Is it true that we can speak, sing, and play wind instruments due to the Bernoulli effect? Is it true that we can speak, sing and play wind (brass) musical instruments due to the existence of the  Bernoulli's Principle ?
 A: Bernoulli's principal is essentially just energy conservation or Newton's laws applied to fluid flow. So really this comes down to is Newtonian mechanics important for these processes. I say to this that most macroscopic, mechanical processes rely on Newton's laws. Here we have forces acting on fluids, so I would say it applies. This is as specific as I can be, since Newton's laws cover so many phenomena, and the question does not ask for any specifics. 
One example I can think of though is if someone were to speak, sing, play the trumpet, etc. the diaphragm has to move to change the pressure acting on air in the lungs. This causes air to move from the higher to lower pressure region, thus the air speeds up and moves out if the lungs through the "instrument". 
In contrast the actual sounds that are produced more rely on the properties of standing waves in the instrument, waves in the air, and our perception of those waves. However you could argue that some of that also has Bernoulli hidden within I suppose. Like I said, it's all just Newton's laws and energy conservation.
A: I think by mentioning Bernoulli you are mostly thinking of sounds and voices created by wind flow. Otherwise there are some sounds that are created by clicking the teeth or other means.
Our vocal cords are the gate way to high pressure wind created in our longs by contraction of the rib cage and moving of the diaphragm.
Our vocal cords have range of vibration that can produce human voice with a range of roughly 85 to 180 Hz and female voice one octave higher at about 165 to 255 Hz, according to Wikipedia.
The way our vocal cords control sound is by blocking the air flow from our longs and releasing it in blasts of shockwaves which will be amplified in our mouth and modified by the tongue and lips and changing the geometry of our voice box and forming our throat like a trombone. 
The Bernoulli law among other things is a what happens at the sharp edge of the vocal cords. 
Hi pressure air blocked by the cord, when released by the cord slit opening, accelerates into a fast moving shockwave(Bernoulli law) with a reduced pressure which makes it easy for the cord to close back or tighten the slit. This release of shockwave repeats itself to make the note blown out. 
This compression and decompression behind the vocal cord is a hormonic vibration which we have learned to control and make it into words or songs.
This is just a very basic version of a very complex phenomena.  
