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Archytas clan: Difference between revisions

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= Fervor =
= Fervor =
== 5-limit ==
== 5-limit ==
Period: 1\1
Optimal ([[POTE]]) generator: ~64/45 = 577.705
EDO generators: [[25edo|12\25]], [[27edo|13\27]]
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: 67108864/61509375
Comma list: 67108864/61509375
POTE generator: ~64/45 = 577.705


Mapping: [{{val| 1 4 -2 }}, {{val| 0 -5 9 }}]
Mapping: [{{val| 1 4 -2 }}, {{val| 0 -5 9 }}]
Line 768: Line 779:


Badness: 0.8526
Badness: 0.8526
</div></div>


== 7-limit ==
== 7-limit ==
Period: 1\1
Optimal ([[POTE]]) generator: ~7/5 = 577.777
EDO generators: [[25edo|12\25]], [[27edo|13\27]]
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: 64/63, 9604/9375
Comma list: 64/63, 9604/9375
POTE generator: ~7/5 = 577.777


Mapping: [{{val| 1 4 -2 -2 }}, {{val| 0 -5 9 10 }}]
Mapping: [{{val| 1 4 -2 -2 }}, {{val| 0 -5 9 10 }}]
Line 781: Line 805:


Badness: 0.1085
Badness: 0.1085
</div></div>


== 11-limit ==
== 11-limit ==
Period: 1\1
Optimal ([[POTE]]) generator: ~7/5 = 577.850
EDO generators: [[25edo|12\25]], [[27edo|13\27]]
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: 56/55, 64/63, 1350/1331
Comma list: 56/55, 64/63, 1350/1331
POTE generator: ~7/5 = 577.850


Mapping: [{{val| 1 4 -2 -2 3 }}, {{val| 0 -5 9 10 1 }}]
Mapping: [{{val| 1 4 -2 -2 3 }}, {{val| 0 -5 9 10 1 }}]
Line 792: Line 829:


Badness: 0.0521
Badness: 0.0521
</div></div>


== 13-limit ==
== 13-limit ==
Period: 1\1
Optimal ([[POTE]]) generator: ~7/5 = 578.060
EDO generators: [[25edo|12\25]], [[27edo|13\27]]
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: 56/55, 64/63, 78/77, 507/500
Comma list: 56/55, 64/63, 78/77, 507/500
POTE generator: ~7/5 = 578.060


Mapping: [{{val| 1 4 -2 -2 3 -4 }}, {{val| 0 -5 9 10 1 16 }}]
Mapping: [{{val| 1 4 -2 -2 3 -4 }}, {{val| 0 -5 9 10 1 16 }}]
Line 803: Line 853:


Badness: 0.0397
Badness: 0.0397
</div></div>


= Progress =
= Progress =
== 5-limit ==
== 5-limit ==
Period: 1\1
Optimal ([[POTE]]) generator: ~64/45 = 561.264
EDO generators: [[15edo|7\15]], [[17edo|8\17]]
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: 32768/30375
Comma list: 32768/30375
POTE generator: ~64/45 = 561.264


Mapping: [{{val| 1 0 5 }}, {{val| 0 3 -5 }}]
Mapping: [{{val| 1 0 5 }}, {{val| 0 3 -5 }}]


{{Val list|legend=1| 4, 13, 15, 32c, 47bc, 62bc }}
{{Val list|legend=1| 15, 32c, 47bc, 62bc }}


Badness: 0.2461
Badness: 0.2461
</div></div>


== 7-limit ==
== 7-limit ==
Period: 1\1
Optimal ([[POTE]]) generator: ~7/5 = 562.122
EDO generators: [[15edo|7\15]], [[17edo|8\17]]
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: 64/63, 392/375
Comma list: 64/63, 392/375
POTE generator: ~7/5 = 562.122


Mapping: [{{val| 1 0 5 6 }}, {{val| 0 3 -5 -6 }}]
Mapping: [{{val| 1 0 5 6 }}, {{val| 0 3 -5 -6 }}]
Line 825: Line 901:
Wedgie: {{wedgie| 3 -5 -6 -15 -18 0 }}
Wedgie: {{wedgie| 3 -5 -6 -15 -18 0 }}


{{Val list|legend=1| 13, 15, 32c, 79bcc, 111bcc }}
{{Val list|legend=1| 15, 32c, 79bcc, 111bcc }}


Badness: 0.0664
Badness: 0.0664
</div></div>


== 11-limit ==
== 11-limit ==
Period: 1\1
Optimal ([[POTE]]) generator: ~7/5 = 562.085
EDO generators: [[15edo|7\15]], [[17edo|8\17]]
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: 56/55, 64/63, 77/75
Comma list: 56/55, 64/63, 77/75
POTE generator: ~7/5 = 562.085


Mapping: [{{val| 1 0 5 6 4 }}, {{val| 0 3 -5 -6 -1 }}]
Mapping: [{{val| 1 0 5 6 4 }}, {{val| 0 3 -5 -6 -1 }}]


{{Val list|legend=1| 13, 15, 32c, 47bc, 79bcce }}
{{Val list|legend=1| 15, 32c, 47bc, 79bcce }}


Badness: 0.0310
Badness: 0.0310
</div></div>


=== 13-limit ===
=== 13-limit ===
Period: 1\1
Optimal ([[POTE]]) generator: ~7/5 = 562.365
EDO generators: [[15edo|7\15]], [[17edo|8\17]]
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: 56/55, 64/63, 66/65, 77/75
Comma list: 56/55, 64/63, 66/65, 77/75
POTE generator: ~7/5 = 562.365


Mapping: [{{val| 1 0 5 6 4 0 }}, {{val| 0 3 -5 -6 -1 7 }}]
Mapping: [{{val| 1 0 5 6 4 0 }}, {{val| 0 3 -5 -6 -1 7 }}]
Line 850: Line 952:


Badness: 0.0262
Badness: 0.0262
</div></div>


=== Progressive ===
=== Progressive ===
Period: 1\1
Optimal ([[POTE]]) generator: ~7/5 = 563.239
EDO generators: [[15edo|7\15]], [[17edo|8\17]]
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: 26/25, 56/55, 64/63, 77/75
Comma list: 26/25, 56/55, 64/63, 77/75
POTE generator: ~7/5 = 563.239


Mapping: [{{val| 1 0 5 6 4 9 }}, {{val| 0 3 -5 -6 -1 -10 }}]
Mapping: [{{val| 1 0 5 6 4 9 }}, {{val| 0 3 -5 -6 -1 -10 }}]
Line 861: Line 976:


Badness: 0.0327
Badness: 0.0327
</div></div>


= Sixix =
= Sixix =
== 5-limit ==
== 5-limit ==
Period: 1\1
Optimal ([[POTE]]) generator: ~6/5 = 338.365
EDO generators: [[25edo|7\25]], [[32edo|9\32]]
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: 3125/2916
Comma list: 3125/2916
POTE generator: ~6/5 = 338.365


Mapping: [{{val| 1 3 4 }}, {{val| 0 -5 -6 }}]
Mapping: [{{val| 1 3 4 }}, {{val| 0 -5 -6 }}]
Line 873: Line 1,001:


Badness: 0.1531
Badness: 0.1531
</div></div>


== 7-limit ==
== 7-limit ==
Comma list: 3125/2916, 64/63


POTE generator: ~6/5 = 337.4419
Period: 1\1
 
Optimal ([[POTE]]) generator: ~6/5 = 337.4419
 
EDO generators: [[25edo|7\25]], [[32edo|9\32]]
 
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: 64/63, 3125/2916


Mapping: [{{val| 1 3 4 0 }}, {{val| 0 -5 -6 10 }}]
Mapping: [{{val| 1 3 4 0 }}, {{val| 0 -5 -6 10 }}]


{{Val list|legend=1| 7, 25, 32 }}
{{Val list|legend=1| 7, 25, 32 }}
</div></div>


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