I.Fielding at rbht.nhs.uk
Mon May 17 08:32:03 UTC 2010
The split tenors falsness can be easily worked out by working out the false courses with the tenors together and then transposing all 7 other leads of the plain course by those courses. eg 3527486 transposed by 2436578 gives 5372486 then move to where the tenor is in 8ths place gives 7543628.
I attach a simplified explanation based on Segar's method of extraction.
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From: ringing-theory-bounces at bellringers.net [mailto:ringing-theory-bounces at bellringers.net] On Behalf Of Robin Woolley
Sent: 17 May 2010 08:15
To: ringing-theory at bellringers.net
Subject: [r-t] FCHs
I have every sympathy with Alex Tatlow. Most literature is out of print, and
there is never anything on the subject in the Ringing World - as there used
to be when I started ringing.
First - a literature review.
Wilson. No! No! No! No! No! The description is impenetrable and the grouping
letters he uses is his own. Today, the system we use is primarily due to
Roger Baldwin. The book purchased for this purpose would be a waste of
money. He deals with neither singles or split-tenors.
Maurice Hodgson published a pamphlet which is good for the 1st half - but
loses its simplicity about half-way through. Does not deal with
split-tenors. (Out of print).
The best I have found was by John Segar. It does not deal with
split-tenors - but allows FCHs to be extracted with facility. It is so old,
by the way, that it was printed on two pages of Foolscap (!!).
Leary is good, as had been mentioned.
Because of the poor quality of most literature, I wrote a book on it myself.
Anyone who has done some **simple** group theory should be able to cope. A
more algebraic approach enables you to, inter alia, prove that a method
starting x3x has the same initial falseness as one starting 3x3 for example.
By far the best solution is to have it explained by someone face-to-face you
know in your own area who knows how to do it first! Choose someone who
teaches Mathematics at, say A-level, if you can. There must be someone local
to you who can put you in touch with the most appropriate person. It is an
essentially simple topic - which therefore makes it most difficult to
explain in print!
Yours in hope(!)
PS - I might get around to scanning Segar's paper.
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