Electromagnetic waves all obey the same underlying field equations, but different frequencies and wavelengths interact with matter in very different ways. Their continuous range is the electromagnetic spectrum.

In vacuum,

$$c=f\lambda,$$

so higher frequency corresponds to shorter wavelength.

Regions of the spectrum

From lower to higher frequency, common regions are radio waves, microwaves, infrared, visible light, ultraviolet, X-rays and gamma rays.

The boundaries between these names are conventional rather than sharp physical divisions.

Frequency-dependent interactions

Different parts of the spectrum couple to matter on different characteristic scales and through different physical processes. A material that is transparent at one frequency can absorb or reflect strongly at another.

Radio waves are widely used for communication, infrared is strongly associated with thermal radiation, visible light stimulates human vision, and X-rays can penetrate soft tissue much more effectively than visible light.

These differences do not make the regions separate kinds of classical wave. They are different frequency ranges of the same electromagnetic field, distinguished by how wavelength and frequency affect their interaction with matter.