[r-t] Runny compositions

AG Reading ar5597 at bristol.ac.uk
Mon Nov 26 11:52:24 UTC 2007

The figures for the composition are on the web. I see Richard had already
provided a link to it. I thought it might be of interest to give brief
description of how the composition is constructed.

It is basically a palindrome, the points of symmetry being about the
middle of a lead of Bristol and a lead of Americium. It is constructed in
3 lead sections each of which are themselves palindromic.

 All the runs at the back come in methods which start -5-4.5- with the
exception of Gem which starts -56-4-56- and does provide some runs at the
back. The ones of the front are more subtle though.

 Dunster is a very useful method as it provides pairs of runs of the front
in the same lead as ones at the back. Barnstormer is designed to give the
remaining 4
runs and link the 2 leads of Dunster together, thus the course Dunster
Barnstomer Dunster gives a total of 8 runs of the front. This is used for
times in each part to give 32 of the 48 runs required.

The most awkward course is the plain course since it provides both 5678
and 5432 runs and so only ringing 3 leads of it would inevitably miss some
out. To get round this problem I used Americium which, like Dunster,
starts -5-4.5-5.36-4-5- and in affect links 2 leads of Dunster together.
Also being a-group it can be twice bobed to obtain the "cyclic shunt". 
The remaining plain course runs appear in the 2 leads Gem which is a
similar below to barnstormer and gives the same runs, but being (nearly)
cornwall above provides the necceseray runs at the back.  The pivotal lead
of Bristol provides no runs but simply links the 2 leads of Gem together.

The 78 in the place notations of Barnstormer and Gem are required to
switch the parity between the runs that occur when the treble is in 5-6
and those when it is in 7-8, in order that they are distinct from runs
that occur in Dunster.


On Sun, November 25, 2007 12:27 am, Philip Earis wrote:
> It's certainly a very desirable musical property - all 96 of the runs of
> each type (****5678 ****8765 5678**** 8765****) and cyclic permutations
> thereof). Ander Holroyd's "runny" compositions of Plain Bob and Bristol
> <http://www.math.ubc.ca/~holroyd/comps> achieve this, albeit not in cyclic
> form.
> I would of course be interested to see Alan's composition, which I'm
> interested in and I'm sure would be very worthwhile to ring, though at a
> first glance the methods look perhaps a bit of sledgehammer way of
> achieving
> the effect.
> Don Morrsion has a 23-spliced composition on his website at
> <http://ringing.org/main/pages/peals/major/spliced-surprise/23+m> which
> has
> most of the music over the treble (but greatly reduced under) which also
> takes a slightly forced approach, with an abundance of methods
> beginning -34-4-2.
> As I've mentioned a few times on here, the holy grail is to get a
> "worthwhile" 23-spliced major composition that packs in all 96 runs of
> each
> type.  I've got a bit about this on my website (though it needs updating)
> at
> <http://www.cantabgold.net/users/pje24/earis23.html>.  I've rung a cyclic
> 23-spliced composition that has 81 of the 96 runs
> <http://www.campanophile.co.uk/show.aspx?Code=50541>, and am going for a
> modified version that has 89 of the runs in a couple of weeks.  I have a
> further-modified composition I quite like that contains 95 of the 96 runs,
> but sadly despite quite a lot of playing haven't been able to hit the
> jackpot yet.
> ----- Original Message -----
> From: Ben Willetts
> To: ringing-theory at bellringers.net
> Sent: Saturday, November 24, 2007 2:54 PM
> Subject: [r-t] Runny compositions
> I notice a G&B peal rung at Clevedon on 2 November and reported in this
> week's comic.  The composition was spliced Dunster, Bristol, Barnstormer*,
> Americium and Gem* S, and Rare Hare* D [* new methods], composed and
> conducted by Alan Reading, with the footnote "this cyclic composition
> contains all 384 possible runs of 4 consecutive bells (excluding those
> involving the treble) at the front or back".
> Some questions have occurred to me.
> Is this a unique footnote?  Which other compositions have come close to
> this
> figure?  Have any also included the 4-runs involving the treble?
> Are there any methods or compositions specifically designed to maximise
> 4-runs in the middle of the change, rather than just front or back?
> The methods rung are quite Bristol-y or Cornwall-y, but I notice that
> Dunster has the bells in  mega-tittums at the half-lead.  Could this type
> of
> feature be useful in half-lead spliced, and has it ever been exploited?
> Ben
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