[r-t] Methods with unusual falseness and beautiful symmetry

Alexander Holroyd holroyd at math.ubc.ca
Wed Jul 30 05:43:42 UTC 2008

Interesting.  So is a bobs-only peal possible??

On Wed, 30 Jul 2008, Philip Earis wrote:

> The "U" falseness group is pretty uncommon -  it means the plain course is
> false against the courses given by three homes/ wrongs / middles, often
> leading to falseness problems in compositions.
> There are a few rung methods with U falseness - however these tend to have
> a variety of other falseness groups also.  An example would be Romsey
> Surprise Major (f &3-3.6-2-36-4-5.34.6-5, 12, BDNU/e falseness)
> However, I've just stumbled accross a very neat and musical treble-dodging
> major method that has only U falsness (and none other). I don't think
> there are any rung methods with this property.
> This new delight major method has conventional palindromic and double
> symmetry. What makes this method interesting is that no individual section
> is symmetric; however coupled to this it does a beautiful additional
> sub-symmetry, whereby each quarter lead has palindromic symmetry within
> it.
> The method is b &-,2 (44 <4-runs> in the plain
> course)
> After a bit of research, I see that a slightly different method with
> similar symmetry properties was first rung in 1985 at Barrow Gurney (A
> Tony Cox method?):
> Great Western Delight Major b &56-5.6.5-56.1.34-4.3.4-34.7,2 (Ka
> falseness, 24 <4-runs> in the plain course)
> Are there any other methods with this property? (They don't need to be
> conventionally double).
> On a vaguely related point, in a message to this list in May 2005 I also
> highlighted an unrung double method where each quarter-lead was also
> purely  double - f &-34-45-56-2367-34-45-56-7) - see
> <http://www.bellringers.org/pipermail/ringing-theory_bellringers.net/2005-May/000928.html>
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