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Gamelismic clan: Difference between revisions

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== 5-limit ==
== 5-limit ==
Period: 1\2
Optimal ([[POTE]]) generator: ~10/9 = 183.047
EDO generator: [[26edo|4\26]], [[46edo|7\46]], [[72edo|11\72]], [[118edo|18\118]]
Scales (Scala files): [[unidec26]]
<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: 31381059609/31250000000
Comma list: 31381059609/31250000000


POTE generator: ~10/9 = 183.047
Mapping: [{{val| 2 5 8 }}, {{val| 0 -6 -11 }}]


Mapping: [{{val| 2 5 8 }}, {{val| 0 -6 -11 }}]
Mapping generators: ~177147/125000, ~10/9


{{Val list|legend=1| 26, 46, 72, 118, 2524, 2642, 2760, 5002bc }}
{{Val list|legend=1| 26, 46, 72, 118, 2524, 2642, 2760, 2878b, …, 5002bc }}


Badness: 0.0824
Badness: 0.0824
</div></div>


== 7-limit ==
== 7-limit ==
Period: 1\2
Optimal ([[POTE]]) generator: ~10/9 = 183.161
EDO generator: [[26edo|4\26]], [[46edo|7\46]], [[72edo|11\72]], [[118edo|18\118]]
Scales (Scala files): [[unidec26]]
<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]]: 1029/1024, 4375/4374
[[Comma list]]: 1029/1024, 4375/4374


[[POTE generator]]: ~10/9 = 183.161
[[Mapping]]: [{{val| 2 5 8 5 }}, {{val| 0 -6 -11 2 }}]


[[Mapping]]: [{{val| 2 5 8 5 }}, {{val| 0 -6 -11 2 }}]
Mapping generators: ~1225/864, ~10/9


[[Wedgie]]: {{wedgie| 12 22 -4 7 -40 -71 }}
[[Wedgie]]: {{wedgie| 12 22 -4 7 -40 -71 }}
Line 891: Line 923:


[[Badness]]: 0.0384
[[Badness]]: 0.0384
</div></div>


== 11-limit ==
== 11-limit ==
Period: 1\2
Optimal ([[POTE]]) generator: ~10/9 = 183.165
EDO generator: [[26edo|4\26]], [[46edo|7\46]], [[72edo|11\72]], [[118edo|18\118]]
Scales (Scala files): [[unidec26]]
<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: 385/384, 441/440, 4375/4374
Comma list: 385/384, 441/440, 4375/4374


[[POTE generator]]: ~10/9 = 183.165
Mapping: [{{val| 2 5 8 5 6 }}, {{val| 0 -6 -11 2 3 }}]


Mapping: [{{val| 2 5 8 5 6 }}, {{val| 0 -6 -11 2 3 }}]
Mapping generators: ~99/70, ~10/9


Minimax tuning:
Minimax tuning:
Line 908: Line 957:
Badness: 0.0155
Badness: 0.0155


{{see also| Chords of unidec }}
</div></div>


=== Ekadash ===
=== Ekadash ===
Period: 1\2
Optimal ([[POTE]]) generator: ~10/9 = 183.187
EDO generator: [[72edo|11\72]], [[118edo|18\118]], [[190edo|29\190]]
Scales (Scala files): [[unidec26]]
<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: 385/384, 441/440, 625/624, 729/728
Comma list: 385/384, 441/440, 625/624, 729/728


[[POTE generator]]: ~10/9 = 183.187
Mapping: [{{val| 2 5 8 5 6 19 }}, {{val| 0 -6 -11 2 3 -38 }}]


Mapping: [{{val| 2 5 8 5 6 19 }}, {{val| 0 -6 -11 2 3 -38 }}]
Mapping generators: ~99/70, ~10/9


{{Val list|legend=1| 20cf, 26f, 46f, 72, 118, 190, 262df, 452cdef }}
{{Val list|legend=1| 26f, 46f, 72, 118, 190, 262df, 452cdef }}


Badness: 0.0204
Badness: 0.0204
</div></div>


=== Hendec ===
=== Hendec ===
Period: 1\2
Optimal ([[POTE]]) generator: ~10/9 = 183.198
EDO generator: [[26edo|4\26]], [[46edo|7\46]], [[72edo|11\72]], [[118edo|18\118]]
Scales (Scala files): [[unidec26]]
<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: 169/168, 325/324, 364/363, 1716/1715
Comma list: 169/168, 325/324, 364/363, 1716/1715


[[POTE generator]]: ~10/9 = 183.187
Mapping: [{{val| 2 5 8 5 6 8 }}, {{val| 0 -6 -11 2 3 -2 }}]


Mapping: [{{val| 2 5 8 5 6 8 }}, {{val| 0 -6 -11 2 3 -2 }}]
Mapping generators: ~91/64, ~10/9


{{Val list|legend=1| 26, 46, 72 }}
{{Val list|legend=1| 26, 46, 72, 190ff }}


Badness: 0.0177
Badness: 0.0177
</div></div>


==== 17-limit ====
==== 17-limit ====
Period: 1\2
Optimal ([[POTE]]) generator: ~10/9 = 183.196
EDO generator: [[26edo|4\26]], [[46edo|7\46]], [[72edo|11\72]], [[118edo|18\118]]
Scales (Scala files): [[unidec26]]
<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: 2.3.5.7.11.13.17
Comma list: 169/168, 221/220, 273/272, 325/324, 364/363
Comma list: 169/168, 221/220, 273/272, 325/324, 364/363


[[POTE generator]]: ~10/9 = 183.196
Mapping: [{{val| 2 5 8 5 6 8 10 }}, {{val| 0 -6 -11 2 3 -2 -6 }}]


Mapping: [{{val| 2 5 8 5 6 8 10 }}, {{val| 0 -6 -11 2 3 -2 -6 }}]
Mapping generators: ~17/12, ~10/9
 
{{Val list|legend=1| 26, 46, 72, 190ffg }}


{{Val list|legend=1| 26, 46, 72 }}
</div></div>


= Hemithirds =
= Hemithirds =
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