[r-t] Odd Start Grandsire Doubles
Mark Davies
mark at snowtiger.net
Mon Mar 6 08:34:14 UTC 2017
Robin writes,
> It seems to be true that - all 'plain' starts have an 'single' start
> 'dual' ending with the 'opposite' call
> (here's one: 91 bpbpsbpps)
> BUT
> there are some touches starting with a 'single' which have a 'plain' ending.
> (here's one: 61 ppsbpp)
Ah no sorry I'm with you. There is an asymmetry, because if we start
with a single, we're only ringing half of it - the 3rd's place as the
treble comes to lead is missed. However if we end with a single, the
full thing is rung.
So, if we start with a plain and end with a single, there is dual
calling, starting with a single and ending with a bob:
p(bpbpsbpp)s
s(bpbpsbpp)b
However if we start with a single and end with a plain, there is no
reversal - we would need a new call with place notation 5.123.
Therefore there are three sets of solutions, depending on the starting
and finishing call:
1. P->S
2. S->B
3. S->P
There are equal numbers of touches in the first two sets.
Note that you might equally well say that touches start with a bob or plain.
MBD
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