[r-t] Compressed Methods

[Richard Weeks]

My first post. Sorry if the idea is old hat, and please excuse technical
shortcomings as necessary...

I've been looking at an automatic way of deriving a class of treble-hunt
methods from their treble-dodging "parents". It simply consists of halving the
place notation by omitting every alternate element.

Thus for Cambridge[1]:

          Cambridge Surprise Major -> "Half Cambridge Bob Major"
     -38-14-1258-36-14-58-16-78,12 -> 38.14.1258.36.14.58.16.78,12

In this instance, the process produces a method with a true, seven-lead, plain
course, albeit no longer right-place or with Plain-Bob leadheads. The scheme
extends to, e.g., Maximus[2] in the expected way. And Cambridge reduces
logically to Minor, too.

Yorkshire[3] works similarly. The Cambridge front work - a minimal 3-blow
offering - shifts conventionally to the next lead, and a glimmer of the
triple-dodge appears (as a single dodge). Things are much the same for
Pudsey[4].

These contractions perhaps retains something of the essence of their parent
methods. As, it could be argued, happens with Bristol[5,6,7], which keeps
Plain-Bob leadheads and its double nature, The extension path Major -> Royal
-> Maximus is very regular, with even the start order preserved:

      8:   2 3 5        7  8  6        4
     10:   2 3 5 6      9 10  8      7 4
     12:   2 3 5 6 8   11 12 10    9 7 4

Cornwall[8] seems to work particularly well, with a clear provenance.
Rutland[9] looks quite interesting, too.

Belfast, Cassiobury, Glasgow, Lessness, Lincolnshire and Superlative aren't
considered here. They all produce true plain courses - but not seven-lead
ones.

London[10] yields something particularly lively in terms of dodging, though
with not much of a family resemblance.

Finally here, moving away from Surprise, Kent Treble Bob[11] provides what
must be the least inspiring new method, although the front work lives up to
its name, and is certainly distinctive. But then, a transformation like

     ... 1n-12-1n-12-1n ... -> ... 1n.12.1n.12.1n ...

is unlikely to produce a gem.

Perhaps there are gems to be discovered, though, via this "existing method in
-> possibly new method out" automatic process?

It's tempting to say I've only scraped the surface of this resource, but it
might more realistically be considered as scraping the barrel. Nevertheless,
if one is free to define merit simply as looking somewhat like the parent
method, then I think that, at the Major stage, the Bristol, Cornwall and
Rutland productions might have something to offer.


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[1]  Half Cambridge Bob Major:   https://complib.org/method/31702?accessKey=c9de6309368b40a1eb6d3955fd1d2fa2c6ada5b4
[2]  Half Cambridge Bob Maximus: https://complib.org/method/31703?accessKey=32f49a106a484014ba647cae20bf84c641c45b95
[3]  Half Yorkshire Bob Major:   https://complib.org/method/31713?accessKey=f0bfb6deeb56f4052bb64c22b85f01a6f359182d
[4]  Half Pudsey Bob Major:      https://complib.org/method/31720?accessKey=959c49ddf0a022b63f20ae9b673b7125abf13a86
[5]  Half Bristol Bob Major:     https://complib.org/method/31709?accessKey=d9601548122980b9ce15dfc5d8261757a3f8fb23
[6]  Half Bristol Bob Royal:     https://complib.org/method/31721?accessKey=d4c3193c74e0eb9eeba33089806ac8f3a7449dd5
[7]  Half Bristol Bob Maximus:   https://complib.org/method/31722?accessKey=5ca31b27b87a5e0b37cc6c235a1e25a1f4aeea80
[8]  Half Cornwall Bob Major:    https://complib.org/method/31707?accessKey=fcf59ee29f8fe72fbc12e7c722e3238dbda216c2
[9]  Half Rutland Bob Major:     https://complib.org/method/31706?accessKey=442628be794b065690c1b9b667503474099ae900
[10] Half London Bob Major:      https://complib.org/method/31710?accessKey=d9a70ddc71a06235d7629c56d3d531de479254eb
[11] Half Kent Place Major:      https://complib.org/method/31708?accessKey=6c4b555e6b5c089dc464ee409a2ef8fb96f0d762