Sound waves are changes in the distribution of particles within a volume over time. The sound wave itself is a byproduct of the particles compressing closer together or stretching farther apart.
You might be in love with the idea of describing an equation that frames the gradient of distribution, and the nature of it's propagation through a medium, but the sound wave is the manner in which the gaseous molecular constituents of the air are set in motion relative to one another. They get closer, they move apart, the changes occur at different places in the medium, at different times, and do so at a certain velocity, in sequence as interactions are forced upon the medium.
Indeed, the reason sound waves travel at the speeds we observe, is because that's how fast the very molecules themselves, comprising the air, are moving at the temperature and pressure of the environment.
Meanwhile, what color is a beam with a wavelength of one nanometer? Would you characterize the color as "soft x-ray"?