Do things like sound waves contain matter?

Any wave is just transportation of energy. No matter is actually emitted. Sound waves are created by many sources - vibration of a human wind pipe (speech), escaping of energy in the form of sound when two or more objects collide etc. read more

Matter waves are, well, matter. You can't really answer anything about the mass of a matter wave. In air for example sound is vibrating air molecules, that generate high and lower pressure that radiates outward. read more

Sound waves are pressure waves. They carry sound by creating areas of rarefaction (fewer molecules, less pressure) alternating with areas of compression (more molecules, higher pressure). This is true for matter in gaseous, liquid, or solid form. read more

Sound is different. The speed of sound is much smaller than the speed of light. While "phonons" in low-temperature condensed matter physics - particles of sound - are analogous to photons in many respects, and $E=mc^2$ still applies, the same is not true for sound waves in the air etc. read more