My Periphery album came in the mail yesterday and I listened to it once yesterday and once today. I played a song off of it at my band practice today and one of the members said, "They sound a lot like Sikth." and I said, "Yeah, pretty comparable."
Periphery's early stuff with Jake Veredika sounded a lot more like Meshuggah since Jake sang a lot like Jens Kidman. But, even then, Meshuggah generally will have a 5 minute long song made up of 3 riffs, all of which sound very similar, which is the exact opposite of how Periphery does things.
I hear influences from Sikth, Textures, The Dillinger Escape Plan, Meshuggah, and a lot of other bands, but anyone who thinks they are a clone of ANY of those bands is either insane or just being an asshole.