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Ripple family: Difference between revisions

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= Ripple =
= Ripple =


Period: 1\1
[[Comma list]]: 6561/6250


Optimal ([[POTE]]) generators: ~27/25 = 100.838
[[Mapping]]: [{{val| 1 2 3 }}, {{val| 0 -5 -8 }}]


EDO generators: [[11edo|1\11]], [[12edo|1\12]], [[13edo|1\13]]
[[POTE generator]]: ~27/25 = 100.838
 
Scales:  
 
<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: 6561/6250
 
Mapping: [{{val| 1 2 3 }}, {{val| 0 -5 -8 }}]


{{Val list|legend=1| 11c, 12, 71b, 83b, 95b, 107bc, 119bc }}
{{Val list|legend=1| 11c, 12, 71b, 83b, 95b, 107bc, 119bc }}


Badness: 0.1389
[[Badness]]: 0.1389
 
</div></div>


= 7-limit =
= 7-limit =
{{see also| Mint temperaments #Ripple }}
{{see also| Mint temperaments #Ripple }}


Period: 1\1
[[Comma list]]: 36/35, 2560/2401


Optimal ([[POTE]]) generators: ~21/20 = 99.483
[[Mapping]]: [{{val| 1 2 3 3 }}, {{val| 0 -5 -8 -2 }}]


EDO generators: [[11edo|1\11]], [[12edo|1\12]], [[13edo|1\13]]
{{Multival|legend=1| 5 8 2 1 -11 -18 }}


Scales:  
[[POTE generator]]: ~21/20 = 99.483
 
<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: 36/35, 2560/2401
 
Mapping: [{{val| 1 2 3 3 }}, {{val| 0 -5 -8 -2 }}]
 
{{Multival|legend=1| 5 8 2 1 -11 -18 }}


{{Val list|legend=1| 11c, 12 }}
{{Val list|legend=1| 11c, 12 }}


Badness: 0.0597
[[Badness]]: 0.0597
 
</div></div>


== 11-limit ==
== 11-limit ==
Period: 1\1
Optimal ([[POTE]]) generators: ~21/20 = 99.385
EDO generators: [[11edo|1\11]], [[12edo|1\12]], [[13edo|1\13]]
Scales:
<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: 36/35, 80/77, 126/121
Comma list: 36/35, 80/77, 126/121


Mapping: [{{val| 1 2 3 3 4 }}, {{val| 0 -5 -8 -2 -6 }}]
Mapping: [{{val| 1 2 3 3 4 }}, {{val| 0 -5 -8 -2 -6 }}]
POTE generator: ~21/20 = 99.385


{{Val list|legend=1| 12 }}
{{Val list|legend=1| 12 }}


Badness: 0.0388
Badness: 0.0388
</div></div>


== 13-limit ==
== 13-limit ==
Period: 1\1
Optimal ([[POTE]]) generators: ~21/20 = 98.572
EDO generators: [[11edo|1\11]], [[12edo|1\12]], [[13edo|1\13]]
Scales:
<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: 36/35, 40/39, 66/65, 147/143
Comma list: 36/35, 40/39, 66/65, 147/143


Mapping: [{{val| 1 2 3 3 4 4 }}, {{val| 0 -5 -8 -2 -6 -3 }}]
Mapping: [{{val| 1 2 3 3 4 4 }}, {{val| 0 -5 -8 -2 -6 -3 }}]
POTE generator: ~21/20 = 98.572


{{Val list|legend=1| 12f }}
{{Val list|legend=1| 12f }}


Badness: 0.0316
Badness: 0.0316
</div></div>


= Hemiripple =
= Hemiripple =
{{see also| Slendro clan #Hemiripple }}
{{see also| Slendro clan #Hemiripple }}


Period: 1\1
Subgroup: 2.3.5.7


Optimal ([[POTE]]) generator: ~36/35 = 50.826
[[Comma list]]: 49/48, 6561/6250


EDO generators: [[23edo|1\23]], [[24edo|1\24]]
[[Mapping]]: [{{val| 1 2 3 3 }}, {{val| 0 -10 -16 -5 }}]


Scales (Scala files):
{{Multival|legend=1| 10 16 5 2 -20 -33 }}


<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;">
[[POTE generator]]: ~36/35 = 50.826
<div style="line-height:1.6;">Technical data</div>
<div class="mw-collapsible-content">
 
Subgroup: 2.3.5.7
 
Comma list: 49/48, 6561/6250
 
Mapping: [{{val| 1 2 3 3 }}, {{val| 0 -10 -16 -5 }}]
 
Wedgie: {{wedgie| 10 16 5 2 -20 -33 }}


{{Val list|legend=1| 23d, 24, 47d, 71bd }}
{{Val list|legend=1| 23d, 24, 47d, 71bd }}


Badness: 0.1751
[[Badness]]: 0.1751
 
</div></div>


== 11-limit ==
== 11-limit ==
Period: 1\1
Optimal ([[POTE]]) generator: ~36/35 = 50.826
EDO generators: [[23edo|1\23]], [[24edo|1\24]]
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
Subgroup: 2.3.5.7.11
Line 148: Line 76:


Mapping: [{{val| 1 2 3 3 4 }}, {{val| 0 -10 -16 -5 -13 }}]
Mapping: [{{val| 1 2 3 3 4 }}, {{val| 0 -10 -16 -5 -13 }}]
POTE generator: ~36/35 = 50.826


{{Val list|legend=1| 23de, 24, 47de, 71bde }}
{{Val list|legend=1| 23de, 24, 47de, 71bde }}


Badness: 0.0668
Badness: 0.0668
</div></div>


== 13-limit ==
== 13-limit ==
Period: 1\1
Optimal ([[POTE]]) generator: ~36/35 = 50.635
EDO generators: [[23edo|1\23]], [[24edo|1\24]]
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
Subgroup: 2.3.5.7.11.13
Line 174: Line 90:


Mapping: [{{val| 1 2 3 3 4 4 }}, {{val| 0 -10 -16 -5 -13 -7 }}]
Mapping: [{{val| 1 2 3 3 4 4 }}, {{val| 0 -10 -16 -5 -13 -7 }}]
POTE generator: ~36/35 = 50.635


{{Val list|legend=1| 23de, 24, 47de, 71bde }}
{{Val list|legend=1| 23de, 24, 47de, 71bde }}


Badness: 0.0466
Badness: 0.0466
</div></div>


= Cohemiripple =
= Cohemiripple =
{{see also| Sensamagic clan #Cohemiripple }}
{{see also| Sensamagic clan #Cohemiripple }}
Period: 1\1
Optimal ([[POTE]]) generators: ~7/5 = 549.944
EDO generators: [[11edo|5\11]], [[13edo|6\13]], [[12edo|11\24]]
Scales:
<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
Subgroup: 2.3.5.7


Comma list: 245/243, 1323/1250
[[Comma list]]: 245/243, 1323/1250


Mapping: [{{val| 1 7 11 12 }}, {{val| 0 -10 -16 -17 }}]
[[Mapping]]: [{{val| 1 7 11 12 }}, {{val| 0 -10 -16 -17 }}]


{{Multival|legend=1| 10 16 17 2 -1 -5 }}
{{Multival|legend=1| 10 16 17 2 -1 -5 }}
[[POTE generator]]: ~7/5 = 549.944


{{Val list|legend=1| 11cd, 13cd, 24 }}
{{Val list|legend=1| 11cd, 13cd, 24 }}


Badness: 0.1902
[[Badness]]: 0.1902
 
</div></div>


== 11-limit ==
== 11-limit ==
Period: 1\1
Optimal ([[POTE]]) generators: ~7/5 = 549.945
EDO generators: [[11edo|5\11]], [[13edo|6\13]], [[12edo|11\24]]
Scales:
<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
Subgroup: 2.3.5.7.11
Line 229: Line 121:


Mapping: [{{val| 1 7 11 12 17 }}, {{val| 0 -10 -16 -17 -25 }}]
Mapping: [{{val| 1 7 11 12 17 }}, {{val| 0 -10 -16 -17 -25 }}]
POTE generator: ~7/5 = 549.945


{{Val list|legend=1| 11cdee, 13cdee, 24 }}
{{Val list|legend=1| 11cdee, 13cdee, 24 }}
Line 237: Line 131:


== 13-limit ==
== 13-limit ==
Period: 1\1
Optimal ([[POTE]]) generators: ~7/5 = 549.958
EDO generators: [[11edo|5\11]], [[13edo|6\13]], [[12edo|11\24]]
Scales:
<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
Subgroup: 2.3.5.7.11.13
Line 255: Line 137:


Mapping: [{{val| 1 7 11 12 17 14 }}, {{val| 0 -10 -16 -17 -25 -19 }}]
Mapping: [{{val| 1 7 11 12 17 14 }}, {{val| 0 -10 -16 -17 -25 -19 }}]
POTE generator: ~7/5 = 549.958


{{Val list|legend=1| 11cdeef, 13cdeef, 24 }}
{{Val list|legend=1| 11cdeef, 13cdeef, 24 }}
Line 265: Line 149:
[[Category:Temperament family]]
[[Category:Temperament family]]
[[Category:Ripple]]
[[Category:Ripple]]
[[Category:Rank 2]]
[[Category:Rank 2]]
[[Category:Rank 2]]
Retrieved from "https://en.xen.wiki/w/Ripple_family"