The Generation whistle bought from Ebay may not have an octave hole. I observed some "Irish music" players locally who bored a small hole on the bottom - between the top two holes - which, when covering the top hole and opening this back-hole, gives the flattened seventh - Cnat on a D whistle. The stated reason was to avoid the cross fingering. Sounded normal. Reckoned it was easier to play faster, but I doubt it with practice.
On a recorder, from memory, the top hole is the octave hole, and the back hole gives you a scale note? Flattened 7th? Can't find a recorder fingering chart...
Cutting other backholes in appropriate places should give other "chromatics" on a diatonic whistle.
Which leads me to a question or two...
1) What is a "Flagolet"? I have heard that one type - by this name - has two back holes (with 8 front holes). What are they for and where are they? I seem to rememeber that the original reference I heard was to a french type of whistle.
I know the generic term "flagolet" - I know a fair bit about music
2) Does anybody have a "Tipperary Flute". I was given one as a child in the 1950's. It was conical, a fipple, at least one backhole (up the top) I remember, made of black plastic. It was NOT actually a recorder - I seem to remember clearly that the octave hole was in a different position - at the back - which is why I seem to remember that it was diferent from a recorder. I can't remember exactly how many front holes it had - at least 8. It died in my childhood - along with other things... I have seen one some years ago, but the owner had put it in hot water and it went into a very strange shape ...
Robin