[r-t] Principles
King, Peter R
peter.king at imperial.ac.uk
Mon Jul 4 11:42:14 UTC 2011
But would it be possible to construct a principle such that bells 2 3 6 7 do in the second half lead what bells 1 4 5 8 did in the first half, and vice versa, so that all the bells do the same work, although the starting point for half the bells is the half lead of the others. I have no idea if a) that is possible or b) that is in the strict spirit of ALL the bells doing the same work. Actually the example -18-18 is just such an example if you were to write it out as a blue line the start points for 2367 are at the half leads of 1458.
From: ringing-theory-bounces at bellringers.net [mailto:ringing-theory-bounces at bellringers.net] On Behalf Of Simon Gay
Sent: 04 July 2011 12:27
To: ringing-theory at bellringers.net
Subject: Re: [r-t] Principles
I interpreted Don's question to mean that *all* the bells should do the same work. This wouldn't be true for an arbitrary principle (actually it would be a differential) with lead end 46281735.
For example: 34x34.18.56x56.18
The work of 1,4,5,8 is not the same as the work of 2,3,6,7.
Simon
On 04/07/2011 12:11, King, Peter R wrote:
Since 8 is not a prime number any principle with lead end of leads 2, 4, 6 of original would also have this property. Also, unlike the example of x18x18 it wouldn't be more natural to describe in some other way (ie plain hunt)
From: ringing-theory-bounces at bellringers.net<mailto:ringing-theory-bounces at bellringers.net> [mailto:ringing-theory-bounces at bellringers.net] On Behalf Of Simon Gay
Sent: 04 July 2011 10:26
To: ringing-theory at bellringers.net<mailto:ringing-theory at bellringers.net>
Subject: [r-t] Principles
Don Morrison asked:
---------------
This does raise a question, though: is it possible to have a method
with no hunt bell(s) where all the bells do the same work, but there
are not the same number of leads as bells? The Council's definitions
appear to be carefully addressing such a case, but it's not clear to
me that it can arise in practice. Can someone provide an example of
such a method?
---------------
What about taking two leads of Original to be a single lead of a new principle? For example, on 8, we get x18x18 as the place notation of a lead; the course consists of 4 leads; there are no hunt bells; and all the bells do the same work, i.e. plain hunting on 8.
I suppose this would be a differential rather than a principle.
Simon Gay
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The University of Glasgow, charity number SC004401
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The University of Glasgow, charity number SC004401
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