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what is the sound of permutations in the sport of change ringing a team of people each ringing one bell play a long sequence of permutations without any repetitions they use no written score so theyre following an algorithm for generating permutations in their head with end notes there are n factorial sequences in which you can play them so with these ten bells there are over three million possible orders and will take months to play them all to see the idea lets simplify the just three notes there are six permutations of a b and c so its easy to play them all i just play them in alphabetic order which is easy on the piano but that doesnt work with bells church bells are massive weighing hundreds or thousands of pounds so they have a natural period to the swing thats not easy to lengthen or shorten so when change ringing that timing of each bell cant move by more than one position forward or back from one permutation to the next for example playing the six permutations of three n
