Could Orkney and Shetland be independent of Scotland?

Should Orkney and Shetland be allowed to remain part of the UK if the islands reject independence and the rest of Scotland votes for it in the referendum?

The suggestion has come from both Liberal Democrat MSPs for the Northern Isles, Tavish Scott and Liam McArthur.

In their response to the UK government's referendum consultation they have advocated enhanced powers for the islands including a different tax status within the UK.