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Papanui Treble Place Doubles

Papanui Treble Place Doubles and allied methods

This method was invented (by Robert H. Bennett, the late R.G.T. Bennett, and myself) in 1987 and rung at St Paul's, Papanui (in Christchurch, New Zealand). It has a hunt and half-hunt, and three working bells. A lead is forty changes, so the plain course is the extent. See the entry in the methods.org.uk collection for the online listing in place notation.

St Paul's Papanui Anglican church
St Paul's Papanui. (Anglican) A wooden church, built in 1877. Wooden construction is common in older New Zealand churches. Photo: Michal Klajban. Creative Commons Attribution-Share Alike 4.0 International licence.

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2 1 3 5 4
2 3 1 4 5
3 2 4 1 5
3 4 2 5 1
4 3 5 2 1
4 5 3 1 2
5 4 1 3 2
5 1 4 2 3
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2 1 5 4 3
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4 5 2 3 1
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5 4 2 1 3
5 4 2 3 1
4 5 3 2 1
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3 1 5 4 2
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5 4 1 2 3
4 5 2 1 3
4 2 5 3 1
2 4 3 5 1
2 3 4 1 5
3 2 1 4 5
3 1 2 5 4
1 3 2 4 5

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Papanui Treble Place Doubles, full changes

The particular interest of the method, which we set out in an article in The Ringing World, was the use of a diagram method of creating and checking methods of this type. It is easy to see that in each lead the hunt and half-hunt must appear in each combination of positions exactly twice, and any combination of hunt and half-hunt which satisfies this will produce a number of methods. Hunt/half-hunt combinations can be generated by the use of a diagram:

Diagram of hunt and half-hunt in Papanui Doubles

A continuous line is drawn from any square to any adjacent square until every square has been passed through. A move directly adjacent to the blocked-out diagonal is not possible as it would mean (for example)
x12xx
12xxx
which is not a possible change.

This generates half a lead. The hunt and half-hunt then both make a place and reverse their paths symmetrically. The working bells are then added. Note that some lines do not create new methods as they describe compositions of plain methods.

In Papanui, the treble returns to the front during the lead. However, combinations are possible in which this does not happen.

Example of grid diagram for Papanui-type method in which treble does not return to front during lead

A related type

Another, related type of method, can be constructed with a plain course of 60 changes, with two hunts and a lead of 20 changes. (We did not ring any methods of this type.) The two hunts are mapped by the grid diagram. It is possible for the lead to be symmetrical, but in this case the hunts will not be individually symmetrical. An extent can be produced by two calls 60 changes apart: either a single where a double change was expected or a double change where a single change was expected. I.e., the in-course/out-of-course parity must be reversed. The calls should not affect either hunt.

Diagram for the construction of the type with two hunts and a 20-change lead

Notes

Original authors:

  • Bruce Bennett: Member of the Christchurch Cathedral Society of Bellringers
  • Robert H. Bennett: Member of the Ancient Society of College Youths; ringer at St Matthew-in-the-City, Auckland
  • Robert (Bob) G. T. Bennett (1930–2020): Member of the Ancient Society of College Youths; former Master of the Christchurch Cathedral Society of Bellringers (Christchurch, New Zealand)
  • Papanui

    Papanui is now a suburb of Christchurch. The name is Māori and literally means "big plain". St Paul's (Anglican) is a notable wooden church, with a ring of eight (originally six) bells. Since the destruction of Christchurch Cathedral in an earthquake, it is the only functioning ringing tower in Christchurch.

    The path of the hunt:

    Papanui Doubles was originally designed to meet the old rules, which required the path of the hunt (though not the half hunt) to be that of a principle. (The principle is in fact true, though we are not aware of any simple extent.) However, most paths generated by the diagram will not be of this type.

    Note on the figures:

    The diagrams on this page are scanned copies of those drafted for the Methods Committee of the Central Council in 1987.

    Papanui Surprise Major

    There is also a Papanui Surpise Major, of which a peal was rung at Papanui in 2000.


    Copyright © 2021. Not to be reproduced without permission. ||  Sunday, 24 October 2021

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