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 [[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 ==

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[[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

[[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 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]]

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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).
-Temperaments discussed elsewhere include [[dominant]], [[baba]] and [[uncle]].
+Temperaments discussed elsewhere include [[dominant (temperament)|dominant]], [[baba]] and [[uncle]].
 == Bapbo ==
@@ Line 14: / Line 15: @@
 [[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
+[[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]]