What model Falcon do you have ???
On the EF/EL models, there are a number of beeps, to warn the Driver that either
Low Oil Pressure
High Engine Coolant Temp
Self Leveling Suspension Fault,
Possible Bulb out from Dash.
If U have an EF/EL then I will try and give you the Fault beeps, so as you have some idea WTF the problem could be.
(Unfortunately, I dont have an EA-ED Workshop manual, but I am sure there are many friendly people here that could help you out if this is the case !)