The show - commissioned as a potential successor to Neighbours - was shifted from BBC One after failing to win viewers.
After attracting more than 1m for its early episodes, Out of the Blue's audience had dropped to about 500,000 by last week, its last on the flagship channel.
On Monday and yesterday it drew in just 100,000 in the 1pm slot on BBC Two. Repeats of Diagnosis Murder, which have replaced the soap on BBC One, attracted 1m on Monday and 900,000 yesterday.
Later on Tuesday, the final episode in the current series of Waking The Dead led the way for BBC One during primetime. The show was watched by 6.2m, or 27% of the viewing audience.
On ITV1, the second part of The Duchess in Hull documentary, in which the Duchess of York handed out health advice, interested 3.9m (16.7%). The figure was down 1.1m on the audience for the first episode, shown on Monday.
Channel 4 drew 2.5m (10.9%) at 9pm with The F Word while 2.2m (9.6%) watched CSI: Crime Scene Investigation on Five.
Trailing the pack was The Supersizers Go... Wartime on BBC Two. Some 1.6m (6.8%) watched Giles Coren and Sue Perkins try out a World War Two-style diet.