Generator preimage: Difference between revisions
Dave Keenan (talk | contribs) Added "Also known as a generator preimage transversal or generator detempering." |
Dave Keenan (talk | contribs) m Embolden alternative terms |
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Also known as a generator preimage transversal or 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= | ||