[r-t] Multi-extent 5-part Surprise Minor

Alexander Holroyd holroyd at math.ubc.ca
Wed Aug 29 18:29:56 UTC 2012


Can it be done with only four changes of backwork per part?

On Wed, 29 Aug 2012, Alexander Holroyd wrote:

> Congratulations, John, this is absoltuely fantastic!  I have long thought 
> that something along these lines ought to be possible, but was not sure how 
> to go about the search.
>
> Ander
>
> On Wed, 29 Aug 2012, John Warboys wrote:
>
>> For the last 9 months I've been working on multi-extent 5-part Surprise
>> Minor compositions, and last night one of the resulting compositions was
>> rung at Birmingham Cathedral - all 41 regular methods all-the-work in 5760
>> changes, with a change of backwork and frontwork every lead.  It's been a
>> long haul from start to finish so I'm pleased that this project has now 
>> been
>> accomplished.
>> 
>> 
>> 
>> The maximum I've been able to get in 5040 changes is 39 methods, as far as 
>> I
>> can tell it's not possible to get all 41 in a normal peal length.
>> Nevertheless, 39 methods all-the-work in a normal peal length exceeds the
>> previous maximum by 3, and 41 all-the-work in 5760 changes beats the
>> previous minimum length for this by 2 extents.  Various different 5-part
>> peal compositions for 39 and 41 all-the-work, plus a variety of 1440s and
>> 2160s, can now be found on my website:
>> 
>> 
>> 
>> http://website.lineone.net/~jswcomps
>> 
>> 
>> 
>> You can also find there a (probably rather rambling) write-up of how I
>> approached this task and the issues which arose.  Whilst all my previous
>> compositions have included a plain lead of every method, this feature had 
>> to
>> be sacrificed in order to maximise the number of methods included, however
>> none of  the methods which you don't get plain leads of have both 2nds and
>> 6ths place variants, so they remain uniquely defined.
>> 
>> 
>> 
>> John
>> 
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