[r-t] All 4-runs in a quarter peal

Alexander Holroyd holroyd at math.ubc.ca
Fri Jan 23 06:40:51 UTC 2015

```Motivated by some of the discussions of the last few weeks, I started to
wonder whether it might be possible to get all 384 non-treble front and
back 4-runs into a 7-part 1344 of treble-dodging major.  This is pretty
constraining, but after a lot of fiddling I managed to do it without any
occurrences of 3 or more blows in the same place.

Each lead contains at least 7 runs, and each section contains exactly 2
potential runs (i.e. including things like -7823 that become runs in other
parts).

Not sure quite what to describe it as, since all the leads are asymmetric.
Free-form treble-dodging, perhaps.

In the present form it has a quite a few "features" generally regarded as
undesirable.  I doubt anyone would want to ring it.  It is a proof of
concept to be improved on.  There isn't much flexibility, but it might be
possible to develop it into something vaguely ringable.

cheers, Ander

PN for a part:

-34-4-2.56.23-7.4.3.4.56-2345-56-5-7.34.1.56.2-4-34-2
-34-4-2-36-7-5-56-5-56-5-7.34.67-2.5.6.5.34-2
-34-4567-2.5.36.4.7-2345-56-7-56.4.3.4.7-23.56.2-4-34-2
-34-4-2-1-7-5-56-2345-56-2345-7.4.36.5.2-4567-34-2
-34.5.6.5.2-67.34.7-5-56-7-56-5-7-3-2-4-34-2
-34-4-2.56.1.34.7-5-56-7-56-5-7-6-2-4-34-2

Grid:

http://www.boojum.org.uk/cgi-bin/line.pl?bells=8&pn=-34-4-2.56.23-7.4.3.4.56-2345-56-5-7.34.1.56.2-4-34-2-34-4-2-36-7-5-56-5-56-5-7.34.67-2.5.6.5.34-2-34-4567-2.5.36.4.7-2345-56-7-56.4.3.4.7-23.56.2-4-34-2-34-4-2-1-7-5-56-2345-56-2345-7.4.36.5.2-4567-34-2-34.5.6.5.2-67.34.7-5-56-7-56-5-7-3-2-4-34-2-34-4-2.56.1.34.7-5-56-7-56-5-7-6-2-4-34-2&qs=Grid&lines=1&line=2&line1=b&line1c=red&line1w=1%20pt&line2=b&line2b=2345678&line2w=1%20pt&style=1&place-bellsx=on&miss-numbers=never&layout=1&paper-size=Other&paper-sizew=11in&paper-sizeh=8.5in&total-X=1&total-Xx=leads&fitw=8in&fith=8in&X-per-column=32&X-per-columnx=rows&fine=1&hgap=1.2cm&action.x=1

Line:

http://www.boojum.org.uk/cgi-bin/line.pl?bells=8&pn=-34-4-2.56.23-7.4.3.4.56-2345-56-5-7.34.1.56.2-4-34-2-34-4-2-36-7-5-56-5-56-5-7.34.67-2.5.6.5.34-2-34-4567-2.5.36.4.7-2345-56-7-56.4.3.4.7-23.56.2-4-34-2-34-4-2-1-7-5-56-2345-56-2345-7.4.36.5.2-4567-34-2-34.5.6.5.2-67.34.7-5-56-7-56-5-7-3-2-4-34-2-34-4-2.56.1.34.7-5-56-7-56-5-7-6-2-4-34-2&qs=Line&style=1&place-bellsx=on&guides=s&action.x=1

```

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