[r-t] ringing the Mathieu group

[Wyld Family e-mail]

Eddie

I am sorry I did not make myself clear.  I intended to suggest using the 18 course block only once and adding simple courses of original for the rest of the composition.  I think that could work.

Colin
  ----- Original Message ----- 
  From: edward martin 
  To: ringing-theory at bellringers.net 
  Sent: Tuesday, May 03, 2011 7:57 AM
  Subject: Re: [r-t] ringing the Mathieu group





  On 30 April 2011 23:29, Wyld Family e-mail <wyld at waitrose.com> wrote:


    I have two suggestions for the caters problem.  Both are based on organising the required changes in to courses of original and linking them together using 5ths place calls (bobs).  In the first I suggest joining, alternately, forward and backward hunting courses with a 5ths place i.e. 9.1.9.1.9.1.9.1.9.1.9.1.9.1.9.1.9.5.1.9.1.9.1.9.1.9.1.9.1.9.1.9.1.9.1.5 repeated 8 times.  This joins together 18 courses leaving an even number to be introduced by Q sets of 5ths place bobs.  There are 18 Q sets that can not be bobbed having been used in the basic block but that leaves at least 8 routes into the courses affected.


  I don't think this will work
  My reasoning is that because any block of Plain Hunt could be expressed in either its coursing order or the reverse of its coursing order then the above two blocks could be expressed as having c.o.
  6-8-9-7-5-3-1-2-4 and  6-8-9-7-4-5-3-1-2
  This suggests the need for blocks with c.o.
  6-8-9-7-2-4-5-3-1 and 6-8-9-7-1-2-4-5-3
  and 
  6-8-9-7-3-1-2-4-5 and 6-8-9-7-5-3-1-2-4
  In which case the first and third blocks will repeat and the true extent cannot be set out in mutually exclusive blocks of this structure.


  Eddie Martin
   

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