That's not quite how flutes work. Two open tone holes in the same air column do not produce two distinct tones. They combine to change the effective length of

That's not quite how flutes work. Two open tone holes in the same air column do not produce two distinct tones. They combine to change the effective length of the air column, which then provides a resonance for one tone, the frequency of which is determined by the length and the speed of sound, which in turn is mostly determined by temperature, and partly by the humidity. You still need a reed to produce the initial vibration. I think what you are aiming for is more on the order of a disk siren. The rotation speed could be adjusted to produce a different base frequency, and one siren disk can support tone production from several air streams, each aimed at a different radius of the disk. Blocking off or opening the individual air streams can produce different chords based on the base tone. If you have twelve speeds and six air streams, you can make 767 different chords. The same rotor can turn the siren disk and a fan to move the air. You press the button, the disk spins, and a pre-programmed chord plays.