: [{{val| 1 4 1 5 5 7 }}, {{val| 0 -11 6 -10 -7 -15 }}]


Mapping: [{{val| 1 4 1 5 5 7 }}, {{val| 0 -11 6 -10 -7 -15 }}]
{{Val list|legend=1| 41, 91 }}


{{Val list|legend=1| 9, 41, 91 }}
</div></div>


= Slender =
= Slender =
Period: 1\1
Optimal ([[POTE]]) generator: ~49/48 = 38.413
EDO generators: [[31edo|1\31]], [[32edo|1\32]], [[63edo|2\63]], [[94edo|3\94]]
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">
Comma list: 225/224, 589824/588245
Comma list: 225/224, 589824/588245
POTE generator: ~49/48 = 38.413


Mapping: [{{val| 1 2 2 3 }}, {{val| 0 -13 10 -6 }}]
Mapping: [{{val| 1 2 2 3 }}, {{val| 0 -13 10 -6 }}]
Line 865: Line 1,073:
Badness: 0.0569
Badness: 0.0569


==11-limit==
</div></div>
 
== 11-limit ==
 
Period: 1\1
 
Optimal ([[POTE]]) generator: ~49/48 = 38.387
 
EDO generators: [[31edo|1\31]], [[32edo|1\32]], [[63edo|2\63]], [[94edo|3\94]]
 
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">
 
Comma list: 225/224, 385/384, 1331/1323
Comma list: 225/224, 385/384, 1331/1323
POTE generator: ~49/48 = 38.387


Mapping: [{{val| 1 2 2 3 4 }}, {{val| 0 -13 10 -6 -17 }}]
Mapping: [{{val| 1 2 2 3 4 }}, {{val| 0 -13 10 -6 -17 }}]
Line 874: Line 1,095:
{{Val list|legend=1| 31, 63, 94, 125 }}
{{Val list|legend=1| 31, 63, 94, 125 }}


Badness: 25.342
Badness: 0.02534
 
</div></div>


== 13-limit ==
== 13-limit ==
Period: 1\1
Optimal ([[POTE]]) generator: ~49/48 = 38.314
EDO generators: [[31edo|1\31]], [[32edo|1\32]], [[63edo|2\63]], [[94edo|3\94]]
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">
Comma list: 225/224, 275/273, 385/384, 1331/1323
Comma list: 225/224, 275/273, 385/384, 1331/1323
POTE generator: ~49/48 = 38.314


Mapping: [{{val| 1 2 2 3 4 3 }}, {{val| 0 -13 10 -6 -17 22 }}]
Mapping: [{{val| 1 2 2 3 4 3 }}, {{val| 0 -13 10 -6 -17 22 }}]
Line 885: Line 1,119:
{{Val list|legend=1| 31, 63, 94 }}
{{Val list|legend=1| 31, 63, 94 }}


Badness: 25.913
Badness: 0.02591
 
</div></div>


= Marvo =
= Marvo =
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