Apeya is right on the cusp of being progressive however they are keeping their metal roots intact with Ring and I also heard some blues influence as well. I maintain that any good rock music has a blues base regardless of what genre tag is attached to it. Overall this is a blend of rock, metal, blues, pysch, and a bit of space rock - quite a few genres to account for.
Ring is a potent musical statement from three inspired men. This trio is going to go places if they continue to evolve. They have to be careful not to get stuck in one place with this music because they will be forgotten quickly. Now that they have our attention the next trip into the studio should be more exploratory and hopefully we hear a little something more complex on the next go round. It sounds as if this band is capable of transforming into anything they choose and it should be interesting watching them grow.