Bapbo clan: Difference between revisions
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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 [[8/7]] and 2 make [[5/4]] | 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]], [[baba]] and [[uncle]]. | ||
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[[Optimal tuning]] ([[CTE]]): ~[[2/1]] = 1\1, ~[[8/7]] = 198.709 | [[Optimal tuning]] ([[CTE]]): ~[[2/1]] = 1\1, ~[[8/7]] = 198.709 | ||
[[Support]]ing [[ET]]s: 6, 5, 7, 11, 17c, 13c, 23c, 19d, 29cd, 16c, 25d, 35cd, 31d, 28c | |||
Revision as of 09:02, 8 September 2023
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