Shibboleth family: Difference between revisions
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* [[superthird]], {245/243, 78125/76832} → [[Sensamagic clan #Superthird]] | * [[superthird]], {245/243, 78125/76832} → [[Sensamagic clan #Superthird]] | ||
== Shibboleth | == Shibboleth == | ||
Subgroup: 2.3.5 | Subgroup: 2.3.5 | ||
| Line 16: | Line 15: | ||
{{Val list|legend=1| 15, 26, 41, 179c, 220c, 261cc, 302cc }} | {{Val list|legend=1| 15, 26, 41, 179c, 220c, 261cc, 302cc }} | ||
[[Badness]]: 0. | [[Badness]]: 0.227553 | ||
== Superkleismic | == Superkleismic == | ||
{{see also| Gamelismic clan #Superkleismic }} | {{see also| Gamelismic clan #Superkleismic }} | ||
| Line 26: | Line 25: | ||
[[Mapping]]: [{{val| 1 4 5 2 }}, {{val| 0 -9 -10 3 }}] | [[Mapping]]: [{{val| 1 4 5 2 }}, {{val| 0 -9 -10 3 }}] | ||
{{Multival|legend=1| 9 10 -3 -5 -30 -35 }} | |||
[[POTE generator]]: ~6/5 = 321.930 | [[POTE generator]]: ~6/5 = 321.930 | ||
| Line 31: | Line 32: | ||
{{Val list|legend=1| 11c, 15, 26, 41 }} | {{Val list|legend=1| 11c, 15, 26, 41 }} | ||
[[Badness]]: 0. | [[Badness]]: 0.047932 | ||
=== 11-limit === | |||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
| Line 43: | Line 43: | ||
POTE generator: ~6/5 = 321.847 | POTE generator: ~6/5 = 321.847 | ||
{{Val list | Vals: {{Val list| 11c, 15, 26, 41, 261ccdee }} | ||
Badness: 0. | Badness: 0.025659 | ||
=== 13-limit === | |||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
| Line 57: | Line 56: | ||
POTE generator: ~6/5 = 321.994 | POTE generator: ~6/5 = 321.994 | ||
{{Val list | Vals: {{Val list| 11cf, 15, 26, 41 }} | ||
Badness: 0. | Badness: 0.021478 | ||
== Gilead == | |||
Subgroup: 2.3.5.7 | |||
[[Comma list]]: 126/125, 343/324 | |||
[[Mapping]]: [{{val| 1 4 5 6 }}, {{val| 0 -9 -10 -12 }}] | |||
{{Multival|legend=1| 9 10 12 -5 -6 0 }} | |||
[[POTE generator]]: ~6/5 = 321.423 | [[POTE generator]]: ~6/5 = 321.423 | ||
{{Val list|legend=1| 11cd, 15, 41dd, 56dd }} | {{Val list|legend=1| 11cd, 15, 41dd, 56dd }} | ||
[[Badness]]: 0. | [[Badness]]: 0.115292 | ||
[[Category:Regular temperament theory]] | [[Category:Regular temperament theory]] | ||
Revision as of 09:34, 3 June 2021
The shibboleth family tempers out the shibboleth comma, 1953125/1889568.
Temperaments discussed elsewhere include:
- superthird, {245/243, 78125/76832} → Sensamagic clan #Superthird
Shibboleth
Subgroup: 2.3.5
Comma list: 1953125/1889568
Mapping: [⟨1 4 5], ⟨0 -9 -10]]
POTE generator: ~6/5 = 321.852
Badness: 0.227553
Superkleismic
Subgroup: 2.3.5.7
Comma list: 875/864, 1029/1024
Mapping: [⟨1 4 5 2], ⟨0 -9 -10 3]]
Wedgie: ⟨⟨ 9 10 -3 -5 -30 -35 ]]
POTE generator: ~6/5 = 321.930
Badness: 0.047932
11-limit
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]]
POTE generator: ~6/5 = 321.847
Vals: Template:Val list
Badness: 0.025659
13-limit
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]]
POTE generator: ~6/5 = 321.994
Vals: Template:Val list
Badness: 0.021478
Gilead
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 ]]
POTE generator: ~6/5 = 321.423
Badness: 0.115292