[r-t] New doubles extents

[Richard Smith]

Philip Earis wrote:

> I see from Campanophile that an extent of 'Awaiting Name' 
> Treble Place Doubles has recently been rung 
> (http://www.campanophile.co.uk/view.aspx?90052)
>
> According to the footnote,
>
> "This method rung for the first time:
> 3.123.1.123.5.123.1.123.5.123.1.123.5.123.1.123.5.123.1.123 lh12534
>
> Grandsire, based on Tendrings instead of Original. This 
> method does appear in Tintinalogia, however it has never 
> been named"

That last sentence is a bit disingenuous.  It's a bit like 
ringing the standard 120 of Grandsire Doubles but choosing 
to describe it as six leads of a method with a 20 change 
lead, and then publishing it with a footnote saying "this 
method does appear in Tintinnalogia, however it has never 
been named".

Assuming the composition is what you speculate it is, and 
I'm sure you're right, then what they've rung is precisely 
Tendring, and it's published in Tintinnalogia under the 
title 'Tendring's Six-score on five Bells'.

> [...] It seems no method with such a treble path is 
> recorded on the CC methods committee site - can this be 
> correct?  Does anything like this appear in Tintinalogia 
> etc?

It's because modern practice seems to be to consider it a 
principle with four changes per division, rather than a 
treble place method with twenty changes per lead.  Although 
reading Tintinnalogia, it's pretty clear that Duckworth 
considered the method to be a padded version of Grandsire. 
He even says (top of p73) "This Peal was made out of 
Grandsire on five bells, the Bob changes in this, being the 
same with those in Grandsire, and made by the same Rule."

In many ways it is similar to Crambo.  In Crambo, you take a 
in-course half-extent (Stedman) and pad it such that between 
each pair of adjacent rows you introduce an out-of-course 
row.  In Tendring, you take an in-course half-extent 
(Grandsire) and pad it such that between alternate pairs of 
ajacent rows you introduce a pair of out-of-coures rows.

There's not just one way of doing this.  In the standard 60 
of Grandsire, every second change is a 1.  This means you 
can swap each of these 1 place notations for a 123.1.123 
block (as in Tintinnalogia's extent of Tendring), but you 
can also do the same with a 145.1.145 block.  Duckworth 
doesn't do precisely this in Tintinnalogia, however Paradox 
(pp73-8) can be thought of as variation on this theme.

You can also do it to some other in-course half-extents, for 
example, if you can take Stedman and 'Tendringise' it, you 
end up with Orpheus.  This works because every second change 
is either a 1 or 3.  By replacing these with 123.1.123 and 
123.3.123 respectively, you get Orpheus.  The rule seems to 
be that for all possible changes that appear in one of the 
slots, you must be able to take the change, add a pair of 
adjacent places and end up with the same row.  Thus, 1+23 
gives 123, as does 3+12.

Something similar appears not to work in Carter because all 
three possible double changes appear in both 'slots', and 
there is no single change which contains places in 1, 3 and 
5.

   Carter Doubles:

   a b a b a b a b a b a b
   5.3.1.3.5.1.3.5.3.5.3.1

RAS