Well, it's not Scandinavian according to Chris Franz on the metafilter site:
Today I recieved this response from Chris Frantz:
Thanks for your message. The guess of Icelandic is close because Tina and her sisters lived in Iceland for several years in the mid-sixties when their father was stationed there with NATO.
But, no cigar because, in fact, that is not a sample. That is Tina's sister Lani speaking in a "made up" language that she invented to amuse herself when she was younger. She recorded the voice in one or two takes and we loved it because it was so weird.
Hope this answer helps.