Generator preimage: Difference between revisions
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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 generators preimage transversal for that temperament. | 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 generators preimage transversal for that temperament. | ||
=Technical Definition= | =Technical Definition= | ||