Generator preimage: Difference between revisions

Cmloegcmluin (talk | contribs)
m depluralize
Dave Keenan (talk | contribs)
Added "Also known as a generator preimage transversal or generator detempering."
Line 1: Line 1:
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 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=