[r-t] Wraps in Minor

Philip Earis Earisp at rsc.org
Wed Jul 29 15:15:34 UTC 2009

A musical effect that is very nice is when there is a "wrap" of music from the handstroke to backstroke.  For example:

213654 (handstroke)
321645 (backstroke)

As has been discussed before on here, the number of wraps in a standard extent of minor changes significantly depending on the method being rung.  For minor, I summarised lots of the results on my website at http://www.cantabgold.net/users/pje24/music.html

Now a noted handbell ringer from Scotland (for the sake of anonymity let's call him "Mr T") has recently been reading that page, and posed the following conjectures:

"If one was to ring a 1,440 of each of the treble dodging minor methods (TDMMs), with each row once at handstroke and once at backstroke, would every TDMM produce the same number of wraps, or would some methods be better than others? Would the result be different for a 2,880 with each row rung once at each possible treble position?"

Elegant solutions are requested.


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