[r-t] Major methods where anything goes
pje24 at cantab.net
Wed Jul 29 09:53:52 UTC 2015
Just to bring together a few strands that have surfaced on the Ringing
Methods facebook group and elsewhere in recent days...
John Bissell got in touch about the double method Megan Delight major (e
&x36x1x5x36x4x1x36x7, 12 EL falseness), in which the first peal was
recently rung (http://bb.ringingworld.co.uk/view.php?id=447009).
Megan is the 7ths/2nds counterpart to Cambridge Blue Delight Major,which was
first rung in a peal containing the only 4 regular double treble-dodging
major methods with no adjacent places at all in the notation
(http://www.cantabgold.net/users/pje24/nonadj.html). Cambridge Blue is an
extremely fluid method, with much complete plain hunting from front to back
(and of course from back to front).
One of the properties John liked about Megan is that a peal composition is
very easy to achieve...indeed any composition that leaves bells 6,7,8
unaffected will be true. A simple 24-course block arrangement was used for
5376 (5152) Megan Delight Major
2345 W H
3542 2 ss
4235 - -
Six part : single for bob at halfway and end. For 5152 omit one ss
Whilst the falseness groups that are often seen in rung methods, like B and
D, have courses with the 6 in 6ths that are false against the plain course
(as indeed do the a and c fchs present in “clean” methods like Bristol and
Cray), in a method like Megan where any "6,7,8 unaffected" composition can
be called you still have CEGHILMNORSbef at your disposal.
To test how common this property is, I did a quick search of all
treble-dodging major methods with fairly constrained properties to keep the
search space small (treble does one dodge in each position, conventional
palindromic symmetry, regular leadheads, no bell makes more than 2
consecutive blows, no more than 2 places made in any change, no places in
7ths except at the healflead, and all sections symmetrical)
The results indicate that just 608 (0.93%) of the 62627 methods generated
have this property, and the only rung (named) methods are Megan and
Cambridge Blue Delight. There are some structurally interesting methods
produced, like the double &36x36.4x5x1x4x5.36x36.7, 12, but I won’t be
rushing out to ring this soon...
On a slightly related point, Stephen Beckingham has posed the question if
there are any nicer treble-dodging major methods than the mx Muppet Show
has a rather fabulous mega-tittums course.
(As a reminder, Stephen has produced the interesting website
http://bex280.x10.mx/ to generate the most musical quarter peals in any
treble-dodging major method).
Rob Lee replied, pointing out Hat & Feathers Surprise (and indeed
Superlative) also have extremely nice mega-tittums courses, as has been
pointed out on here repeatedly. Rob flags up,
“I have had a look at other methods that generate as much music as Hat &
Feathers in the mega tittums course, if we relax the criteria of regular
lead ends. One possibility is the right place -36-4-2-1-7-5-36-3 (le 16),
but this is still a bit static. Far better is 36-22.214.171.124-36-126.96.36.199-36 (le
18). The 'effective' course end for these methods is 62534 and 54362
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