[r-t] General case of an extent
Robert Bennett
rbennett at woosh.co.nz
Mon Oct 27 00:55:59 UTC 2014
Should always be able to convert an extent of PB on the previous
even stage to one of the next even stage:
12 courses of PB Minor WHW x6.
apply to a 5 course block such as WM x5, where the 6th goes through 5
positions. This makes 60 courses of Major, with the 7th fixed.
apply 3 bobs V, so the 7th moves through 3 positions. This makes 180
courses.
Use 2 singles at the appropriate point for the extent, or use a 6
position shunt instead of the 3 bobs V.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Now for extent of Royal:
Start with 360 courses as above.
Apply a 7 course block, where the 8th moves through 7 positions.
(of the W&M type, with 3 calls affecting 8 as well).
Apply a 4 course block, where the 9th goes through 4 positions
Apply 2 singles, or use an 8 couse block above.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
?Ernest Morris composed an extent of PB maximus which was of this
type, which appears in one of the CC's earlier collections of peals
(as I recollect:
----- Original Message -----
From:ringing-theory at bellringers.net
To:
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Sent:Sun, 26 Oct 2014 14:29:36 +0000
Subject:[r-t] General case of an extent
I was wondering if such a thing has ever been devised as a composition
of an extent which can be extended to arbitrarily many bells. Either
of
a particular method or of methods with certain lead end groups and
clean
proof.
I guess it's not a thing which would ever have much practical purpose
on
more than, say, 10 or 11 bells but I wondered if anyone had ever come
up
with such a thing.
Thanks,
Joe.
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