What Specific Sound Libraries are out there??

[SuperStinger]

Hi all

Im looking for a sound library for the purpose of creating a sound and playing it through speakers ( a sound device ).
I am currently programming in plain C.

This means i dont want a library that can read .wav and .mp3 and play them, I actually want to, e.g. create a sine wave and change the frequency, amplitude, etc

I am using SDL as my GUI and ive seen libraries like SDL_mixer, but i dont think it can do what i want it to.

Anyone know of some nice sound libraries?

Note: I am on windows and i am happy to use the window API if there are sound capabilities for my task at hand.

Many Thanks, Super_Stinger