Generator preimage: Difference between revisions
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Cmloegcmluin (talk | contribs) I agree it's no good that this page doesn't link to Detempering, but isn't it better to give the explanatory link in the opening, since it's half of the name for this concept? |
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Also known as a '''generator preimage transversal''' or a '''generator detempering'''. Every [[generator]] of a [[regular temperament]] has a [[preimage]], which is an infinite set of JI intervals that map to it. A [[transversal]] means a selection of one representative element from each of a list of sets. So if for each generator in our temperament's list of generators we choose one JI interval that maps to it, then we have a generator preimage transversal for that temperament. | Also known as a '''generator preimage transversal''' or a '''generator [[detempering]]'''. Every [[generator]] of a [[regular temperament]] has a [[preimage]], which is an infinite set of JI intervals that map to it. A [[transversal]] means a selection of one representative element from each of a list of sets. So if for each generator in our temperament's list of generators we choose one JI interval that maps to it, then we have a generator preimage transversal for that temperament. | ||
=Technical Definition= | =Technical Definition= | ||
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getGptSmithMethod[{{1,2,4},{0,-1,-4}}] (* {{1,2},{0,-1},{0,0}} = 2/1 and 4/3 as expected *) | getGptSmithMethod[{{1,2,4},{0,-1,-4}}] (* {{1,2},{0,-1},{0,0}} = 2/1 and 4/3 as expected *) | ||
</syntaxhighlight>}} | </syntaxhighlight>}} | ||
[[Category:generator]] | [[Category:generator]] | ||
[[Category:Regular temperament theory]] | [[Category:Regular temperament theory]] | ||
[[Category:todo:reduce_mathslang]] | [[Category:todo:reduce_mathslang]] | ||