I’m at a disadvantage because my wife’s gone to bed, and the only way I can play a whistle is to blow across the voicing window, fluteishly, which doesn’t give much idea of the second register.
I don’t think this is the correct answer, but what comes to mind is the tune from Jeopardy.
Best wishes,
Jerry
Hmmm… Sounds like part of Paddy Cronin’s Jig. (?)
Wait! I take that back. Higgins’ Hornpipe?
(Remember the topic a couple of weeks ago about songs that get stuck in your head? Thanks a LOT, Nanohedron!) 
What is Harvest Home Hornpipe. I’ll take jigs and reels for $200, Alex.
Yeah I missed out on the prestructural whistle experience. Now I feel ripped off. I think Dale owes me a refund… Just think about it… whistleing without any structure at all… makes ya think.