Old Doubles and Singles. 1 and 2.

One change is double, the next single, and so by turns. The treble hath a direct hunting course, as in plain changes. Every double change is on the four first bells, and the treble is one of the two bells that makes every single change, except when it leads, and then the single is in the 3d and 4th places; but when 2 lies next the treble, then the single is behind, which is call’d extream. Every time the treble leaves leading, the two first bells continue slow dodging, until the treble comes down and displaceth them. And when the treble moves down out of the 5th place, the bell that comes into it lies still there, untill the treble comes thither again, except when the extream change is made behind. Every bell lies twice together in the 3d and 4th places, except when the treble leads, and also when it hinders them in hunting.

1234551432
214351534212543
2413515432Extre.
4231512534
4235113254
245311352413425
2451313245
4215312435
41253Extre.14532
145231245314352
14253
415231532415243
451231523415423
54213
542311345212354
4532113542Extre.
453121423512345
5413214325

This old peal may be rung by a new course, which differs from the former only in the single changes that are made every time the whole-hunt leads, viz. every single may be made either in the 2d and 3d, or 4th and 5th places. If they are made in the 2d and 3d, then the extreams must be made when the half-hunt lies behind; but if they are made in the 4th and 5th places, then the extreams must be made when the half-hunt lies next the whole-hunt, the extreams being always made in the 3d and 4th places.

London Paradox. 1 and 2.

One change is double, the next single, and so by turns. The motion of the treble is after this manner; in hunting up, first, it makes a dodg in the 2d and 3d places, then it lies twice in the 4th place, and four times behind; in which manner also it hunts down again, and then leads four times. The rest of the bells have a like course and motion with that of the treble, untill the treble leads. Now ’tis observable, that every single change is made in the 2d and 3d places until the treble leads, and then in the 3d and 4th places; but when 2 lies next the treble, then an extream behind. The changes at the leadings of thewhole-hunt have an absolute dependency upon the course of the twenty four changes, doubles and singles upon four bells; and the extreams to be made as many ways as in that peal, which are here guided by the motion of the half-hunt.

12345Extre.
2143512453
24135
2145314235
2415314325
4251313452
4521313542
42531
4523115324
5432115234
5342112543
54312Extre.
5341212534
35142
3154215243
3512415423
3152414532
1325414352
13524
1534213425
1543213245
12354
14523Extre.
1425312345
12435

Phœnix 5 and 4.

One change is double, the next single, and so by turns. Every bell leads twice, and lies behind four times. Every single is made in the 2d and 3d places, until the 5th comes behind, and then in the 3d and 4th places; but when the 4th leads, (the 5th being behind) the single is in the 2d and 3d places.

1234554123
2135451423
2315415432
3251414532
3521441352
5324143152
5234134125
2543134215
2453143125
4251341325
45213