Bapbo clan: Difference between revisions
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{{Technical data page}} | |||
The '''bapbo clan''' of temperaments all temper out the comma [[256/245]], the bapbo comma, all deriving from the no-threes bapbo temperament. This means the generator represents both [[35/32]] and [[8/7]] and 2 make [[5/4]] (a sort of "meantone" but using different seconds than 10/9 and 9/8). | The '''bapbo clan''' of temperaments all temper out the comma [[256/245]], the bapbo comma, all deriving from the no-threes bapbo temperament. This means the generator represents both [[35/32]] and [[8/7]] and 2 make [[5/4]] (a sort of "meantone" but using different seconds than 10/9 and 9/8). | ||
Temperaments discussed elsewhere include [[dominant]], [[baba]] and [[uncle]]. | Temperaments discussed elsewhere include [[dominant (temperament)|dominant]], [[baba]] and [[uncle]]. | ||
== Bapbo == | == Bapbo == | ||
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[[Support]]ing [[ET]]s: {{EDOs|6, 5, 7, 11, 17c, 13c, 23c, 19d, 29cd, 16c, 25d, 35cd, 31d, 28c}} | [[Support]]ing [[ET]]s: {{EDOs|6, 5, 7, 11, 17c, 13c, 23c, 19d, 29cd, 16c, 25d, 35cd, 31d, 28c}} | ||
[[Badness]]: 0.566 | |||
=== No-threes 11-limit === | |||
[[Subgroup]]: 2.5.7.11 | |||
[[Comma list]]: 80/77, 176/175 | |||
{{mapping|1 2 3 3|0 2 -1 3|legend=2}} | |||
Mapping generators: ~[[2/1]], ~[[8/7]] | |||
[[Optimal tuning]] ([[CTE]]): ~[[2/1]] = 1\1, ~[[8/7]] = 191.779 | |||
[[Support]]ing [[ET]]s: {{EDOs|6, 5e, 7, 13e, 11e, 19d, 17[+5, +11], 25[+7, +11], 23[+5, +11], 31[+7, +11], 29[+5, +7, ++11], 37[+7, +11], 35[+5, +7, ++11], 43[+7, +11]}} | |||
[[Badness]]: 0.566 | |||
== Summary of full 7-limit extensions == | |||
[[Category:Temperament clans]] | |||
[[Category:Pages with mostly numerical content]] | |||
Latest revision as of 00:31, 24 June 2025
- This is a list showing technical temperament data. For an explanation of what information is shown here, you may look at the technical data guide for regular temperaments.
The bapbo clan of temperaments all temper out the comma 256/245, the bapbo comma, all deriving from the no-threes bapbo temperament. This means the generator represents both 35/32 and 8/7 and 2 make 5/4 (a sort of "meantone" but using different seconds than 10/9 and 9/8).
Temperaments discussed elsewhere include dominant, baba and uncle.
Bapbo
Subgroup: 2.5.7
Sval mapping: [⟨1 2 3], ⟨0 2 -1]]
Mapping generators: ~2/1, ~8/7
Optimal tuning (CTE): ~2/1 = 1\1, ~8/7 = 198.709
Supporting ETs: 6, 5, 7, 11, 17c, 13c, 23c, 19d, 29cd, 16c, 25d, 35cd, 31d, 28c
Badness: 0.566
No-threes 11-limit
Subgroup: 2.5.7.11
Comma list: 80/77, 176/175
Sval mapping: [⟨1 2 3 3], ⟨0 2 -1 3]]
Mapping generators: ~2/1, ~8/7
Optimal tuning (CTE): ~2/1 = 1\1, ~8/7 = 191.779
Supporting ETs: 6, 5e, 7, 13e, 11e, 19d, 17[+5, +11], 25[+7, +11], 23[+5, +11], 31[+7, +11], 29[+5, +7, ++11], 37[+7, +11], 35[+5, +7, ++11], 43[+7, +11]
Badness: 0.566