bang wrote:

note that none of the fingers other than the thumbs are on the flute.
fwiw /dan
Bang, I notice that you were fortunate to get one of those fine flute beards! Very nice!
I balance the flute between the joint of the left index finger (pushes in), my chin (pushes out, and it's not my lip, but right under it), and the thumb of the right hand (pushes out). It's good in that the flute doesn't roll around and it's comfortable. I don't have pain in my thumb, which I did before adopting this method. The left fingers are sideways in Rockstro style.
The thumb on the right does not grip, either--it just stays straight with the tip pushing against the flute body. The fingers are straight on.
That's on a CB ergonomic Rudall. With a cylindrical bamboo, I have to use piper grip on the right with the whole hand angled. Still, there are those three points that keep the balance.
Finding those three points and getting them to work together was the key for me. I haven't had hand pain since and the flute is stable.
I'd like to say this is exactly like Grey Larsen's recommendation, but if I went back and looked at the book I'm sure I'll find that I'm not following it in some respect.
Take this with a grain of salt . . . it's not like I can play the thing.