Bapbo clan: Difference between revisions

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== Summary of full 7-limit extensions ==
== Summary of full 7-limit extensions ==
[[Category:Temperament clans]]
[[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

Comma list: 256/245

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

Summary of full 7-limit extensions