[r-t] parity

[Roddy Horton]

If someone is really interested in composition I would very strongly 
recommend Wilfrid Wilson's 'Change Ringing' which has chapters on Nature of 
the Rows, defining and detecting False courses and Composition and Proof. 
Enough there to get anyone off the starting blocks.

Roddy
----- Original Message ----- 
From: "Edward W Martin" <martinew at comcast.net>
To: <ringing-theory at bellringers.net>
Sent: Monday, August 08, 2005 7:07 PM
Subject: [r-t] parity


> Hey there Mark
>
> Are you in Sewanee for real???
> cool
>
> The easiest way that I know of finding the parity of a row (without using 
> computers) is
> Write out rounds on as many bells as are involved
> Immediately below this ( several inches away) write out the row in 
> question.
>
> With lines, join up 1 to 1; 2 to 2 etc and when finished, count up how 
> many intersections. If odd then the parity = odd if even then parity = 
> even
> mew
>
> PS we are off to Tennessee (Nashville) for 4 days but I think this is 
> still quite a bike-ride to Sewanee - anyhoo, all the best,
> Come up to DC sometime soon and bring the new Sewanee learners - perhaps a 
> quarter peal weekend or just a general ringing session
>
>
> ----- Original Message ----- 
> From: "Michael Schulte" <michaelfschulte at yahoo.com>
> To: <ringing-theory at bellringers.net>
> Sent: Monday, August 08, 2005 1:42 PM
> Subject: [r-t] Composing spliced treble-dodging major
>
>> Mark each row of the lead with a '+' if the row is of even parity or a 
>> '-' if the row is of odd
>> parity. (Parity is quite simply determined by calculating how many 
>> transpositions - or called
>> changes if you prefer, so long as each call swaps only one pair of 
>> adjacent bells - it would take
>> to get from rounds to the row at which you are looking. If it takes an 
>> odd number of calls, then
>> the parity is odd. If an even number of calls, the parity is even.)
>>
>> ====
>> Mike Schulte
>> Sewanee, Tennessee, USA
>>
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>
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