[r-t] Falseness in the plain course
Simon.Gay at glasgow.ac.uk
Fri Oct 21 19:37:35 UTC 2016
You're right, I first restricted attention to the standard 41, then
claimed that the frontworks in the standard 41 are the only possible
ones. That was the wrong way around.
On 21/10/2016 19:15, pje24 at cantab.net wrote:
> Simon Gay has posted an interesting blog piece about ringing surprise
> minor in hand:
> I'd like to explore one aspect further. Simon introduces the "4 possible
> [surprise] backworks" (Norwich, Cambridge, London, Carlisle), as well as
> "6 possible right-place frontworks" (though for some reason he doesn't
> include x34x56 or x12x56 or x12x16). Simon then says:
> "In principle, any of these frontworks could be combined with any of the
> 7 backworks (two versions of each backwork, except London) to give a
> total of 42 methods. In practice, there are various ways in which some
> of these combinations might be undesirable:
> - The method might be false in the plain course.
> - The method might come round after fewer than 5 leads.
> - The method might not have Plain Bob lead ends."
> My first question is: when does the first of these (false in the plain
> course) actually occur, ie when bolting a symmetric minor overwork onto
> a symmetric minor underwork?
> More generally, what are the conditions that will lead to falseness in
> the plain course in a symmetric method with n-1 leads in the plain
> course? Or asymmetric (such as Richard's False Course minor,
> x4x3x3x23x4x1, for which a true 720 is possible)?
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