In the Sevenscore and four, the treble and tenor are both hunts; and 2345 do make the twenty four changes, 2 being the hunt therein. The treble and tenor do both hunt at one and the same time, the one up, and the other down, crossing each others course; and when one of them leads, the other always lies behind; at which time one of the twenty four changes must be made. The extream changes in this peal are made in the same manner as before I have shewed upon four bells. The treble hunts up, and the tenor down (a). One of the twenty four changes is made (b). The treble hunts down, and the tenor up (c). Another of the twenty four changes is made (d). The treble hunts up, and the tenor down (e), &c. which method must be observed to the end.

123456
a 213465
231645
236145
263415
623451
b 632451
c 362415
326145
321645
312465
132456
d 134256
e 314265
341625
346125
364215
634251
f 634521
&c.

In the sixscore changes there is a whole-hunt, a half-hunt, and four extream bells. The half-hunt and four extream bells do make the twenty changes in the same manner as the twenty changes were made upon five bells with one hunt. page [61]. The whole hunt hath a continual motion through the other five notes, and every time it leads and lies behind them, one of the twenty changes must then be made. In this example, treble is the whole-hunt, 2 the half-hunt, and 3456 extream bells; therefore 23456 must make the twenty changes wherein 2 is the hunt, and every time it lies either before the four extream bells, or behind them, an extream change must then be made, which here shall be betwixt the two farthest extream bells from the half-hunt. The treble hunts up (a). One of the twenty changes must now be made, therefore 2 being the hunt in it, must begin its course through the extream bells (b). The treble hunts down (c); The half-hunt proceeds forward (d); the treble hunts up (e); the half-hunt proceeds forward in its course (f); the treble hunts down (g); the 2 proceeds forward (h); the treble hunts up (i); the half-hunt should now proceed forward, but its course through the extream bells being finished, therefore an extream change must be made betwixt 3.4, which are the two farthest extream bells from it, (k). The treble must hunt down (l); the half-hunt must now go its course again through the extream bells, and first it moves down under the 6th, (m) &c. which method must be continued to the end. Any note may be made a whole hunt at pleasure, or a half-hunt also. And the extream changes may be made betwixt the two nearest extream notes to the half-hunt; but withall observing to make all the extreams in one peal alike. There are four extream changes in each peal, and thirty changes distance from one to another.

123456
a 213456
231456
234156
234516
234561
b 324561
c 324516
324156
321456
312456
132456
d 134256
e 314256
341256
342156
342516
342561
f 345261
g 345216
345126
341526
314526
134526
h 134562
i 314562
341562
345162
345612
345621
k 435621
l 435612
435162
431562
413562
143562
m 143526
&c.

The method of the Seven hundred and twenty, hath an absolute dependency upon the method of the Sixscore changes on five bells; for five of the notes are to make the sixscore changes, and the sixth note hunts continually through them, and every time it leads or lies behind them, one of the Sixscore changes must then be made. The method of the Seven hundred and Twenty is in effect the same with that of the Sixscore: for as the Sixscore comprehended the Twenty four changes on four, and the Six on three; so likewise the Seven hundred and twenty comprehend the Sixscore changes on five, the Twenty four changes on four, and the Six changes on three. Therefore here must be three Hunts, and three Extream bells: the three Hunts are thus distinguished; one of them is call’d the whole-hunt, another the half-hunt, and the other the quarter-hunt. The Half-hunt, Quarter-hunt, and three Extream bells, are to make the Sixscore changes; the Quarter-hunt and three Extream bells are to make the Twenty four changes, and the three Extream bells are to make the six changes, which are here also called extream changes, and made in the same manner as before I have shewed upon four bells. In this example here prickt, treble is the whole-hunt, 2d the half-hunt, 3d the quarter-hunt, and 4 5 6 extream bells. Now ’tis observable, that 4 5 6 are to make the six extream changes, which will divide the seven hundred and twenty into six equal parts; the 3 4 5 6 are to make the twenty four changes, wherein the 3d is the hunt, (but in the seven hundred and twenty ’tis call’d the quarter-hunt;) and 2 3 4 5 6 are to make the sixscore changes, wherein the 2d is the whole-hunt (though in the 720 ’tis call’d the half-hunt,) by which ’tis evident, that the treble continually hunts through these five 2 3 4 5 6, the 2d through the four 3 4 5 6, and the 3d through these three 4 5 6; which are assigned for the respective hunts to hunt through, from the beginning to the end of the peal. First the treble hunts up (a). Now one of the sixscore changes must be made, therefore the 2d being the hunt in the sixscore, must begin its course through the other four notes (b). The treble hunts down (c); the 2d proceeds in its course (d); the treble hunts up (e). The 2d proceedeth forward in its course (f); the treble hunts down (g); the 2d proceeds forward (h); the treble hunts up (i); the 2d, which is the half-hunt, should now proceed forward, but having finished its course through the four bells, therefore the 3d, which is the quarter-hunt, must begin its motion through the extream bells (k). The treble hunts down (l). The half-hunt must now begin its course again through the four bells, and first therefore it moves down under the 6 (m). The treble must hunt up again, and then the 2d must move down under another bell, which method must be observed untill the 2d has moved quite down through the four bells again, and then the 3d must proceed forward by moving over another of the extream bells; which method must be observed in the motion of the three hunts, until the quarter-hunt hath moved up behind the extream bells, and then the whole and half-hunts, having gone their course again through the bells, an extream change must be made: after which the whole, half, and quarter-hunts proceed again in their course as before.

123456
a 213456
231456
234156
234516
234561
b 324561
c 324516
324156
321456
312456
132456
d 134256
e 314256
341256
342156
342516
342561
f 345261
g 345216
345126
341526
314526
134526
h 134562
i 314562
341562
345162
345612
345621
k 435621
l 435612
435162
431562
413562
143562
m 143526

The letter h standing by the figures signifies half-hunt, that is, the motion of the half-hunt in that change; and likewise q the quarter-hunt. Here are the first sixscore changes of a seven hundred and twenty; wherein ’tis observable, that all the changes at h and q being set down by themselves in the same successive order as they were made, that is, the 1 to be excluded, and the changes on the other five figures to be set down directly under one another, and the extream change at last, it will thereby appear, that the five figures have made twenty changes of a sixscore, according to the method of the example on five bells, page [63]. with this only difference, these are made on 23456, and those were made on 12345; but the five figures of each have both alike course, the 2d and 3d going the same course in this, as the treble and 2d did in that. Now whereas the sixscore changes here prickt down are a sixth part of the seven hundred and twenty, so likewise are the twenty changes, here made by 23456, a sixth part of the sixscore: and then consequently, the seven hundred and twenty changes being all prickt, the sixscore changes on 23456 would plainly appear therein, in the same manner as twenty of them appear in this sixscore. Therefore more need not be said of the method of the 720, since the method of the sixscore changes on five bells being well understood, will be a sure and certain guide to the Learner: only this one thing farther; in ringing of this peal with any hunts, the second extream change being made between the two bells which made the first extream, will always bring the bells round at the end of the twelvescore. But after twelvescore are made, they cannot in course be brought round until the end of the 720.

123456
213456 435612 214536 456312
231456 435162 241536 456132
234156 431562 245136 451632
234516 413562 245316 415632
234561 143562 245361 145632
h324561h143526h425361h145623
324516 413526 425316 415623
324156 431526 425136 451623
321456 435126 421536 456123
312456 435216 412536 456213
132456 435261 142536 456231
h134256h432561h145236h452631
314256 432516 415236 452613
341256 432156 451236 452163
342156 431256 452136 451263
342516 413256 452316 415263
342561 143256 452361 145263
h345261h142356h453261h142563
345216 412356 453216 412563
345126 421356 453126 421563
341526 423156 451326 425163
314526 423516 415326 425613
134526 423561 145326 425631
h134562h243561h145362h245631
314562 243516 415362 245613
341562 243156 451362 245163
345162 241356 453162 241563
345612 214356 453612 214563
345621 124356 453621 124563
q435621q124536q456321 Extre.
125463

The 720 changes may be rung one thousand nine hundred and twenty several ways, which is thus demonstrable. There are six times five figures to be produced out of six, and not twice five the same: as 12345. 12346. 12356. 12456. 13456. 23456. and with each five the sixscore changes may be prickt one hundred and sixty ways, as before I have shewed on five bells. Now to each five add the sixth figure which is wanting, as to 12345 add 6, to 12346 add 5, to 12456 add 3, to 13456 add 2, and to 23456 add 1. And the sixth figure which is added, being hunted through all the several sixscores which the other five figures make; for instance, the 6 through the 160 several sixscores which 12345 make, and the 5 also through the 160 several sixscores, which 12346 make, and the like of the rest; will produce as many seven hundred and twenties as there are sixscores, that is, six times one hundred and sixty, which amounts to nine hundred and sixty. Then the note that hunts through the other five, may hunt two ways through each sixscore, that is, up and down, which will double the former number, and make nineteen hundred and twenty in the whole.