[r-t] Grandsire Triples (was old methods)
pabs at cantab.net
Thu Jul 17 17:32:48 UTC 2008
edward martin wrote:
> How's this:
> The 5040 can be set out in 60 blocks where every lead is a common
> single. The problem then is to link these 60 blocks without using bobs
> or any other device other than plain leads.
> Because plain leads exist in sets of 5, it seems to me that we are
> once again up against the old q-set difficulty of adding an even
> number to an odd wch can never result in the total being even.
If we replace a single with a plain lead we have to replace a further
four because of the q-set involving the 'bob' part. If rounds occurs at
a plain lead head, then so must
But we also deal with the 'single'. Either 235476 or 324567 also has to
be a plain lh. At first sight either could be, but choosing 324567
means we can't plain any of the q-set containing 235476 - this forces
the choice for the other four singles, and we soon end up with every
possible lh. Thus 235476 and the rest of its 'bob' q-set are plain lhs:
Thus q-sets have 10 elements.
However, each q-set we plain rules out another five.
> I think it brings me back to my old gripe about 'New Grandsire' For,
> as I recall (& I don't recall things too well) when I was looking for
> as many all singles as poss, I came up against blocks which cannot be
> rung to Grandsire (start with 7ths and end with 3rds) but would be ok
> if we called this 'New Grandsire'.
If we plain just one q-set, we join ten blocks together, with every 6th
lead being a plain lead of alternately Grandsire and 'New Grandsire'. It
may be possible to get a peal length this way, but I am sure that with
the limited room to manoeuvre one where all the plain leads of the same
type would not be.
> But, on the insistance of the current Methods Committee Chairman, 'New
> Grandsire' is really Grandsire.
Look at the blue line.
> Having initially called "Go Grandsire", when the conducter came to the
> (New Grandsire) biits, what would he call other than an expletive?
A bob followed by an omit two blows later?
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