The True Permutations of the Bells
Murphy, Aileen M.
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Change ringing is the art of ringing tower bells, dating back to the early 17th century. The "songs" (methods) rung are composed of permutations of the bells. Each permutation can occur only once in a method, or else the method is said to be "false". For the most common class of methods, falseness has been partitioned into "types" . The question we will address here is: for different classes of methods, is the partitioning of falseness isomorphic to that of the most common class?