[r-t] Long lengths of Bristol Surprise Major

[Alan Reading]

RAS wrote:

Sadly it's one of those questions where gut instinct is all we've got.  I'm
> not even aware of a valid theoretical basis to use to get an upper bound on
> the longest possible touch of a method.


I'm pretty sure you can get any multiple of 80640 in BS8 ;-)

I recall Rod Pipe telling me that he and Peter Border believed the longest
> length should be a nice, round fraction of the extent.  I forget the forget
> the value Rod suggested; possibly it was 2/3 (i.e. 26800).  But whatever it
> was, it was ruled out before Andrew's most recent contribution, which now
> rules out 3/4 (i.e. 30240).


http://ringing.info/peter-border-frames.html - It appears they identified
973 mutually true leads which would give a 31,136 if they could be joined
(which I imagine might be pretty hard!). Andrew's composition is only 7
leads off 973 which is pretty impressive. It would be very interesting if
anyone could find more than 973 mutually true leads, or if anyone ever has?

Cheers,
Alan



On 18 March 2016 at 12:08, Richard Smith <richard at ex-parrot.com> wrote:

> Mark Davies wrote:
>
> Fabulous achievement, Andrew. Is this close to the practical limit for the
>> method, do you think?
>>
>
> Sadly it's one of those questions where gut instinct is all we've got.
> I'm not even aware of a valid theoretical basis to use to get an upper
> bound on the longest possible touch of a method.
>
> I recall Rod Pipe telling me that he and Peter Border believed the longest
> length should be a nice, round fraction of the extent.  I forget the forget
> the value Rod suggested; possibly it was 2/3 (i.e. 26800).  But whatever it
> was, it was ruled out before Andrew's most recent contribution, which now
> rules out 3/4 (i.e. 30240).
>
> Whilst I'd like to believe the longest possible length is a round number,
> I don't actually think it's likely to be the case.
>
> RAS
>
>
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