Shibboleth family: Difference between revisions
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= Shibboleth = | = Shibboleth = | ||
Period: 1\1 | |||
Mapping: [{{val| 1 4 5 }}, {{val| 0 -9 -10 }}] | Optimal ([[POTE]]) generator: ~6/5 = 321.852 | ||
EDO generator: [[15edo|4\15]], [[26edo|7\26]], [[41edo|11\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 | |||
[[Comma list]]: 1953125/1889568 | |||
[[Mapping]]: [{{val| 1 4 5 }}, {{val| 0 -9 -10 }}] | |||
{{Val list|legend=1| 15, 26, 41, 179c, 220c, 261cc, 302cc }} | {{Val list|legend=1| 15, 26, 41, 179c, 220c, 261cc, 302cc }} | ||
Badness: 0.2276 | [[Badness]]: 0.2276 | ||
</div></div> | |||
= Superkleismic = | = Superkleismic = | ||
{{see also| Gamelismic clan #Superkleismic }} | {{see also| Gamelismic clan #Superkleismic }} | ||
Period: 1\1 | |||
Optimal ([[POTE]]) generator: ~6/5 = 321.930 | |||
EDO generator: [[15edo|4\15]], [[26edo|7\26]], [[41edo|11\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, 1029/1024 | [[Comma list]]: 875/864, 1029/1024 | ||
[[Mapping]]: [{{val| 1 4 5 2 }}, {{val| 0 -9 -10 3 }}] | [[Mapping]]: [{{val| 1 4 5 2 }}, {{val| 0 -9 -10 3 }}] | ||
| Line 24: | Line 51: | ||
[[Badness]]: 0.0479 | [[Badness]]: 0.0479 | ||
</div></div> | |||
== 11-limit == | == 11-limit == | ||
Period: 1\1 | |||
Optimal ([[POTE]]) generator: ~6/5 = 321.847 | |||
EDO generator: [[15edo|4\15]], [[26edo|7\26]], [[41edo|11\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: 100/99, 245/242, 385/384 | Comma list: 100/99, 245/242, 385/384 | ||
Mapping: [{{val| 1 4 5 2 4 }}, {{val| 0 -9 -10 3 -2 }}] | Mapping: [{{val| 1 4 5 2 4 }}, {{val| 0 -9 -10 3 -2 }}] | ||
| Line 36: | Line 77: | ||
Badness: 0.0257 | Badness: 0.0257 | ||
</div></div> | |||
== 13-limit == | == 13-limit == | ||
Period: 1\1 | |||
Optimal ([[POTE]]) generator: ~6/5 = 321.994 | |||
EDO generator: [[15edo|4\15]], [[26edo|7\26]], [[41edo|11\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: 100/99, 105/104, 245/243, 1188/1183 | Comma list: 100/99, 105/104, 245/243, 1188/1183 | ||
Mapping: [{{val| 1 4 5 2 4 8 }}, {{val| 0 -9 -10 3 -2 -16 }}] | Mapping: [{{val| 1 4 5 2 4 8 }}, {{val| 0 -9 -10 3 -2 -16 }}] | ||
| Line 48: | Line 103: | ||
Badness: 0.0215 | Badness: 0.0215 | ||
</div></div> | |||
= Gilead = | = Gilead = | ||
Period: 1\1 | |||
Optimal ([[POTE]]) generator: ~6/5 = 321.423 | |||
EDO generator: [[11edo|3\11]], [[15edo|4\15]] | |||
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: 126/125, 343/324 | Comma list: 126/125, 343/324 | ||
Mapping: [{{val| 1 4 5 6 }}, {{val| 0 -9 -10 -12 }}] | Mapping: [{{val| 1 4 5 6 }}, {{val| 0 -9 -10 -12 }}] | ||
| Line 58: | Line 128: | ||
{{Multival|legend=1| 9 10 12 -5 -6 0 }} | {{Multival|legend=1| 9 10 12 -5 -6 0 }} | ||
{{Val list|legend=1| 11cd, 15, | {{Val list|legend=1| 11cd, 15, 41dd, 56dd }} | ||
Badness: 0.1153 | Badness: 0.1153 | ||
</div></div> | |||
[[Category:Theory]] | [[Category:Theory]] | ||
Revision as of 05:51, 21 March 2021
The shibboleth family tempers out the shibboleth comma, 1953125/1889568.
Shibboleth
Period: 1\1
Optimal (POTE) generator: ~6/5 = 321.852
EDO generator: 4\15, 7\26, 11\41
Scales (Scala files):
Technical data
Superkleismic
Period: 1\1
Optimal (POTE) generator: ~6/5 = 321.930
EDO generator: 4\15, 7\26, 11\41
Scales (Scala files):
Technical data
11-limit
Period: 1\1
Optimal (POTE) generator: ~6/5 = 321.847
EDO generator: 4\15, 7\26, 11\41
Scales (Scala files):
Technical data
Subgroup: 2.3.5.7.11
Comma list: 100/99, 245/242, 385/384
Mapping: [⟨1 4 5 2 4], ⟨0 -9 -10 3 -2]]
Badness: 0.0257
13-limit
Period: 1\1
Optimal (POTE) generator: ~6/5 = 321.994
EDO generator: 4\15, 7\26, 11\41
Scales (Scala files):
Technical data
Subgroup: 2.3.5.7.11.13
Comma list: 100/99, 105/104, 245/243, 1188/1183
Mapping: [⟨1 4 5 2 4 8], ⟨0 -9 -10 3 -2 -16]]
Badness: 0.0215
Gilead
Period: 1\1
Optimal (POTE) generator: ~6/5 = 321.423
Scales (Scala files):
Technical data
Subgroup: 2.3.5.7
Comma list: 126/125, 343/324
Mapping: [⟨1 4 5 6], ⟨0 -9 -10 -12]]
Wedgie: ⟨⟨ 9 10 12 -5 -6 0 ]]
Badness: 0.1153