[r-t] Treble place paths

[Philip Earis]

Doubles seems to be the only stage where there has been lots of experimentation with different treble place paths. I think there's a lot of mileage in playing around with worthwhile new paths on higher numbers.

I'm especially keen on treble paths (not methods) which have rotational symmetry - ie plain hunt, treble-dodging etc have this property, whereas Percy's Tea Strainer does not.

On 5 bells, there are some real gems, such as Brampford Speke, where the plain course generates the extent:
Brampford Speke &3.145.1.3.125.3.1.5.3.145.3.125.5.3. 5, 125

I also like the treble path (actually the path of all bells) in this "unrung" method, which is closely related to Ockham doubles

&3.5.3.1.3.5.3.1.3.5         (depending on taste you might describe it as Saturn Doubles, 3.5.3.1)

There was a bit of discussion on here in September 2008 about major treble paths where the treble rings 4 times in each place in the lead ( see eg http://www.bellringers.net/pipermail/ringing-theory_bellringers.net/2008-September/002751.html). Graham John also mooted a major path where the treble does 8 blows in each place.

When I saw him recently Ander Holroyd mooted another attractive new elegant "pointy" path where the treble rings 8 blows in each place. This is especially nice, as it works on 6 bells and can be logically extended to any even stage:

121123432123456543456656

Suggestions of how this (or the major etc equivalents) can be best exploited would be very welcome.


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