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Reversed meantone: Difference between revisions

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<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;">
<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;">
<div style="line-height:1.6;">'''Reversed meantone (b11&amp;b19, 3.2.5 subgroup)'''</div>
<div style="line-height:1.6;">'''Reversed meantone (b11&amp;b19, 3.2.5 subgroup)'''
<div class="mw-collapsible-content">
Subgroup: 3.2.5
Subgroup: 3.2.5


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<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;"><div style="line-height:1.6;">'''Reversed meantone (b11&amp;b19, 3.2.5.7 subgroup)'''</div>
<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;"><div style="line-height:1.6;">'''Reversed meantone (b11&amp;b19, 3.2.5.7 subgroup)'''
<div class="mw-collapsible-content">
Subgroup: 3.2.5.7
Subgroup: 3.2.5.7


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<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;">
<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;">
<div style="line-height:1.6;">'''Reversed meantone (b11de&amp;b19e, 3.2.5.7.11 subgroup)'''</div>
<div style="line-height:1.6;">'''Reversed meantone (b11de&amp;b19e, 3.2.5.7.11 subgroup)'''
<div class="mw-collapsible-content">
Subgroup: 3.2.5.7.11
Subgroup: 3.2.5.7.11


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<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;">
<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;">
<div style="line-height:1.6;">'''Reversed meantone (c16&amp;c28, 5.2.3 subgroup)'''</div>
<div style="line-height:1.6;">'''Reversed meantone (c16&amp;c28, 5.2.3 subgroup)'''
<div class="mw-collapsible-content">
Subgroup: 5.2.3 (3/2.5)
Subgroup: 5.2.3 (3/2.5)


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[[POTE generator]]: ~3/2 = 696.5784, ~10/9 = 192.5712
[[POTE generator]]: ~3/2 = 696.5784, ~10/9 = 192.5712


[[TOP tuning|TOP generator]]s: ~3/2 = 697.0491, ~10/9 = [[Tel:192.7014|192.7014]]
[[TOP tuning|TOP generator]]s: ~3/2 = 697.0491, ~10/9 = 192.7014


[[Optimal GPV sequence]]: {{Val list| c16, c28, c44 }}
[[Optimal GPV sequence]]: {{Val list| c16, c28, c44 }}
</div></div>
</div></div>


<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;"><div style="line-height:1.6;">'''Reversed meantone (c12d&amp;c16dee, 5.2.3.7 subgroup)'''</div>
<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;"><div style="line-height:1.6;">'''Reversed meantone (c12d&amp;c16dee, 5.2.3.7 subgroup)'''Subgroup: 5.2.3.7
<div class="mw-collapsible-content">
Subgroup: 5.2.3.7
 
[[Comma list]]: 64/63, 81/80
[[Comma list]]: 64/63, 81/80


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[[TOP tuning|TOP generator]]s: ~3/2 = 697.2159, ~10/9 = 202.3697
[[TOP tuning|TOP generator]]s: ~3/2 = 697.2159, ~10/9 = 202.3697


[[Optimal GPV sequence]]: {{Val list| c12d, c16dee, c28, c40, c52d, c64 }})
[[Optimal GPV sequence]]: {{Val list| c12d, c16dee, c28, c40, c52d, c64 }}
</div></div>
</div></div>


<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;">
<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;">
<div style="line-height:1.6;">'''Reversed meantone (c12de&amp;c16dee, 5.2.3.7.11 subgroup)'''</div>
<div style="line-height:1.6;">'''Reversed meantone (c12de&amp;c16dee, 5.2.3.7.11 subgroup)'''
<div class="mw-collapsible-content">
Subgroup: 5.2.3.7.11
Subgroup: 5.2.3.7.11  


[[Comma list]]: 64/63, 81/80, 99/98  
[[Comma list]]: 64/63, 81/80, 99/98  
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</div></div>  
</div></div>  
<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;">
<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;">
<div style="line-height:1.6;">'''Reversed meantone (q4&amp;q7, 3/2.2.3.5 subgroup)'''</div>
<div style="line-height:1.6;">'''Reversed meantone (q4&amp;q7, 3/2.2.3.5 subgroup)'''
<div class="mw-collapsible-content">
Subgroup: 3/2.2.3.5
Subgroup: 3/2.2.3.5


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<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;"><div style="line-height:1.6;">'''Reversed meantone (q3&amp;q7, 3/2.2.3.5.7 subgroup)'''</div>
<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;"><div style="line-height:1.6;">'''Reversed meantone (q3&amp;q7, 3/2.2.3.5.7 subgroup)'''
<div class="mw-collapsible-content">
Subgroup: 3/2.2.3.5.7
Subgroup: 3/2.2.3.5.7


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<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;">
<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;">
<div style="line-height:1.6;">'''Reversed meantone (q7e&amp;q11, 3/2.2.3.5.7.11 subgroup)'''</div>
<div style="line-height:1.6;">'''Reversed meantone (q7e&amp;q11, 3/2.2.3.5.7.11 subgroup)'''
<div class="mw-collapsible-content">
Subgroup: 3/2.2.3.5.7.11
Subgroup: 3/2.2.3.5.7.11


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[[Optimal GPV sequence]]: {{Val list| q7e, q11, q18, q25 }}
[[Optimal GPV sequence]]: {{Val list| q7e, q11, q18, q25 }}
</div></div>
</div></div>


<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;">
<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;">
<div style="line-height:1.6;">'''Reversed meantone (q16&amp;q25, 5/2.2.3.5 subgroup)'''</div>
<div style="line-height:1.6;">'''Reversed meantone (q16&amp;q25, 5/2.2.3.5 subgroup)'''
<div class="mw-collapsible-content">
Subgroup: 5/2.2.3.5
Subgroup: 5/2.2.3.5


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[[Optimal GPV sequence]]: {{Val list| q16, q25, q41 }}
[[Optimal GPV sequence]]: {{Val list| q16, q25, q41 }}
</div></div>  
</div></div>  
<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;"><div style="line-height:1.6;">'''Reversed meantone (q16&amp;q25, 5/2.2.3.5.7 subgroup)'''</div>
<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;"><div style="line-height:1.6;">'''Reversed meantone (q16&amp;q25, 5/2.2.3.5.7 subgroup)'''
<div class="mw-collapsible-content">
Subgroup: 5/2.2.3.5.7
Subgroup: 5/2.2.3.5.7


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<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;">
<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;">
<div style="line-height:1.6;">'''Reversed meantone (q16&amp;q41, 5/2.2.3.5.7.11 subgroup)'''</div>
<div style="line-height:1.6;">'''Reversed meantone (q16&amp;q41, 5/2.2.3.5.7.11 subgroup)'''
<div class="mw-collapsible-content">
Subgroup: 5/2.2.3.5.7.11
Subgroup: 5/2.2.3.5.7.11


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<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;">
<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;">
<div style="line-height:1.6;">'''Reversed meantone (q9&amp;q14, 5/3.2.3.5 subgroup)'''</div>
<div style="line-height:1.6;">'''Reversed meantone (q9&amp;q14, 5/3.2.3.5 subgroup)'''
<div class="mw-collapsible-content">
Subgroup: 5/3.2.3.5
Subgroup: 5/3.2.3.5


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[[Optimal GPV sequence]]: {{Val list| q9, q14, q23 }}
[[Optimal GPV sequence]]: {{Val list| q9, q14, q23 }}
</div></div>  
</div></div>  
<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;"><div style="line-height:1.6;">'''Reversed meantone (q9&amp;q14d, 5/3.2.3.5.7 subgroup)'''</div>
<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;"><div style="line-height:1.6;">'''Reversed meantone (q9&amp;q14d, 5/3.2.3.5.7 subgroup)'''
<div class="mw-collapsible-content">
Subgroup: 5/3.2.3.5.7
Subgroup: 5/3.2.3.5.7


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<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;">
<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;">
<div style="line-height:1.6;">'''Reversed meantone (q9&amp;q14, 5/3.2.3.5.7.11 subgroup)'''</div>
<div style="line-height:1.6;">'''Reversed meantone (q9&amp;q14, 5/3.2.3.5.7.11 subgroup)'''
<div class="mw-collapsible-content">
Subgroup: 5/3.2.3.5.7.11
Subgroup: 5/3.2.3.5.7.11


[[Comma list]]: 81/80, 126/125, 100/99
[[Comma list]]: 81/80, 126/125, 100/99


[[Gencom]]: [5/3 ; 81/80 126/125 100/99]
[[Gencom]]: [5/3 10/9; 81/80 126/125 100/99]


[[Mapping|Sval mapping]]: [{{val| 1 2 3 4 4 6}}, {{val| 0 -3 -4 -4 -1 -6}}]
[[Mapping|Sval mapping]]: [{{val| 1 2 3 4 4 6}}, {{val| 0 -3 -4 -4 -1 -6}}]
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