The reason of this rule is evident.
If it were otherwise, an unworthy Master (for, unfortunately, all Masters are not worthy) might on any subsequent evening avail himself of the absence of those who had voted black balls, to order a reconsideration, and thus succeed in introducing an unfit and rejected candidate into the lodge, contrary to the wishes of a portion of its members.
Neither can he order a reconsideration on the same night, if any of the Brethren who voted have retired.

All who expressed their opinion on the first ballot, must be present to express it on the second.

The reasons for this restriction are as evident as for the former, and are of the same character.
It must be understood, that I do not here refer to those reconsiderations of the ballot which are necessary to a full understanding of the opinion of the lodge, and which have been detailed in the ceremonial of the mode of balloting, as it was described in the preceding Section.
It may be asked whether the Grand Master cannot, by his dispensations, permit a reconsideration.

I answer emphatically, NO.

The Grand Master possesses no such prerogative.