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Jubilismic family: Difference between revisions

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= Jubilismic =
= Jubilismic =


Period: 1\2
Subgroup: 2.3.5.7


Optimal ([[POTE]]) generators: ~3/2 = 702.9804, ~5/4 = 380.8399
[[Comma list]]: 50/49


EDO generators: [[4edo|(2, 1)\4]], [[10edo|(6, 3)\10]], [[12edo|(7, 4)\12]]
[[Mapping]]: [{{val| 2 0 0 1 }}, {{val| 0 1 0 0 }}, {{val| 0 0 1 1 }}]
 
Scales: [[jubilismic10]], [[jubilismic12]]


<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;">
Mapping generators: ~7/5, ~3, ~5
<div style="line-height:1.6;">Technical data</div>
<div class="mw-collapsible-content">


Subgroup: 2.3.5.7
[[POTE generator]]s: ~3/2 = 702.9804, ~5/4 = 380.8399
 
[[Comma list]]: 50/49


[[Minimax tuning]]:  
[[Minimax tuning]]:  
* 7- and 9-odd-limit
* 7- and [[9-odd-limit]]
: [{{monzo| 1 0 0 0 }}, {{monzo| 0 1 0 0 }}, {{monzo| -1/4 0 1/2 1/2 }}, {{monzo| 1/4 0 1/2 1/2 }}]
: [{{monzo| 1 0 0 0 }}, {{monzo| 0 1 0 0 }}, {{monzo| -1/4 0 1/2 1/2 }}, {{monzo| 1/4 0 1/2 1/2 }}]
: [[Eigenmonzo]]s: 2, 3/2, 35/32
: [[Eigenmonzo]]s: 2, 3/2, 35/32
[[Mapping]]: [{{val| 2 0 0 1 }}, {{val| 0 1 0 0 }}, {{val| 0 0 1 1 }}]
Mapping [[generator]]s: ~7/5, ~3, ~5


{{Val list|legend=1| 4, 8d, 10, 12, 22, 34d, 48 }}
{{Val list|legend=1| 4, 8d, 10, 12, 22, 34d, 48 }}


</div></div>
Scales: [[jubilismic10]], [[jubilismic12]]


= Jubilee =
= Jubilee =


Period: 1\2
Subgroup: 2.3.5.7.11
 
Optimal ([[POTE]]) generators: ~3/2 = 703.4155, ~5/4 = 380.6973
 
EDO generators: [[8edo|(5, 3)\8]], [[12edo|(7, 4)\12]], [[14edo|(8, 4)\14]]
 
Scales:


<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;">
[[Comma list]]: 50/49, 99/98
<div style="line-height:1.6;">Technical data</div>
<div class="mw-collapsible-content">


Subgroup: 2.3.5.7.11
[[Mapping]]: [{{val| 2 0 0 1 4 }}, {{val| 0 1 0 0 -2 }}, {{val| 0 0 1 1 2 }}]


Comma list: 50/49, 99/98
[[POTE generator]]s: ~3/2 = 703.4155, ~5/4 = 380.6973
 
Mapping: [{{val| 2 0 0 1 4 }}, {{val| 0 1 0 0 -2 }}, {{val| 0 0 1 1 2 }}]


{{Val list|legend=1| 4, 8d, 10e, 12, 22, 34d, 48 }}
{{Val list|legend=1| 4, 8d, 10e, 12, 22, 34d, 48 }}


Badness: 0.600 × 10<sup>-3</sup>
[[Badness]]: 0.600 × 10<sup>-3</sup>
 
</div></div>


= Festival =
= Festival =


Period: 1\2
Subgroup: 2.3.5.7.11
 
Optimal ([[POTE]]) generators: ~3/2 = 693.6257, ~5/4 = 371.2658


EDO generators: [[10edo|(6, 3)\10]], [[12edo|(7, 4)\12]], [[14edo|(8, 4)\14]]
[[Comma list]]: 45/44, 50/49
 
Scales:
 
<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, 50/49
[[Mapping]]: [{{val| 2 0 0 1 -4 }}, {{val| 0 1 0 0 2 }}, {{val| 0 0 1 1 1 }}]


Mapping: [{{val| 2 0 0 1 -4 }}, {{val| 0 1 0 0 2 }}, {{val| 0 0 1 1 1 }}]
[[POTE generator]]s: ~3/2 = 693.6257, ~5/4 = 371.2658


{{Val list|legend=1| 10, 12, 22e, 26 }}
{{Val list|legend=1| 10, 12, 22e, 26 }}


Badness: 0.689 × 10<sup>-3</sup>
[[Badness]]: 0.689 × 10<sup>-3</sup>
 
</div></div>


= Fiesta =
= Fiesta =


Period: 1\2
Subgroup: 2.3.5.7.11
 
Optimal ([[POTE]]) generators: ~3/2 = 713.5853, ~5/4 = 397.6952
 
EDO generators: [[8edo|(5, 3)\8]], [[10edo|(6, 3)\10]], [[12edo|(7, 4)\12]]
 
Scales:
 
<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]]: 50/49, 56/55


Comma list: 50/49, 56/55
[[Mapping]]: [{{val| 2 0 0 1 7 }}, {{val| 0 1 0 0 0 }}, {{val| 0 0 1 1 0 }}]


Mapping: [{{val| 2 0 0 1 7 }}, {{val| 0 1 0 0 0 }}, {{val| 0 0 1 1 0 }}]
[[POTE generator]]s: ~3/2 = 713.5853, ~5/4 = 397.6952


{{Val list|legend=1| 8d, 10, 12, 22e }}
{{Val list|legend=1| 8d, 10, 12, 22e }}


Badness: 0.717 × 10<sup>-3</sup>
[[Badness]]: 0.717 × 10<sup>-3</sup>
 
</div></div>


= Jamboree =
= Jamboree =


Period: 1\2
Subgroup: 2.3.5.7.11
 
Optimal ([[POTE]]) generators: ~3/2 = 706.6559, ~5/4 = 376.8308
 
EDO generators: [[8edo|(5, 3)\8]], [[10edo|(6, 3)\10]], [[14edo|(8, 4)\14]]


Scales:  
[[Comma list]]: 50/49, 55/54


<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;">
[[Mapping]]: [{{val| 2 0 0 1 2 }}, {{val| 0 1 0 0 3 }}, {{val| 0 0 1 1 -1 }}]
<div style="line-height:1.6;">Technical data</div>
<div class="mw-collapsible-content">


Subgroup: 2.3.5.7.11
[[POTE generator]]s: ~3/2 = 706.6559, ~5/4 = 376.8308
 
Comma list: 50/49, 55/54
 
Mapping: [{{val| 2 0 0 1 2 }}, {{val| 0 1 0 0 3 }}, {{val| 0 0 1 1 -1 }}]


{{Val list|legend=1| 8d, 10, 12e, 14c, 22 }}
{{Val list|legend=1| 8d, 10, 12e, 14c, 22 }}


Badness: 0.781 × 10<sup>-3</sup>
[[Badness]]: 0.781 × 10<sup>-3</sup>
 
</div></div>


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