# [r-t] Emergency peal composition

Alexander Holroyd holroyd at math.ubc.ca
Fri Dec 14 20:13:19 UTC 2012

```Good work, Mark.  Do you have a proof that all 13 leads aren't possible?

On Sun, 9 Dec 2012, Mark Davies wrote:

> OK, here's a peal on Ander's plan, using the set of "little Bristol" methods.
> Here is the basic part, which produces 12 out of the 13 leads of each course
> (the maximum possible on this plan), and has four of those rung in reverse:
>
>  234567890ETAB	  3527496E8A0BT Bristol Little
>  ABET907856342 Bristol
>  BTA0E89674523 Bristol Little
>  42638507T9BEA Bristol
>  648203T5B7A9E Littleport Little
> x 795E3ABT20486 Bristol
>  08T6A4E29B735	Bristol
>  T0A8E694725B3	Littleport Little
>  64820BT3A5E79	Bristol12 Little
> x 5739BEAT20486	Bristol
>  08T6E4927A5B3	Bristol
>  AB234567890ET	Bristol
>
> x = 18
>
> There are various other ways of putting together such a part, but they all
> produce a peal of around 7500 changes, since the smaller little methods only
> tend to be useful for a few leads. I like this particular arrangement because
> it starts off with a big chunk of the plain course, and, crucially, has back
> rounds and the 234567890ETAB1 change in the "split" sections between the big
> bobs, meaning the former comes up at handstroke (the feature Ander liked) and
> the latter at backstroke, giving a wrap on rounds.
>
> In order to get a reasonable peal length, the first six methods (up to the
> first call) can be replaced with a single lead of Bristol12 Little; this can
> be done in all but two of the parts, which can be chosen to maximise the time
> in the most exciting cyclic music, as follows:
>
> 5040 Four-Spliced S Maximus (MBD)
>
>  234567890ETAB	  3527496E8A0BT *Bristol Little
>  ABET907856342 *Bristol
>  BTA0E89674523 *Bristol Little
>  42638507T9BEA *Bristol
>  648203T5B7A9E *Littleport Little
> x 795E3ABT20486 *Bristol
>  08T6A4E29B735	Bristol
>  T0A8E694725B3	Littleport Little
>  64820BT3A5E79	Bristol12 Little
> x 5739BEAT20486	Bristol
>  08T6E4927A5B3	Bristol
>  AB234567890ET	Bristol
>
> x=18
> 13 part. Replace the six starred leads with one lead of Bristol12 in every
> part except 1 and 6 (or 1 and 7).
>
> MBD
>
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```