These instruments do exist, they are called “Duduk-Kaval”. Viktor Terziiski offers them.
Thanks! I didn’t know that. I wonder how well they play. (Sticking whistle heads on flutes often has wimpy results.)
I play Kaval some, I used to play it in a Bulgarian dance band for a few tunes, I never got very good but could knock out a tune or two.
The dichotomy of approach to chromaticism in Western and Bulgarian woodwinds is interesting. In the West we took a load of different diatonic Renaissance woodwinds and first altered the bore and reduced the finger-holes to enable crossfingering (the Baroque approach) then enlarged the finger-holes again and put keys in between (the 19th century approach).
In Bulgaria they just drilled holes in the flute for the chromatic scale.
For the bagpipes they created the mormorka which raises the pitch of a given note a semitone, instantly turning a diatonic bagpipe into a chromatic one.
So Bulgarian woodwinds got all the notes with no keys- quite clever.