Please allow me to add my thoughts on this topic .
It’s really a unique whistle. 2 years ago I purchased an F in this style low whistle from Daniel Bingamon.
Little over a year ago I recorded a track with this whistle for Harvest Moon & added an Overton low F to compliment the Jewish F. I titled the track, “The Jewish Jam”.
I added some African Kalimbas as well along w/ other worldly sounds. The Jewish F starts with an improv air w/ a drone to it in that same scale. Then, the Overton F plays the melody behind it. Definitely non-traditional stuff & a bit pensive (dreamy) until the Overton plays the Irish reels to give it more kick.
I’ll have to agree with Dale Wisely & others that to improv on this whistle is really interesting to play around with. Try it for yourself & have some fun!
I can’t read any music so Improvisation is all I know.
Tom - click on “More Information on the Jewish Whistle” on the left hand middle of the link page that first appears when you click on the link Dale gave us. Then scroll down and you’ll see it. It really jumps.
I have an ancestor of this whistle and another one of Daniel’s minor modal whistles—I forget the name. This is a scale commonly used in Klezmer and in Arabic music and I quite often improvise on it on other instruments like sax and guitar. All his modal whistles will give you scales that are a joy to play on.