[r-t] Principles

Philip Saddleton pabs at cantab.net
Tue Jul 5 20:29:53 UTC 2011


Josy Shewell Brockway said  on 05/07/2011 00:16:
> It is not possible to construct a method without a hunt bell in which
> all bells do the same work but the number of leads is different from the
> number of bells.

Yes it is - Simon already did. You could argue that the Plain Course is 
exactly the same as Original, but there is nothing in the Decisions to 
say that a lead of a method has to be the shortest repeated block (see 
Magenta Little Place Maximus), or that two methods cannot have the same 
Plain Course. You could play the same trick with any principle on a 
non-prime number of bells.

In any case there are examples where this is not the case, e.g. 
&9.1.789.1.9.3.9.1.789.1.9.1.9.1.789.1.9.3,1

> Because all the bells do the same work, each bell must find itself in
> every place at at least one lead-head.

Not true.

> I don't know why the Central Council definition is phrased in the way it
> is.

Both conditions are necessary - it is also possible to have a method 
where the number of leads is the same as the number of working bells, 
but they do not all do the same work in the plain course, e.g.
&38-,29T

PABS


-------------- next part --------------
A non-text attachment was scrubbed...
Name: Unnamed Differential Caters.pdf
Type: application/pdf
Size: 12952 bytes
Desc: not available
URL: <http://bellringers.net/pipermail/ringing-theory/attachments/20110705/7b5b64f2/attachment-0002.pdf>
-------------- next part --------------
A non-text attachment was scrubbed...
Name: Unnamed Differential Maximus.pdf
Type: application/pdf
Size: 9460 bytes
Desc: not available
URL: <http://bellringers.net/pipermail/ringing-theory/attachments/20110705/7b5b64f2/attachment-0003.pdf>


More information about the ringing-theory mailing list