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Marvel temperaments: Difference between revisions

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= Marvo =
= Marvo =
{{see also| Gravity family }}
{{see also| Gravity family }}
Period: 1\1
Optimal ([[POTE]]) generator: ~27/20 = 516.694
EDO generators: [[65edo|28\65]], [[72edo|31\72]], [[137edo|59\137]]
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, 78125000/78121827
Comma list: 225/224, 78125000/78121827
[[POTE generator]]: ~27/20 = 516.694


Mapping: [{{val| 1 5 12 29 }}, {{val| 0 -6 -17 -46 }}]
Mapping: [{{val| 1 5 12 29 }}, {{val| 0 -6 -17 -46 }}]
Line 1,042: Line 1,052:
Wedgie: {{wedgie| 6 17 46 13 56 59 }}
Wedgie: {{wedgie| 6 17 46 13 56 59 }}


{{Val list|legend=1| 7d, 65d, 72, 137, 209, 281, 569bcc }}
{{Val list|legend=1| 65d, 72, 137, 209, 281, 569bcc }}


Badness: 0.0976
Badness: 0.0976
</div></div>


== 11-limit ==
== 11-limit ==
Period: 1\1
Optimal ([[POTE]]) generator: ~27/20 = 516.699
EDO generators: [[65edo|28\65]], [[72edo|31\72]], [[137edo|59\137]]
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, 243/242, 4000/3993
Comma list: 225/224, 243/242, 4000/3993
POTE generator: ~27/20 = 516.699


Mapping: [{{val| 1 5 12 29 12 }}, {{val| 0 -6 -17 -46 -15 }}]
Mapping: [{{val| 1 5 12 29 12 }}, {{val| 0 -6 -17 -46 -15 }}]


{{Val list|legend=1| 7d, 65d, 72, 281, 353c, 425bc, 497bc }}
{{Val list|legend=1| 65d, 72, 281, 353c, 425bc, 497bc }}


Badness: 0.0317
Badness: 0.0317
</div></div>


== 13-limit ==
== 13-limit ==
Period: 1\1
Optimal ([[POTE]]) generator: ~27/20 = 516.730
EDO generators: [[65edo|28\65]], [[72edo|31\72]], [[137edo|59\137]]
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, 243/242, 351/350, 1625/1617
Comma list: 225/224, 243/242, 351/350, 1625/1617
POTE generator: ~27/20 = 516.730


Mapping: [{{val| 1 5 12 29 12 39 }}, {{val| 0 -6 -17 -46 -15 -62 }}]
Mapping: [{{val| 1 5 12 29 12 39 }}, {{val| 0 -6 -17 -46 -15 -62 }}]


{{Val list|legend=1| 72, 137, 209, 281f, 490bcf }}
{{Val list|legend=1| 65d, 72, 137, 209, 281f, 490bcf }}


Badness: 0.0269
Badness: 0.0269
</div></div>


= Marvolo =
= Marvolo =
Period: 1\1
Optimal ([[POTE]]) generator: ~21/20 = 83.348
EDO generators: [[29edo|2\29]], [[43edo|3\43]], [[72edo|5\72]]
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, 156250000/155649627
Comma list: 225/224, 156250000/155649627
POTE generator: ~21/20 = 83.348


Mapping: [{{val| 1 2 1 1 }}, {{val| 0 -6 19 26 }}]
Mapping: [{{val| 1 2 1 1 }}, {{val| 0 -6 19 26 }}]
Line 1,080: Line 1,129:


Badness: 0.0833
Badness: 0.0833
</div></div>


== 11-limit ==
== 11-limit ==
Period: 1\1
Optimal ([[POTE]]) generator: ~21/20 = 83.340
EDO generators: [[29edo|2\29]], [[43edo|3\43]], [[72edo|5\72]]
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, 4000/3993
Comma list: 225/224, 441/440, 4000/3993
POTE generator: ~21/20 = 83.340


Mapping: [{{val| 1 2 1 1 2 }}, {{val| 0 -6 19 26 21 }}]
Mapping: [{{val| 1 2 1 1 2 }}, {{val| 0 -6 19 26 21 }}]
Line 1,091: Line 1,153:


Badness: 0.0290
Badness: 0.0290
</div></div>


== 13-limit ==
== 13-limit ==
Period: 1\1
Optimal ([[POTE]]) generator: ~21/20 = 83.330
EDO generators: [[29edo|2\29]], [[43edo|3\43]], [[72edo|5\72]]
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: 169/168, 225/224, 364/363, 441/440
Comma list: 169/168, 225/224, 364/363, 441/440
POTE generator: ~21/20 = 83.330


Mapping: [{{val| 1 2 1 1 2 3 }}, {{val| 0 -6 19 26 21 10 }}]
Mapping: [{{val| 1 2 1 1 2 3 }}, {{val| 0 -6 19 26 21 10 }}]
Line 1,102: Line 1,177:


Badness: 0.0215
Badness: 0.0215
</div></div>


= Amavil =
= Amavil =
== 5-limit (mabila) ==
== 5-limit (mabila) ==
Period: 1\1
Optimal ([[POTE]]) generator: ~512/375 = 529.6849
EDO generators: [[34edo|15\34]], [[43edo|19\43]], [[77edo|34\77]], [[111edo|49\111]]
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: 268435456/263671875
Comma list: 268435456/263671875
POTE generator: ~512/375 = 529.6849


Mapping: [{{val| 1 6 1 }}, {{val| 0 -10 3 }}]
Mapping: [{{val| 1 6 1 }}, {{val| 0 -10 3 }}]
Line 1,114: Line 1,202:


Badness: 0.2325
Badness: 0.2325
</div></div>


== 7-limit ==
== 7-limit ==
Period: 1\1
Optimal ([[POTE]]) generator: ~48/35 = 529.979
EDO generators: [[34edo|15\34]], [[43edo|19\43]]
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, 17496/16807
Comma list: 225/224, 17496/16807
POTE generator: ~48/35 = 529.979


Mapping: [{{val| 1 6 1 9 }}, {{val| 0 -10 3 -14 }}]
Mapping: [{{val| 1 6 1 9 }}, {{val| 0 -10 3 -14 }}]
Line 1,124: Line 1,225:
Wedgie: {{wedgie| 10 -3 14 -28 -6 41 }}
Wedgie: {{wedgie| 10 -3 14 -28 -6 41 }}


{{Val list|legend=1| 9, 34d, 43, 77d }}
{{Val list|legend=1| 9, 25d, 34d, 43, 77d }}


Badness: 0.1096
Badness: 0.1096
</div></div>


== 11-limit ==
== 11-limit ==
Period: 1\1
Optimal ([[POTE]]) generator: ~15/11 = 529.974
EDO generators: [[34edo|15\34]], [[43edo|19\43]]
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: 99/98, 176/175, 864/847
Comma list: 99/98, 176/175, 864/847
POTE generator: ~15/11 = 529.974


Mapping: [{{val| 1 6 1 9 7 }}, {{val| 0 -10 3 -14 -8 }}]
Mapping: [{{val| 1 6 1 9 7 }}, {{val| 0 -10 3 -14 -8 }}]
Line 1,138: Line 1,252:


Badness: 0.0426
Badness: 0.0426
</div></div>


== 13-limit ==
== 13-limit ==
Period: 1\1
Optimal ([[POTE]]) generator: ~15/11 = 529.951
EDO generators: [[34edo|15\34]], [[43edo|19\43]]
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: 78/77, 99/98, 144/143, 176/175
Comma list: 78/77, 99/98, 144/143, 176/175
POTE generator: ~15/11 = 529.951


Mapping: [{{val| 1 6 1 9 7 9 }}, {{val| 0 -10 3 -14 -8 -12 }}]
Mapping: [{{val| 1 6 1 9 7 9 }}, {{val| 0 -10 3 -14 -8 -12 }}]
Line 1,149: Line 1,276:


Badness: 0.0258
Badness: 0.0258
</div></div>


= Enneaportent =
= Enneaportent =
Period: 1\9
Optimal ([[POTE]]) generator: ~5/4 = 383.165
EDO generators: [[63edo|20\63]], [[72edo|23\72]], [[81edo|26\81]]
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, 40353607/40310784
Comma list: 225/224, 40353607/40310784
POTE generator: ~5/4 = 383.165


Mapping: [{{val| 9 0 28 11 }}, {{val| 0 2 -1 2 }}]
Mapping: [{{val| 9 0 28 11 }}, {{val| 0 2 -1 2 }}]
Line 1,159: Line 1,299:
Wedgie: {{wedgie| 18 -9 18 -56 -22 67 }}
Wedgie: {{wedgie| 18 -9 18 -56 -22 67 }}


{{Val list|legend=1| 9, 54, 63, 72, 495bcd }}
{{Val list|legend=1| 63, 72, 495bcd }}


Badness: 0.0937
Badness: 0.0937
</div></div>


== 11-limit ==
== 11-limit ==
Period: 1\9
Optimal ([[POTE]]) generator: ~5/4 = 383.146
EDO generators: [[63edo|20\63]], [[72edo|23\72]], [[81edo|26\81]]
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, 12005/11979
Comma list: 225/224, 385/384, 12005/11979
POTE generator: ~5/4 = 383.146


Mapping: [{{val| 9 0 28 11 24 }}, {{val| 0 2 -1 2 1 }}]
Mapping: [{{val| 9 0 28 11 24 }}, {{val| 0 2 -1 2 1 }}]


{{Val list|legend=1| 9, 54, 63, 72, 423cd, 495bcd }}
{{Val list|legend=1| 63, 72, 423cd, 495bcd }}


Badness: 0.0304
Badness: 0.0304
</div></div>


== 13-limit ==
== 13-limit ==
Period: 1\9
Optimal ([[POTE]]) generator: ~5/4 = 383.047
EDO generators: [[63edo|20\63]], [[72edo|23\72]], [[81edo|26\81]]
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: 169/168, 225/224, 364/363, 1716/1715
Comma list: 169/168, 225/224, 364/363, 1716/1715
POTE generator: ~5/4 = 383.047


Mapping: [{{val| 9 0 28 11 24 19 }}, {{val| 0 2 -1 2 1 2 }}]
Mapping: [{{val| 9 0 28 11 24 19 }}, {{val| 0 2 -1 2 1 2 }}]


{{Val list|legend=1| 9, 54, 63, 72, 279cf }}
{{Val list|legend=1| 63, 72, 279cf }}


Badness: 0.0223
Badness: 0.0223
</div></div>


= Submajor =
= Submajor =
== 5-limit ==
== 5-limit ==
Period: 1\1
Optimal ([[POTE]]) generator: ~10125/8192 = 362.321
EDO generators: [[43edo|13\43]], [[53edo|16\53]], [[63edo|19\63]], [[96edo|29\96]], [[116edo|35\116]]
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: 69198046875/68719476736
Comma list: 69198046875/68719476736
POTE generator: ~10125/8192 = 362.321


Mapping: [{{val| 1 4 -1 }}, {{val| 0 -8 11 }}]
Mapping: [{{val| 1 4 -1 }}, {{val| 0 -8 11 }}]
Line 1,196: Line 1,375:


Badness: 0.1302
Badness: 0.1302
</div></div>


== 7-limit ==
== 7-limit ==
Period: 1\1
Optimal ([[POTE]]) generator: ~49/40 = 362.255
EDO generators: [[43edo|13\43]], [[53edo|16\53]], [[63edo|19\63]], [[96edo|29\96]], [[116edo|35\116]]
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, 51200/50421
Comma list: 225/224, 51200/50421
POTE generator: ~49/40 = 362.255


Mapping: [{{val| 1 4 -1 1 }}, {{val| 0 -8 11 6 }}]
Mapping: [{{val| 1 4 -1 1 }}, {{val| 0 -8 11 6 }}]
Line 1,209: Line 1,401:


Badness: 0.0605
Badness: 0.0605
</div></div>


== 11-limit ==
== 11-limit ==
Period: 1\1
Optimal ([[POTE]]) generator: ~27/22 = 362.101
EDO generators: [[53edo|16\53]], [[63edo|19\63]], [[116edo|35\116]]
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, 6655/6561
Comma list: 225/224, 385/384, 6655/6561
POTE generator: ~27/22 = 362.101


Mapping: [{{val| 1 4 -1 1 11 }}, {{val| 0 -8 11 6 -25 }}]
Mapping: [{{val| 1 4 -1 1 11 }}, {{val| 0 -8 11 6 -25 }}]


{{Val list|legend=1| 10, 53, 116, 169de, 285cde }}
{{Val list|legend=1| 53, 116, 169de, 285cde }}


Badness: 0.0506
Badness: 0.0506
</div></div>


=== 13-limit ===
=== 13-limit ===
Period: 1\1
Optimal ([[POTE]]) generator: ~16/13 = 362.105
EDO generators: [[53edo|16\53]], [[63edo|19\63]], [[116edo|35\116]]
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: 169/168, 225/224, 275/273, 385/384
Comma list: 169/168, 225/224, 275/273, 385/384
POTE generator: ~16/13 = 362.105


Mapping: [{{val| 1 4 -1 1 11 4 }}, {{val| 0 -8 11 6 -25 -1 }}]
Mapping: [{{val| 1 4 -1 1 11 4 }}, {{val| 0 -8 11 6 -25 -1 }}]


{{Val list|legend=1| 10, 53, 116, 169de, 285cdef }}
{{Val list|legend=1| 53, 116, 169de, 285cdef }}


Badness: 0.0277
Badness: 0.0277
</div></div>


== Interpental ==
== Interpental ==
Period: 1\1
Optimal ([[POTE]]) generator: ~49/40 = 362.418
EDO generators: [[43edo|13\43]], [[53edo|16\53]], [[96edo|29\96]]
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: 99/98, 176/175, 51200/50421
Comma list: 99/98, 176/175, 51200/50421


Line 1,242: Line 1,475:


Badness: 0.0518
Badness: 0.0518
</div></div>


=== 13-limit ===
=== 13-limit ===
Period: 1\1
Optimal ([[POTE]]) generator: ~16/13 = 362.402
EDO generators: [[43edo|13\43]], [[53edo|16\53]], [[96edo|29\96]]
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: 99/98, 169/168, 176/175, 640/637
Comma list: 99/98, 169/168, 176/175, 640/637


Line 1,253: Line 1,501:


Badness: 0.0297
Badness: 0.0297
</div></div>


= Alphorn =
= Alphorn =
Period: 1\1
Optimal ([[POTE]]) generator: ~48/35 = 556.221
EDO generators: [[28edo|13\28]], [[41edo|19\41]]
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, 5764801/5668704
Comma list: 225/224, 5764801/5668704
POTE generator: ~48/35 = 556.221


Mapping: [{{val| 1 9 0 13 }}, {{val| 0 -16 5 -22 }}]
Mapping: [{{val| 1 9 0 13 }}, {{val| 0 -16 5 -22 }}]
Line 1,266: Line 1,527:


Badness: 0.1293
Badness: 0.1293
</div></div>


== 11-limit ==
== 11-limit ==
Period: 1\1
Optimal ([[POTE]]) generator: ~11/8 = 556.144
EDO generators: [[28edo|13\28]], [[41edo|19\41]]
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, 12250/11979
Comma list: 225/224, 385/384, 12250/11979
POTE generator: ~11/8 = 556.144


Mapping: [{{val| 1 9 0 13 3 }}, {{val| 0 -16 5 -22 1 }}]
Mapping: [{{val| 1 9 0 13 3 }}, {{val| 0 -16 5 -22 1 }}]


{{Val list|legend=1| 41, 315cde }}
{{Val list|legend=1| 28d, 41, 315cde }}


Badness: 0.0735
Badness: 0.0735
</div></div>


[[Category:Theory]]
[[Category:Theory]]
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