[r-t] Subtle link methods

[Philip Earis]

Simon Humphrey:
> AIUI 3-lead-course Royal methods are no longer banned...

This highlights a related feature that I've come across twice recently.

For multi-part maximus, a cyclic construction has many musical and aesthetic advantages.  Two commonly-used ways of getting to a cyclic leadend are with a link method, or with a mega-tittums construction.

Such link methods typically take you to a reverse roll-up at the leadend (ie handstroke lead). And because the row eg 1TE098765432 is a "regular" leadend row (it appears in the plain course of "regular" methods), each reverse roll-up cycle of this will appear in a different cyclic part.

Now, previously rung link methods have usually (invariably?) been short, designed to get to the desired row efficiently and elegantly, incorporating music where possible. Two leads of Slink Maximus (&56.23,1T) take you from rounds to 15432TE09876 in 7 changes, for example. 

However, the last two peals I've rung in have both featured link methods which are "conventional" full-length surprise methods, which delicately, skilfully and musically exploit their increased length.


Firstly, in a peal of maximus composed by DJP we rang last month (http://bb.ringingworld.co.uk/view.php?id=183296) the method Velodrome Differential Surprise Maximus was used as a very effective link:
 
x34x4x2.5.30.2x70.5.6x90.67xEx7x4.36.5, 12 = 164523ET9078
http://ringing.org/main/pages/method?match=velodrome&name-query=Search

Velodrome is formally a (1,1,2,2,5) differential, which uses an Avon-esque overwork to pack lots of music into the relevant lead.


More recently, on Sunday we rang a peal of spliced 14 (http://bb.ringingworld.co.uk/view.php?id=185904), composed by John Warboys. Here John uses a very attractive link method Aquarion Surprise to get into a different part:

Aquarion: x5Bx14.5Bx5B.36.14x7B.58.16x9B.70.18xEB.9T.10x10.EBx10.7T.1B, 1 = 1ET90785634B2A
http://ringing.org/main/pages/method?notation=x5Bx14.5Bx5B.36.14x7B.58.16x9B.70.18xEB.9T.10x10.EBx10.7T.1B+&pn-query=Display&stage=14&le=1

Aquarion is not a differential - all the bells follow the same line (not that this is so meaningful when you just ring one lead at a time).  However, Aquarion's especially beautiful property is that it is essentially pure Bristol 14, differing only by one change (it has a 7T just before the half-lead where Bristol would have a "x").

Both Aquarion and Velodrome work very nicely, and throw up plenty of ideas for related concepts along similar lines.





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