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

[Philip Earis]

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 &-56.5.6.5.56-1-34.4.3.4.34-7,2 (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>