It is sometimes interesting to use different time signatures in a musical composition. It gives the listener the feeling of something incomplete, as if music was stammering. The following piece is called Broken Heel. Its first 48 seconds consists of a 4/4 bar followed by a 3/4 bar. The remaining of the piece stays in 4/4 but the first beat is a rest. The title of the piece results as an analogy of uneven walking steps.
Technically speaking, the combined time signature can be read as 7/4. It means we have seven beats each bar, maybe the most common of all irregular meters, but it works because the listener feels as if something was missing.
Most of the music we listen to, is written using binary or ternary meters, that is why meters different to those turn out peculiar.
In popular music, irregular time signatures can sometimes be applied to adapt long lyrics on a musical phrase. A common example are the verses in All you need is love by The Beatles or Money by Pink Floyd wich as a time signature of 7/4.
Regular time signatures like 4/4 usually called common time relates closely to the human movement like walking or breathing. Perhaps that is the reason why regular time signatures are highly used but sometimes it is good to move asymmetrically or walk with a broken heel to feel the difference.