You can also do
Calendar.Month()->beginning()->minute()+4711;
(11) Result: Minute(Mon 4 Apr 2011 6:31 CEST)
The ->minute() will give you the minute (one minute long) that the beginning of the month is in.
Actually the ->beginning() seems superfluous:
Calendar.Month()->minute()+4711;
(12) Result: Minute(Mon 4 Apr 2011 6:31 CEST)