[r-t] Regular Minor Methods with a Plain Course Extent

[Roddy Horton]

Chris Munday has being performing some searches for Minor Principles where is a course is an extent. I know he is still working on this but there is a significant part of his work on my website

www.rrhorton.net

Roddy
  ----- Original Message ----- 
  From: Graham John 
  To: ringing-theory at bellringers.net 
  Sent: Saturday, September 18, 2010 11:08 PM
  Subject: [r-t] Regular Minor Methods with a Plain Course Extent


  There is only one example of a Minor method in the collection where the Plain Course is the extent, namely I Can't Believe It's Not Plain Bob Treble Place Minor.

   

  I don't know what research has previously been done in this area, so I have just written a program to generate such methods. There seem to be rather a lot of them, even given the constraints I have imposed (Plain Bob lead ends, no more than two consecutive blows in one place, no single change notations, no 56 apart from the half lead). After 12 hours running it hasn't got far through the search, although I have found around 750,000 examples.

   

  The question is - What makes a good method of this type, and what further constraints are needed to find them quickly? 

   

  I Can't Believe It's Not Plain Bob Treble Place Minor is clearly a rather contrived example, which can be rung as Plain Bob. For such methods to be worth ringing given the very long course, I think they need memorable distinctive features, both for the inside path and the treble path. The  treble path should probably also have a simpler and more regular structure than the inside bells.  

   

  Has anyone investigated this and found a good example?

   

  As a taster, below is a random method from the search.

   

  http://alturl.com/tt76d

   

  Graham

   

   



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