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Marvel temperaments: Difference between revisions

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→Negri: +wilsec, an 11-limit extension, copied from slendro clan
→Negri: databoxified
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== 5-limit ==
== 5-limit ==
Note that this is technically not a marvel temperament until the 7-limit, but also placed here for reference.  
Negri tempers out the [[negri comma]] in the 5-limit.
 
Period: 1\1
 
Optimal ([[POTE]]) generator: ~16/15 = 125.7549
 
EDO generators: [[9edo|1\9]], [[10edo|1\10]], [[19edo|2\19]]
 
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


[[Comma list]]: 16875/16384
[[Comma list]]: 16875/16384
[[POTE generator]]: ~16/15 = 125.7549


[[Mapping]]: [{{val| 1 2 2 }}, {{val| 0 -4 3 }}]
[[Mapping]]: [{{val| 1 2 2 }}, {{val| 0 -4 3 }}]
Line 22: Line 34:


{{Val list|legend=1| 9, 10, 19, 67c, 86c, 105c }}
{{Val list|legend=1| 9, 10, 19, 67c, 86c, 105c }}
</div></div>


== 7-limit ==
== 7-limit ==
Period: 1\1
Optimal ([[POTE]]) generator: ~15/14 = 125.608
EDO generators: [[9edo|1\9]], [[10edo|1\10]], [[19edo|2\19]]
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]]: 49/48, 225/224
[[Comma list]]: 49/48, 225/224
[[POTE generator]]: ~15/14 = 125.608


[[Mapping]]: [{{val| 1 2 2 3 }}, {{val| 0 -4 3 -2 }}]
[[Mapping]]: [{{val| 1 2 2 3 }}, {{val| 0 -4 3 -2 }}]
Line 33: Line 60:


{{Val list|legend=1| 9, 10, 19, 48d, 67cdd, 86cdd }}
{{Val list|legend=1| 9, 10, 19, 48d, 67cdd, 86cdd }}
</div></div>


== 11-limit ==
== 11-limit ==
Period: 1\1
Optimal ([[POTE]]) generator: ~15/14 = 126.474
EDO generators: [[9edo|1\9]], [[10edo|1\10]], [[19edo|2\19]]
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: 45/44, 49/48, 56/55
Comma list: 45/44, 49/48, 56/55
[[POTE generator]]: ~15/14 = 126.474


Mapping: [{{val| 1 2 2 3 4 }}, {{val| 0 -4 3 -2 -5 }}]
Mapping: [{{val| 1 2 2 3 4 }}, {{val| 0 -4 3 -2 -5 }}]
Line 44: Line 86:


[[Badness]]: 0.0262
[[Badness]]: 0.0262
</div></div>


=== 13-limit ===
=== 13-limit ===
Period: 1\1
Optimal ([[POTE]]) generator: ~14/13 = 126.431
EDO generators: [[9edo|1\9]], [[10edo|1\10]], [[19edo|2\19]]
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: 45/44, 49/48, 56/55, 78/77
Comma list: 45/44, 49/48, 56/55, 78/77


Line 53: Line 112:


{{Val list|legend=1| 9, 10, 19 }}
{{Val list|legend=1| 9, 10, 19 }}
</div></div>


== Negril ==
== Negril ==
Period: 1\1
Optimal ([[POTE]]) generator: ~15/14 = 124.767
EDO generators: [[19edo|2\19]], [[29edo|3\29]]
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: 49/48, 100/99, 225/224
Comma list: 49/48, 100/99, 225/224
POTE generator: ~15/14 = 124.767


Mapping: [{{val| 1 2 2 3 2 }}, {{val| 0 -4 3 -2 14 }}]
Mapping: [{{val| 1 2 2 3 2 }}, {{val| 0 -4 3 -2 14 }}]
Line 64: Line 138:


Badness: 0.0387
Badness: 0.0387
</div></div>


=== 13-limit ===
=== 13-limit ===
Period: 1\1
Optimal ([[POTE]]) generator: ~14/13 = 124.716
EDO generators: [[19edo|2\19]], [[29edo|3\29]]
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: 49/48, 65/64, 91/90, 875/858
Comma list: 49/48, 65/64, 91/90, 875/858
POTE generator: ~15/14 = 124.716


Mapping: [{{val| 1 2 2 3 2 4 }}, {{val| 0 -4 3 -2 14 -3 }}]
Mapping: [{{val| 1 2 2 3 2 4 }}, {{val| 0 -4 3 -2 14 -3 }}]
Line 75: Line 164:


Badness: 0.0244
Badness: 0.0244
</div></div>


== Negric ==
== Negric ==
Period: 1\1
Optimal ([[POTE]]) generator: ~15/14 = 127.039
EDO generators: [[9edo|1\9]], [[19edo|2\19]]
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: 33/32, 49/48, 77/75
Comma list: 33/32, 49/48, 77/75
POTE generator: ~15/14 = 127.039


Mapping: [{{val| 1 2 2 3 3 }}, {{val| 0 -4 3 -2 4 }}]
Mapping: [{{val| 1 2 2 3 3 }}, {{val| 0 -4 3 -2 4 }}]
Line 86: Line 190:


Badness: 0.0306
Badness: 0.0306
</div></div>


=== 13-limit ===
=== 13-limit ===
Period: 1\1
Optimal ([[POTE]]) generator: ~14/13 = 127.039
EDO generators: [[9edo|1\9]], [[19edo|2\19]]
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: 33/32, 49/48, 65/64, 91/90
Comma list: 33/32, 49/48, 65/64, 91/90
POTE generator: ~15/14 = 127.039


Mapping: [{{val| 1 2 2 3 3 4 }}, {{val| 0 -4 3 -2 4 -3 }}]
Mapping: [{{val| 1 2 2 3 3 4 }}, {{val| 0 -4 3 -2 4 -3 }}]
Line 97: Line 216:


Badness: 0.0202
Badness: 0.0202
</div></div>


== Negroni ==
== Negroni ==
Period: 1\1
Optimal ([[POTE]]) generator: ~15/14 = 124.539
EDO generators: [[10edo|1\10]], [[19edo|2\19]], [[29edo|3\29]]
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: 49/48, 55/54, 225/224
Comma list: 49/48, 55/54, 225/224
POTE generator: ~15/14 = 124.539


Mapping: [{{val| 1 2 2 3 5 }}, {{val| 0 -4 3 -2 -15 }}]
Mapping: [{{val| 1 2 2 3 5 }}, {{val| 0 -4 3 -2 -15 }}]
Line 108: Line 242:


Badness: 0.0353
Badness: 0.0353
</div></div>


=== 13-limit ===
=== 13-limit ===
Period: 1\1
Optimal ([[POTE]]) generator: ~14/13 = 124.545
EDO generators: [[10edo|1\10]], [[19edo|2\19]], [[29edo|3\29]]
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: 49/48, 55/54, 65/64, 91/90
Comma list: 49/48, 55/54, 65/64, 91/90
POTE generator: ~15/14 = 124.545


Mapping: [{{val| 1 2 2 3 5 4 }}, {{val| 0 -4 3 -2 -15 -3 }}]
Mapping: [{{val| 1 2 2 3 5 4 }}, {{val| 0 -4 3 -2 -15 -3 }}]
Line 119: Line 268:


Badness: 0.0216
Badness: 0.0216
</div></div>


== Wilsec ==
== Wilsec ==
Period: 1\1
Optimal ([[POTE]]) generator: ~11/8 = 537.186
EDO generators: [[29edo|13\29]], [[38edo|17\38]]
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: 49/48, 121/120, 225/224
Comma list: 49/48, 121/120, 225/224
POTE generator: ~11/8 = 537.186


Mapping: [{{val| 1 6 -1 5 4 }}, {{val| 0 -8 6 -4 -1 }}]
Mapping: [{{val| 1 6 -1 5 4 }}, {{val| 0 -8 6 -4 -1 }}]


{{Val list|legend=1| 9, 20, 29, 38d, 67cde }}
{{Val list|legend=1| 9, 20, 29, 38d, 67cdde }}


Badness: 0.0419
Badness: 0.0419
</div></div>


=== 13-limit ===
=== 13-limit ===
Period: 1\1
Optimal ([[POTE]]) generator: ~11/8 = 537.208
EDO generators: [[29edo|13\29]], [[38edo|17\38]]
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: 49/48, 65/64, 91/90, 121/120
Comma list: 49/48, 65/64, 91/90, 121/120
POTE generator: ~11/8 = 537.208


Mapping: [{{val| 1 6 -1 5 4 7 }}, {{val| 0 -8 6 -4 -1 -6 }}]
Mapping: [{{val| 1 6 -1 5 4 7 }}, {{val| 0 -8 6 -4 -1 -6 }}]


{{Val list|legend=1| 9, 20, 29, 38df, 67cdef }}
{{Val list|legend=1| 9, 20, 29, 38df, 67cddef }}


Badness: 0.0252
Badness: 0.0252
</div></div>


=== 17-limit ===
=== 17-limit ===
Period: 1\1
Optimal ([[POTE]]) generator: ~11/8 = 537.230
EDO generators: [[29edo|13\29]], [[38edo|17\38]]
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: 49/48, 65/64, 91/90, 121/120, 154/153
Comma list: 49/48, 65/64, 91/90, 121/120, 154/153
POTE generator: ~11/8 = 537.230


Mapping: [{{val| 1 6 -1 5 4 7 -2 }}, {{val| 0 -8 6 -4 -1 -6 11 }}]
Mapping: [{{val| 1 6 -1 5 4 7 -2 }}, {{val| 0 -8 6 -4 -1 -6 11 }}]


{{Val list|legend=1| 9, 29g, 38df, 67cdefg }}
{{Val list|legend=1| 9, 20g, 29g, 38df, 67cddefg }}


Badness: 0.0218
Badness: 0.0218
</div></div>


=== 19-limit ===
=== 19-limit ===
Period: 1\1
Optimal ([[POTE]]) generator: ~11/8 = 537.214
EDO generators: [[29edo|13\29]], [[38edo|17\38]]
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: 49/48, 65/64, 77/76, 91/90, 121/120, 154/153
Comma list: 49/48, 65/64, 77/76, 91/90, 121/120, 154/153
POTE generator: ~11/8 = 537.214


Mapping: [{{val| 1 6 -1 5 4 7 -2 7 }}, {{val| 0 -8 6 -4 -1 -6 11 -5 }}]
Mapping: [{{val| 1 6 -1 5 4 7 -2 7 }}, {{val| 0 -8 6 -4 -1 -6 11 -5 }}]


{{Val list|legend=1| 9, 29g, 38df, 67cdefgh }}
{{Val list|legend=1| 9, 20g, 29g, 38df, 67cddefgh }}


Badness: 0.0168
Badness: 0.0168
</div></div>


= Passive =
= Passive =
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