In Western music, you’ll most often see music written in simple or common time (4/4 time). This is especially prevalent in genres such as blues, rock, pop, folk, and country.
All these styles are typically built on common rhythms that are made up of quarter notes, 8th notes, 16th notes, and so on.
Things get more interesting as you look at the rhythms of music from other parts of the world, such as Africa and India. This music often has rhythms that are much more complex, incorporating polyrhythms and syncopation for more complex (and very dance-able!) drum beats.