Paradox on five Bells.

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This Peal of Paradox is to be rang on five bells, wherein are Six-score changes, they are Doubles and Singles; that is—one change double, and another single; in which course they are made to the end of the Peal. Every single change is made in second and thirds places, except only when the whole Hunt leads, and then 'tis made in third and fourths places; but the extream Changes are (also single) and made between the two farthest extream bells from the half Hunt; the whole Hunt lies before the bells, when every extream change is made. Every bell lies four times together before, and four times behind, except only when the extream changes are made behind. There is a whole Hunt, a half Hunt, and three extream bells; the course of the whole Hunt is this, it being before the bells, first it moves up into the second and thirds places, then it makes a dodge with the bell in seconds place, and moves out of the thirds place up into fourths, where it lies alwayes twice, then moves up behind, where it lies four times, and then moves down into fourths place, where having lay twice, it hunts down into seconds place, and makes a dodge with the bell in thirds place, and then moves down before the bells, where having lay twice, it hunts as before; each of the other bells has the same course (in hunting up and down) as the whole Hunt until the whole Hunt leads, at which time every bell that comes into seconds place lies there twice together, unless the extream change is to be made in second and thirds places.

In this following Peal the treble is the whole Hunt, and the second the half Hunt; the extream changes are made, when the half Hunt lies before the extream bells.

I have drawn a Line between the Figures at the extream changes, that next below each Line is the extream; the first extream is Forty changes from the beginning.

This Peal is grounded on the Twenty-four changes Doubles and Singles on four bells. The half Hunt, and three extream bells in this Peal, makes the Twenty four changes in a perfect course. There are four changes made in the Twenty-four every time the whole Hunt leads, which coming before the bells six times in the Six-score, and each time lying there four times together, makes six times four changes, which is Twenty four. 'Tis easily made out, if you take every change that is made when the whole Hunt is before the bells in the Six-score before, and set the changes down by themselves (leaving out the treble) where you will find, that the second, third, fourth and fifth, make the Twenty-four changes Doubles and Singles, in a perfect course; second is the Hunt, and the extreams are made when the Hunt is before.

Paradox may be rang Six-score several wayes. With one whole Hunt, and half Hunt, it may be rang six wayes, in three of which the whole Hunt is to be hunted up; and in the other three wayes it is to be hunted down, in which six wayes the extream changes are to be made by the same Rules, and in the same manner, as I shewed before in the Six-score Doubles and Singles on five bells; so that with the twenty Hunts, it may be prick't or rang twenty times six wayes, which makes Six-score.

This Peal may be prick't Six-score wayes more, by making the extreams when the whole Hunt lies behind the bells, but that being never practised, I will say no more of it. I have here set down some general Rules for beginning the several Peals of Paradox by the former course (i.e.) in making the extreams when the whole Hunt is before the bells.

In hunting the treble up, the first change is double between the four first bells, thus.—

1 2 3 4 5
2 1 4 3 5

In hunting the treble down, the first change is single in third and fourths places

(thus.— 1 2 3 4 5
1 2 4 3 5 )

unless the half Hunt lies so, that the extreams may be made.

Second up, the first change is single in second and thirds places, thus.—

1 2 3 4 5
1 3 2 4 5

Second down, the first change is double between the four first bells.

Third up, the first change is double between the four first bells.

Third down, the first change is single in second and thirds places.

Fourth up, the first change is double between the four hindmost bells, thus.—

1 2 3 4 5
1 3 2 5 4

Fourth down, the first change is double between the four first bells.

Fifth up, the first change is single in second and thirds places.

Fifth down, the first change is double between the four hindmost bells.

If you observe these Rules aright, together with my former directions, you may with much ease prick down any Peal of Paradox.

                                                                                                                                                                                                                                                                                                           

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