Tuesday, April 19, 2016

[vjqzxiau] Change ringing

Change ringing with the bells ringing in sequence (as is traditionally done) is inefficient: a De Bruijn sequence can accomplish all permutations faster.

Instead of one bell at a time, ringing them as chords allows hearing every possible mixing.  Every possible n-chord sequence also seems doable for small n.

Neither of these work so well with the physical constraints on how often a single bell can be rung.  Both long gaps and rapid succession are bad.

No comments :