Miscellaneous 5-limit temperaments: Difference between revisions

Make "untriton" the 5-limit title
Fix subtitle levels; remove databoxes introduced during RTT restriction era
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= Hogzilla =
== Hogzilla ==
Comma: 4428675/4194304
Comma: 4428675/4194304


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Badness: 0.4247
Badness: 0.4247


= Archaeotherium =
== Archaeotherium ==
Comma: 597871125/536870912
Comma: 597871125/536870912


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Badness: 1.4349
Badness: 1.4349


= Stump =
== Stump ==
{{see also| Sensamagic clan #Pycnic }}
{{see also| Sensamagic clan #Pycnic }}
{{see also| Marvel temperaments #Triton }}
{{see also| Marvel temperaments #Triton }}
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Badness: 0.2006
Badness: 0.2006


= Unsmate =
== Unsmate ==
Comma: 17578125/16777216
Comma: 17578125/16777216


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Badness: 0.4602
Badness: 0.4602


= Chromo =
== Chromo ==
Comma: 1220703125/1146617856
Comma: 1220703125/1146617856


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Badness: 0.8428
Badness: 0.8428


= Wizard =
== Wizard ==
 
{{see also| Marvel temperaments #Wizard }}
{{see also| Marvel temperaments #Wizard }}
Period: 1\2
Optimal ([[POTE]]) generator: ~5/4 = 383.212
EDO generators: [[22edo|7\22]], [[50edo|16\50]], [[72edo|23\72]], [[94edo|30\94]]
Scales (Scala files): [[wizard22]]
<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: 2197265625/2147483648
Comma list: 2197265625/2147483648
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Mapping generators: ~42875/32768, ~9375/8192
Mapping generators: ~42875/32768, ~9375/8192
[[POTE generator]]: ~5/4 = 383.212


{{Val list|legend=1| 22, 50, 72, 166, 238c, 310c, 548bc }}
{{Val list|legend=1| 22, 50, 72, 166, 238c, 310c, 548bc }}
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Badness: 0.3864
Badness: 0.3864


</div></div>
Scales (Scala files): [[wizard22]]
 
= Tritonic =


== Tritonic ==
{{see also| Marvel temperaments #Tritonic }}
{{see also| Marvel temperaments #Tritonic }}
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


Mapping: [{{val| 1 4 -3 }}, {{val| 0 -5 11 }}]
Mapping: [{{val| 1 4 -3 }}, {{val| 0 -5 11 }}]
[[POTE generator]]: ~45/32 = 580.219


{{Val list|legend=1| 29, 31, 60, 91 }}
{{Val list|legend=1| 29, 31, 60, 91 }}
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Badness: 0.3785
Badness: 0.3785


</div></div>
== Merman ==
 
= Merman =
 
{{see also| Marvel temperaments #Merman }}
{{see also| Marvel temperaments #Merman }}
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


Mapping: [{{val| 1 5 -5 }}, {{val| 0 -7 15 }}]
Mapping: [{{val| 1 5 -5 }}, {{val| 0 -7 15 }}]
[[POTE generator]]: ~45/32 = 585.634


{{Val list|legend=1| 41, 84, 125, 209, 334c, 543bc }}
{{Val list|legend=1| 41, 84, 125, 209, 334c, 543bc }}
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Badness: 0.4538
Badness: 0.4538


</div></div>
== Septimin ==
 
= Septimin =
 
{{see also| Marvel temperaments #Septimin }}
{{see also| Marvel temperaments #Septimin }}
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


Mapping: [{{val| 1 4 1 }}, {{val| 0 -11 6 }}]
Mapping: [{{val| 1 4 1 }}, {{val| 0 -11 6 }}]
[[POTE generator]]: ~75/64 = 263.658


{{Val list|legend=1| 9, 23b, 32, 41, 91, 132, 223c, 355bc }}
{{Val list|legend=1| 9, 23b, 32, 41, 91, 132, 223c, 355bc }}
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Badness: 0.6709
Badness: 0.6709


</div></div>
== Undeka ==
 
= Undeka =
Comma: 48828125/45349632
Comma: 48828125/45349632


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Badness: 0.7275
Badness: 0.7275


== 7-limit ==
=== 7-limit ===
Commas: 875/864, 3200/3087
Commas: 875/864, 3200/3087


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Badness: 0.1418
Badness: 0.1418


== 11-limit ==
=== 11-limit ===
Commas: 100/99, 352/343, 385/384
Commas: 100/99, 352/343, 385/384


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Badness: 0.0687
Badness: 0.0687


== 13-limit ==
=== 13-limit ===
Commas: 65/63, 100/99, 169/165, 352/343
Commas: 65/63, 100/99, 169/165, 352/343


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Badness: 0.0565
Badness: 0.0565


= Triskaidekic =
== Triskaidekic ==
Comma: 1220703125/1073741824
Comma: 1220703125/1073741824


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Badness: 2.2416
Badness: 2.2416


== 7-limit ==
=== 7-limit ===
Commas: 1728/1715, 1875/1792
Commas: 1728/1715, 1875/1792


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Badness: 0.2190
Badness: 0.2190


== 11-limit ==
=== 11-limit ===
Commas: 99/98, 125/121, 385/384
Commas: 99/98, 125/121, 385/384


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Badness: 0.0988
Badness: 0.0988


== 13-limit ==
=== 13-limit ===
Commas: 78/77, 99/98, 125/121, 1200/1183
Commas: 78/77, 99/98, 125/121, 1200/1183


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Badness: 0.0592
Badness: 0.0592


= Phillips =
== Phillips ==
Comma: 9685512225/8589934592
Comma: 9685512225/8589934592


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Badness: 2.2289
Badness: 2.2289


= Oncle =
== Oncle ==
Comma: 145282683375/137438953472
Comma: 145282683375/137438953472


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Badness: 1.2447
Badness: 1.2447


= Quasimoha =
== Quasimoha ==
Comma: 2353579470675/2199023255552
Comma: 2353579470675/2199023255552


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Badness: 1.9867
Badness: 1.9867


= Genocchi =
== Genocchi ==
Comma: 2359296/1953125
Comma: 2359296/1953125


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Badness: 1.4050
Badness: 1.4050


= Misneb =
== Misneb ==
Commas: 145964630126953125/144115188075855872
Commas: 145964630126953125/144115188075855872


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Badness: 0.6095
Badness: 0.6095


== 7-limit ==
=== 7-limit ===
Commas: 225/224, 4194304/4117715  
Commas: 225/224, 4194304/4117715  


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Badness: 0.1410
Badness: 0.1410


== 11-limit ==
=== 11-limit ===
Commas: 99/98, 176/175, 1310720/1294139
Commas: 99/98, 176/175, 1310720/1294139


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Badness: 0.0854
Badness: 0.0854


=== 13-limit ===
==== 13-limit ====
Commas: 99/98, 176/175, 640/637 847/845
Commas: 99/98, 176/175, 640/637 847/845


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Badness: 0.0456
Badness: 0.0456


== Musneb ==
=== Musneb ===
Commas: 225/224, 385/384, 66550/64827
Commas: 225/224, 385/384, 66550/64827


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Badness: 0.0873
Badness: 0.0873


= Untriton =
== Untriton ==
Comma: 2270041927734375/2251799813685248
Comma: 2270041927734375/2251799813685248


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Badness: 0.3071
Badness: 0.3071


== 7-limit ==
=== 7-limit ===
Commas: 225/224, 125000000/121060821
Commas: 225/224, 125000000/121060821


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Badness: 0.1440
Badness: 0.1440


=== 11-limit ===
==== 11-limit ====
Commas: 121/120, 225/224, 22000/21609
Commas: 121/120, 225/224, 22000/21609


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Badness: 0.0743
Badness: 0.0743


=== 13-limit ===
==== 13-limit ====
Commas: 121/120, 225/224, 275/273, 1040/1029
Commas: 121/120, 225/224, 275/273, 1040/1029


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Badness: 0.0474
Badness: 0.0474


== Aufo ==
=== Aufo ===
Commas: 6144/6125, 177147/175616
Commas: 6144/6125, 177147/175616


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Badness: 0.1214
Badness: 0.1214


= Vinegar =
== Vinegar ==
Comma: 16000000/14348907
Comma: 16000000/14348907


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Badness: 0.9030
Badness: 0.9030


= Wronecki =
== Wronecki ==
Comma: 531441/500000
Comma: 531441/500000


Line 437: Line 387:
Badness: 0.3418
Badness: 0.3418


[[Category:Theory]]
[[Category:Regular temperament theory]]
[[Category:Temperament]]
[[Category:Temperament collection]]