[r-t] Pitman's 13440 change compositions

[Alan Reading]

| I'm guessing that the rows in those 3 new leads are either ones that
would have appeared in the missing 3 leads from base course or else they
have 1,7&8 in a combination that doesn't occur in the base | |course.

I think it's even more sophisticated than that actually. If you look at the
rows approaching the course end in Rutland versus in Belvedere:
Rutland:              Belvedere:

*52317486*     *32417586
25134768*     *23145768
21537486*     *21347586
12354768*     *12435768*
21345678     21345678
12436587     1243658712345678     12345678

Then you've got a 3-way rotation in Belvedere against Rutland ->
So every time a course ends B instead of TWR that fixes two other
courses that must also so end (24536 and 25346 in the case of the
plain course).

I think there are 7 such courses per part as follows:

5xx6x
5x6xx
56xxx

6xx5x
6x5xx
65xxx

6xxx5

Which seem to fit into two sets of three and then a final one that is
handled by the part end.
Some relationship like this might even occur elsewhere in those leads,
I guess, although I haven't checked that.

Cheers,
Alan





On 9 August 2017 at 15:04, Alan Reading <alan.reading at googlemail.com> wrote:

> Roddy - "I think Pitman worked out that you cannot join 60 courses
> together with bobs only in full courses but of course in spliced you can
> ring bits of courses and then join blocks in so that all of the tenors
> together lead heads are rung but, as Eric Morecambe would say, not
> necessarily in the right order.
>
> So although Pitman has 20 courses in each part, they are not all seven
> leads long.
>
> In his 13440 he has some short courses and the missing leads are in the
> one with 2 or 3 at W.
>
>
> I haven’t written this out to prove my thinking but I must be close if not
> spot on."
>
> But there must also be something about those new leads that are introduced
> in order that it stays true against the base course (RWTETWR).
> You're effectively replacing the TWR with B plus a separate bW.
> I'm guessing that the rows in those 3 new leads are either ones that would
> have appeared in the missing 3 leads from base course or else they have
> 1,7&8 in a combination that doesn't occur in the base course.
>
> Cheers,
> Alan
>
> 13440 Spliced Surprise Major (6 methods)
> A J Pitman RW 1961 p287
>
>  23456    M  W  H   Methods
> -----------------------------------
>  52436       -      RWTETW/R
>  64235    -     -   R/WTETWR/
>  24536    -         R/WTETWR
>  65432    -     -   R/WTEB/
>  46532          -   RWTEB/
>  53462       -  -   RWTETW/R/
>  45362          -   RWTEB/
>  34562       3  -   RWTETW/bW/bW/R/
>  54632       2  -   RWTETW/bW/R/
>  26435    -     -   R/WTEB/
>  32465       -      RWTETW/R
>  42635       2  -   RWTETW/bW/R/
>  56234    -     -   R/WTEB/
>  25634          -   RWTEB/
>  63254       -  -   RWTETW/R/
>  26354          -   RWTEB/
>  32654       3  -   RWTETW/bW/bW/R/
>  62534       2  -   RWTETW/bW/R/
>  35426    -  -      R/WTETW/R
>  42356       -  -   RWTETW/R/
> -----------------------------------
> 3 part.
>
> 3840 Watford, 3168 Rutland, Wembley(T),
> 1920 Ealing, 672 Belvedere, Belgrave(b).
>
>
>
>
>
> On 9 August 2017 at 14:40, Roddy Horton <roddy at horton.karoo.co.uk> wrote:
>
>> Don - I must be being slow and missing something. I understand how this
>> would work if every course were called the same, but that's not quite
>> what's going on in these compositions, is it? What am I missing?
>>
>>
>>
>> I think Pitman worked out that you cannot join 60 courses together with
>> bobs only in full courses but of course in spliced you can ring bits of
>> courses and then join blocks in so that all of the tenors together lead
>> heads are rung but, as Eric Morecambe would say, not necessarily in the
>> right order.
>>
>> So although Pitman has 20 courses in each part, they are not all seven
>> leads long.
>>
>> In his 13440 he has some short courses and the missing leads are in the
>> one with 2 or 3 at W.
>>
>>
>>
>> I haven’t written this out to prove my thinking but I must be close if
>> not spot on.
>>
>>
>>
>> Roddy
>>
>> _______________________________________________
>> ringing-theory mailing list
>> ringing-theory at bellringers.org
>> http://lists.ringingworld.co.uk/listinfo/ringing-theory
>>
>>
>
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