_Colledge Grounds._ The _grounds_ of these _sett-changes_ are of two kinds. First, placing of the bells _Fifths_, or secondly _Thirds_. To place them _fifths_; the 4 must hunt up behind the 7, the 3 behind the 6, and the 2 behind the 5. Or else the 5 may hunt down under the 2, the 6 under 3, and the 7 under 4. Or otherwise, first a _single_, then a _double_, and then a _triple_ change to be made on the middlemost bells, all which are to one effect; for then the bells will lie _fifths_ thus, 15. 26. 37. 48. Here are four _Concords_ to be chiefly regarded in the peal. The first is 15. the second 26. the third 37. and the fourth is 48. These four _Concords_ may go the methods of any changes upon four bells; 1.5 being taken for the Treble, 2.6 for the Second, 3.7 for the Third, and 4.8 for the Fourth; and the _Concords_ to change places with each other at pleasure. Wherein ’tis observable, that the two notes of every _Concord_ must constantly attend each other in their motion; that is, whensoever one of the two notes moves, the other must follow it. For example: admit they were to go the _twenty four_ changes, and that 1.5 were to hunt up over 2.6, 3.7, and 4.8. first therefore it must move up over 2.6, wherein it makes four changes: for first, the 5 moves up over the 2 thus, 12563748, the 1 must follow it thus, 2156.37.48. Then the 5 moves up over 6. 2165.37.48. the 1 follows it again 26.15.37.48; here the two _Concords_ have made a change. In which manner also 1.5 must move up over 3.7. and 4.8. And in this manner are the _Concords_ to move and change places with each other throughout the peal. Or secondly, to place the bells _thirds_, the 64 and 2 must hunt up, or else the 357 down; or otherwise a _triple_, a _double_, and a _single_ change to be made on the middlemost bells; all which are to one and the same effect, for then the bells will lie _thirds_ thus, 13.57.24.68. Here are also four _Concords_ principally to be regarded in the peal: the first is 1.3, the second 5.7, the third 2.4, and the fourth 6.8. These four _Concords_ may also go the methods of any changes upon four bells, 1.3 being taken for the _treble_, 5.7 for _second_, 2.4 for the _third_, and 6.8 for the _fourth_, and they must move in the same manner as before I have shewed. By these _Grounds_ great variety of excellent and Musical changes are to be rung. If they go the _twenty four_, then the peal will consist of four times that number, that is, _ninety six_ changes. But they may go only the first eight changes of the _twenty four_, and then the peal will consist of _thirty two_. Or else the first eight changes of a _twenty four_ doubles and Singles, which will consist of _forty eight_ if the double changes of the _twenty four_ are singled, otherwise but _thirty two_ as before. Any _Concord_ may be made a _hunt_ and to move either up or down at the beginning: so that these _Grounds_ afford great diversity. In the