Xenharmonic Wiki

Keemic temperaments: Difference between revisions

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m Cleanup; edo list reviewed
Databoxified (with data reviewed)
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= Quasitemp =
= Quasitemp =
== 5-limit ==
== 5-limit ==
Period: 1\1
Optimal ([[POTE]]) generator: ~3125/2592 = 292.702
EDO generator: [[37edo|9\37]], [[41edo|10\41]], [[45edo|11\45]]
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: 6103515625/5804752896
Comma list: 6103515625/5804752896
POTE generator: ~3125/2592 = 292.702


Mapping: [{{val| 1 5 5 }}, {{val| 0 -14 -11 }}]
Mapping: [{{val| 1 5 5 }}, {{val| 0 -14 -11 }}]
Line 13: Line 26:


Badness: 0.7678
Badness: 0.7678
</div></div>


== 7-limit ==
== 7-limit ==
Period: 1\1
Optimal ([[POTE]]) generator: ~25/21 = 292.710
EDO generator: [[37edo|9\37]], [[41edo|10\41]], [[45edo|11\45]]
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: 875/864, 2401/2400
Comma list: 875/864, 2401/2400
POTE generator ~25/21 = 292.710


Mapping: [{{val| 1 5 5 5 }}, {{val| 0 -14 -11 -9 }}]
Mapping: [{{val| 1 5 5 5 }}, {{val| 0 -14 -11 -9 }}]
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Badness: 0.0603
Badness: 0.0603
</div></div>


== 11-limit ==
== 11-limit ==
Period: 1\1
Optimal ([[POTE]]) generator: ~25/21 = 292.547
EDO generator: [[37edo|9\37]], [[41edo|10\41]], [[78edo|19\78]]
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: 100/99, 385/384, 1375/1372
Comma list: 100/99, 385/384, 1375/1372
POTE generator: ~25/21 = 292.547


Mapping: [{{val| 1 5 5 5 2 }}, {{val| 0 -14 -11 -9 6 }}]
Mapping: [{{val| 1 5 5 5 2 }}, {{val| 0 -14 -11 -9 6 }}]
Line 37: Line 80:


Badness: 0.0432
Badness: 0.0432
</div></div>


=== 13-limit ===
=== 13-limit ===
Period: 1\1
Optimal ([[POTE]]) generator: ~25/21 = 292.457
EDO generator: [[37edo|9\37]], [[41edo|10\41]], [[78edo|19\78]]
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: 100/99, 196/195, 275/273, 385/384
Comma list: 100/99, 196/195, 275/273, 385/384


Line 48: Line 108:


Badness: 0.0329
Badness: 0.0329
</div></div>


== Quato ==
== Quato ==
Period: 1\1
Optimal ([[POTE]]) generator: ~25/21 = 292.851
EDO generator: [[41edo|10\41]], [[45edo|11\45]], [[86edo|21\86]]
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: 243/242, 441/440, 625/616
Comma list: 243/242, 441/440, 625/616
POTE generator: ~25/21 = 292.851


Mapping: [{{val| 1 5 5 5 12 }}, {{val| 0 -14 -11 -9 -35 }}]
Mapping: [{{val| 1 5 5 5 12 }}, {{val| 0 -14 -11 -9 -35 }}]
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Badness: 0.0412
Badness: 0.0412
</div></div>


=== 13-limit ===
=== 13-limit ===
Period: 1\1
Optimal ([[POTE]]) generator: ~13/11 = 292.928
EDO generator: [[41edo|10\41]], [[45edo|11\45]], [[86edo|21\86]]
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: 105/104, 243/242, 275/273, 325/324
Comma list: 105/104, 243/242, 275/273, 325/324
POTE generator: ~13/11 = 292.928


Mapping: [{{val| 1 5 5 5 12 12 }}, {{val| 0 -14 -11 -9 -35 -34 }}]
Mapping: [{{val| 1 5 5 5 12 12 }}, {{val| 0 -14 -11 -9 -35 -34 }}]
Line 70: Line 160:


Badness: 0.0301
Badness: 0.0301
</div></div>


= Barbad =
= Barbad =
Period: 1\1
Optimal ([[POTE]]) generator: ~98/75 = 468.331
EDO generator: [[18edo|7\18]], [[23edo|9\23]], [[41edo|16\41]]
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: 875/864, 16875/16807
Comma list: 875/864, 16875/16807
POTE generator: ~75/49 = 468.331


Mapping: [{{val| 1 9 7 11 }}, {{val| 0 -19 -12 -21 }}]
Mapping: [{{val| 1 9 7 11 }}, {{val| 0 -19 -12 -21 }}]
Line 83: Line 188:


Badness: 0.1104
Badness: 0.1104
</div></div>


== 11-limit ==
== 11-limit ==
Period: 1\1
Optimal ([[POTE]]) generator: ~98/75 = 468.367
EDO generator: [[18edo|7\18]], [[23edo|9\23]], [[41edo|16\41]]
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: 245/242, 540/539, 625/616
Comma list: 245/242, 540/539, 625/616
POTE generator: ~98/75 = 468.367


Mapping: [{{val| 1 9 7 11 14 }}, {{val| 0 -19 -12 -21 -27 }}]
Mapping: [{{val| 1 9 7 11 14 }}, {{val| 0 -19 -12 -21 -27 }}]
Line 94: Line 214:


Badness: 0.0501
Badness: 0.0501
</div></div>


== 13-limit ==
== 13-limit ==
Period: 1\1
Optimal ([[POTE]]) generator: ~13/10 = 468.270
EDO generator: [[18edo|7\18]], [[23edo|9\23]], [[41edo|16\41]]
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: 144/143, 196/195, 245/242, 275/273
Comma list: 144/143, 196/195, 245/242, 275/273
POTE generator: ~13/10 = 468.270


Mapping: [{{val| 1 9 7 11 14 8 }}, {{val| 0 -19 -12 -21 -27 -11 }}]
Mapping: [{{val| 1 9 7 11 14 8 }}, {{val| 0 -19 -12 -21 -27 -11 }}]
Line 105: Line 240:


Badness: 0.0392
Badness: 0.0392
</div></div>


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