[r-t] Treble paths

[Graham John]

I like this one where the treble does 8 blows in each place (double the
length of a treble-bob method).

 

12112343432123454567876565678878  (pn xx8x8xxxx8xx8x888x8xx8xxxx8x8xx8).

 

Graham

 

From: ringing-theory-bounces at bellringers.net
[mailto:ringing-theory-bounces at bellringers.net] On Behalf Of Philip Earis
Sent: 14 September 2008 4:13 PM
To: ringing theory
Subject: [r-t] Treble paths

 

Most methods are treble-dominated, with (palindromic) symmetric paths.
Indeed, if you want a treble-path where the treble rings twice in each
position (and there are no jump changes) you only have one option - plain
hunt.

 

How many different conventionally symmetric treble-paths are there on 8
bells where the treble rings 4 times in each place?

 

Here are some possibilities:

 

1212343456567878 (treble-dodging)

1234567887654321 (two lots of plain hunt)

1212334545667878 

1212343455676788

 

Of course, you can replace a dodge with "kent places", and indeed replace
the treble bob at the back with three places (eg Percy's Tea Strainer TP)

 

Are there other interesting treble path examples though?

 

Perhaps you need to remove the requirement for conventional symmetry. This
would give eg the neat glide symmetric

12344321123456788765567887654321

 

What else?

 

And how about treble paths where the treble rings 3, or 5, or 6 times in
each place in a lead?

 

Lots of questions.

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