[r-t] Spliced Courses

[King, Peter R]

As others have answered the simple answer is no (not for a round block). There are of, course, plenty of 6 lead courses which can give you all the calling positions. For example HFHGBA includes the WBMH leads (if you use 4ths place bobs throughout) which are useful. The only lead head it leaves out is 16482735.

Peter

> -----Original Message-----
> From: ringing-theory-bounces at bellringers.net 
> [mailto:ringing-theory-bounces at bellringers.net] On Behalf Of 
> Robin Woolley
> Sent: 13 March 2009 08:37
> To: ringing-theory at bellringers.net
> Subject: [r-t] Spliced Courses
> 
> It is possible to obtain a spliced course of seconds place 
> methods which 
> include every plain course lead head and end. In the case of 
> Major, there 
> are 714 possible courses which, after removal of reversals 
> and rotations, 
> comes to (I think) 72 distinct cases. An example of this 
> appears in the 
> current diary at p64 - PLLPLSL or, in lead-head code, AEEAEFE.
> 
> 
> 
> It is, of course, easy to re-write this for 8ths place 
> methods and there are 
> a similar number.
> 
> 
> 
> It is possible, in certain cases, to include an 8ths place 
> method as a 
> bob-lead and such an example is DFCFCAK where K is, of 
> course, DNCB. (I 
> think it would be cheating to use a 4ths place bob in any of these.)
> 
> 
> 
> Is it possible to generate any 'mixed' *plain* courses, i.e., 
> including 2nd 
> and 8ths place methods without using any calls? (I don't 
> think so, but would 
> be glad of a proof if any - especially a counter example.)
> 
> 
> 
> Here's an example of a clean plain course using all of the 
> 2nds place plain 
> methods in the diary at pp59-61: ACAEFDA or PGPLSAP - there 
> are 5 more 
> rotations/reversals of this course which are cps also. One 
> for the 2nds 
> place surprise methods (pp 66-74) might be  BBFCFCF
> 
> 
> 
> 
> 
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