[r-t] A practical (well, sort of) extension question

[Robert Bennett]

With non PB lead head methods, is it a requirement that they extend to
the same family of lead heads at the higher stage?
There are many more families of lead heads available on larger
numbers.
Of course, if the number of working bells is not prime (Royal, 16,
Doubles, Triples) then many of the leads are not available because
they do not circulate correctly.
Do the existing extension rules allow for this?

----- Original Message -----
From: ringing-theory at bellringers.net
To:<ringing-theory at bellringers.net>
Cc:
Sent:Fri, 1 May 2015 23:18:53 -0400
Subject:Re: [r-t] A practical (well, sort of) extension question

 On Fri, May 1, 2015 at 10:46 PM, Philip Earis <pje24 at cantab.net>
wrote:
 > PABS:
 > > I would venture that most rung methods do not extend, because
most rung
 > > methods have plain bob lead heads, and G(B)5 requires that the
extension
 > > must also...
 >
 > Aaargh! This is a seriously slavish, back-to-front way of looking
at
 > things.
 >
 > The Decisions are a human-written framework produced by individuals
 > (flawed, as we all are) according to their peculiar worldview. They
 > are not some axiomatically correct divine truth.

 In PABS defense, I did ask "which, if any, of the following
 asymmetric, non-PB-leadend treble dodging major methods have
 extensions to a higher stage (not necessarily royal)? CC-algorithm or
 the more fecund PABS-algorithm, as you choose". I think that was
 asking a question for which G(B)5 would disqualify potential
 extensions. That is, I was spcifically asking about what happens when
 the algorithms currently under discussion are applied, not what is a
 suitable extension (whatever that means, if anything).

 And I thank him for his clear answer, regarding what his informed
 intuition tells him.

 -- 
 Don Morrison <dfm at ringing.org>
 "When it comes to rare probabilities, our mind is not designed to get
 things quite right. For the residents of a planet that may be exposed
 to events on one has yet experienced, this is not good news."
 -- Daniel Kahneman, _Thinking, Fast and Slow_

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