Threadsplit time! Hee.
It's hard to argue that the human vocal chords can only produce one sound when you consider things like inflections, and the ability to sing in multiple octaves, etc. You can modulate your tone and all sorts of things. I see the point you're making, but I think it's rather more impressive than you're making it out to be!
My point in regard to binary wasn't so much about the sounds themselves, but how we use them to convey information. That's why I went into all the shit about how English is basically a base-26 number system, compared to binary's base-2. For another example you could consider Morse code a base-3 system (dit, dah, and silence). All of these things can convey the same information, but with varying degrees of density.
I guess we may even be talking about two different things, because I'm so in love with languages, and I'm more focused on linguistic expression than actual vocal pitch. A check of wikipedia reveals that there are 26 vowel sounds, where "vowel sound" means a sound that is made with the airway open, using only varying position in parts of the mouth to shape the sound, but without impeding it. A "consonant sound" is when you start cutting off the air flow in different ways, like fricatives (sounds like "ffffff" made by pushing air through your nearly closed lips), plosives (sounds like "t" or "p", or nasal sounds like "mmmmm"), etc.
Then consider that the 26 main vowel sounds are monophthongs. When you start getting into dipthongs (start on one vowel sound, but end on another) it adds even more complexity...
The sheer amount of things the human voice is capable of is really "intellectual hard-on" material! You're willing to concede that binary digits can represent anything, but fail to see how amazing the articulation of the human voice is in its ability to represent damn near anything as well!
To give the conversation some focus, and maybe prevent me from arguing something entirely different from what you're even saying, what is it that you wish the human voice could do that you don't see it as being able to do?