Jubilismic clan: Difference between revisions

Place high-period temperaments down; fix a formatting glitch
Databoxes for diminished to lemba
Line 10: Line 10:
<span style="display: block; text-align: right;">[[:de:Verminderte_Temperaturen|Deutsch]]</span>
<span style="display: block; text-align: right;">[[:de:Verminderte_Temperaturen|Deutsch]]</span>
{{see also|Dimipent family}}
{{see also|Dimipent family}}
Period: 1\4
Optimal ([[POTE]]) generator: ~3/2 = 699.523
EDO generators: [[8edo|5\8]], [[12edo|7\12]], [[16edo|9\16]]
Scales (Scala files): [[diminished12]]
<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: 36/35, 50/49
Comma list: 36/35, 50/49


[[POTE generator]]: ~3/2 = 699.523
Mapping: [{{val| 4 0 3 5 }}, {{val| 0 1 1 1 }}]


Mapping: [{{val| 4 0 3 5 }}, {{val| 0 1 1 1 }}]
Mapping generators: ~6/5, ~3


{{Val list|legend=1| 4, 12 }}
{{Val list|legend=1| 4, 8d, 12 }}


Badness: 0.0224
Badness: 0.0224
</div></div>


== 11-limit ==
== 11-limit ==
Period: 1\4
Optimal ([[POTE]]) generator: ~3/2 = 709.109
EDO generators: [[12edo|7\12]], [[20edo|12\20]]
Scales (Scala files): [[diminished12]]
<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: 36/35, 50/49, 56/55
Comma list: 36/35, 50/49, 56/55


[[POTE generator]]: ~3/2 = 709.109
Mapping: [{{val| 4 0 3 5 14 }}, {{val| 0 1 1 1 0 }}]


Mapping: [{{val| 4 0 3 5 14 }}, {{val| 0 1 1 1 0 }}]
Mapping generators: ~6/5, ~3


{{Val list|legend=1| 4, 8, 12, 44 }}
{{Val list|legend=1| 4, 8d, 12, 32cddee, 44cddeee }}


Badness: 0.0221
Badness: 0.0221
</div></div>


=== 13-limit ===
=== 13-limit ===
Period: 1\4
Optimal ([[POTE]]) generator: ~3/2 = 713.773
EDO generators: [[12edo|7\12]], [[20edo|12\20]]
Scales (Scala files): [[diminished12]]
<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: 36/35, 40/39, 50/49, 66/65
Comma list: 36/35, 40/39, 50/49, 66/65


POTE generator: ~3/2 = 713.773
Mapping: [{{val| 4 0 3 5 14 15 }}, {{val| 0 1 1 1 0 0 }}]


Mapping: [{{val| 4 0 3 5 14 15 }}, {{val| 0 1 1 1 0 0 }}]
Mapping generators: ~6/5, ~3


{{Val list|legend=1| 4, 8d, 12f, 20cdef }}
{{Val list|legend=1| 4, 8d, 12f, 20cdef }}


Badness: 0.0195
Badness: 0.0195
</div></div>


== Demolished ==
== Demolished ==
Period: 1\4
Optimal ([[POTE]]) generator: ~3/2 = 689.881
EDO generators: [[12edo|7\12]], [[16edo|9\16]], [[28edo|14\28]]
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: 36/35, 45/44, 50/49
Comma list: 36/35, 45/44, 50/49


POTE generator: ~3/2 = 689.881
Mapping: [{{val| 4 0 3 5 -5 }}, {{val| 0 1 1 1 3 }}]


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


{{Val list|legend=1| 12, 28, 40de }}
{{Val list|legend=1| 12, 28, 40de }}


Badness: 0.0266
Badness: 0.0266
</div></div>


== Hemidim ==
== Hemidim ==
Period: 1\4
Optimal ([[POTE]]) generator: ~12/11 = 101.679
EDO generators: [[12edo|7\12]]
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: 36/35, 50/49, 125/121
Comma list: 36/35, 50/49, 125/121


POTE generator: ~12/11 = 101.679
Mapping: [{{val| 4 1 4 6 6 }}, {{val| 0 2 2 2 3 }}]


Mapping: [{{val| 4 1 4 6 6 }}, {{val| 0 2 2 2 3 }}]
Mapping generators: ~6/5, ~11/7


{{Val list|legend=1| 12, 20b }}
{{Val list|legend=1| 12 }}


Badness: 0.0550
Badness: 0.0550
</div></div>


= Doublewide =
= Doublewide =
Period: 1\2
Optimal ([[POTE]]) generator: ~6/5 = 325.719
EDO generators: [[22edo|6\22]], [[26edo|7\26]], [[48edo|13\48]]
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: 50/49, 875/864
Comma list: 50/49, 875/864
[[POTE generator]]: ~6/5 = 325.719


Mapping: [{{val| 2 1 3 4 }}, {{val| 0 4 3 3 }}]
Mapping: [{{val| 2 1 3 4 }}, {{val| 0 4 3 3 }}]


{{Val list|legend=1| 18, 22, 26, 48, 70c }}
{{Val list|legend=1| 4, 14bd, 18, 22, 48, 70c }}


Badness: 0.0435
Badness: 0.0435
</div></div>


== 11-limit ==
== 11-limit ==
Period: 1\2
Optimal ([[POTE]]) generator: ~6/5 = 325.548
EDO generators: [[22edo|6\22]], [[26edo|7\26]], [[48edo|13\48]]
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: 50/49, 99/98, 875/864
Comma list: 50/49, 99/98, 875/864
[[POTE generator]]: ~6/5 = 325.548


Mapping: [{{val| 2 1 3 4 8 }}, {{val| 0 4 3 3 -2 }}]
Mapping: [{{val| 2 1 3 4 8 }}, {{val| 0 4 3 3 -2 }}]


{{Val list|legend=1| 18, 22, 48, 70, 118cd }}
{{Val list|legend=1| 4, 14bd, 18, 22, 48, 70c, 118cd }}


Badness: 0.0321
Badness: 0.0321
</div></div>


== Fleetwood ==
== Fleetwood ==
Period: 1\2
Optimal ([[POTE]]) generator: ~6/5 = 327.038
EDO generators: [[22edo|6\22]], [[26edo|7\26]]
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: 50/49, 55/54, 176/175
Comma list: 50/49, 55/54, 176/175
POTE generator: ~6/5 = 327.038


Mapping: [{{val| 2 1 3 4 2 }}, {{val| 0 4 3 3 9 }}]
Mapping: [{{val| 2 1 3 4 2 }}, {{val| 0 4 3 3 9 }}]


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


Badness: 0.0352
Badness: 0.0352
</div></div>


=== 13-limit ===
=== 13-limit ===
Period: 1\2
Optimal ([[POTE]]) generator: ~6/5 = 327.841
EDO generators: [[18edo|5\18]], [[22edo|6\22]]
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: 50/49, 55/54, 65/63, 176/175
Comma list: 50/49, 55/54, 65/63, 176/175
POTE generator: ~6/5 = 327.841


Mapping: [{{val| 2 1 3 4 2 3 }}, {{val| 0 4 3 3 9 8 }}]
Mapping: [{{val| 2 1 3 4 2 3 }}, {{val| 0 4 3 3 9 8 }}]


{{Val list|legend=1| 22, 84bdf }}
{{Val list|legend=1| 18e, 22, 84bddf }}


Badness: 0.0318
Badness: 0.0318
</div></div>


== Cavalier ==
== Cavalier ==
Period: 1\2
Optimal ([[POTE]]) generator: ~6/5 = 323.427
EDO generators: [[22edo|6\22]], [[26edo|7\26]]
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: 45/44, 50/49, 875/864
Comma list: 45/44, 50/49, 875/864
POTE generator: ~6/5 = 323.427


Mapping: [{{val| 2 1 3 4 1 }}, {{val| 0 4 3 3 11 }}]
Mapping: [{{val| 2 1 3 4 1 }}, {{val| 0 4 3 3 11 }}]


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


Badness: 0.0529
Badness: 0.0529
</div></div>


=== 13-limit ===
=== 13-limit ===
Period: 1\2
Optimal ([[POTE]]) generator: ~6/5 = 323.396
EDO generators: [[22edo|6\22]], [[26edo|7\26]]
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: 45/44, 50/49, 78/77, 325/324
Comma list: 45/44, 50/49, 78/77, 325/324
POTE generator: ~6/5 = 323.396


Mapping: [{{val| 2 1 3 4 1 2 }}, {{val| 0 4 3 3 11 10 }}]
Mapping: [{{val| 2 1 3 4 1 2 }}, {{val| 0 4 3 3 11 10 }}]


{{Val list|legend=1| 26 }}
{{Val list|legend=1| 22ef, 26 }}


Badness: 0.0350
Badness: 0.0350
</div></div>


= Lemba =
= Lemba =
{{see also|Gamelismic clan #Lemba}}
{{see also|Gamelismic clan #Lemba}}
{{see also|Lemba}}
{{see also|Lemba}}
Period: 1\2
Optimal ([[POTE]]) generator: ~8/7 = 232.089
EDO generator: [[10edo|2\10]], [[16edo|3\16]], [[26edo|5\26]]
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: 50/49, 525/512
Comma list: 50/49, 525/512
[[POTE generator]]: ~8/7 = 232.089


Mapping: [{{val| 2 2 5 6 }}, {{val| 0 3 -1 -1 }}]
Mapping: [{{val| 2 2 5 6 }}, {{val| 0 3 -1 -1 }}]
Line 144: Line 330:


Badness: 0.0622
Badness: 0.0622
</div></div>


== 11-limit ==
== 11-limit ==
Period: 1\2
Optimal ([[POTE]]) generator: ~8/7 = 230.974
EDO generators: [[10edo|2\10]], [[16edo|3\16]], [[26edo|5\26]]
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: 45/44, 50/49, 385/384
Comma list: 45/44, 50/49, 385/384
POTE generator: ~8/7 = 230.974


Mapping: [{{val| 2 2 5 6 5 }}, {{val| 0 3 -1 -1 5 }}]
Mapping: [{{val| 2 2 5 6 5 }}, {{val| 0 3 -1 -1 5 }}]
Line 155: Line 356:


Badness: 0.0416
Badness: 0.0416
</div></div>


== 13-limit ==
== 13-limit ==
Period: 1\2
Optimal ([[POTE]]) generator: ~8/7 = 230.966
EDO generators: [[10edo|2\10]], [[16edo|3\16]], [[26edo|5\26]]
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: 45/44, 50/49, 65/64, 78/77
Comma list: 45/44, 50/49, 65/64, 78/77
POTE generator: ~8/7 = 230.966


Mapping: [{{val| 2 2 5 6 5 7 }}, {{val| 0 3 -1 -1 5 1 }}]
Mapping: [{{val| 2 2 5 6 5 7 }}, {{val| 0 3 -1 -1 5 1 }}]
Line 166: Line 382:


Badness: 0.0255
Badness: 0.0255
</div></div>


= Crepuscular =
= Crepuscular =