EDM[1] focuses on the rhythmic aspect of music, which can be 'musical' in itself. I think people confuse the word "musical" with "symphonical" - as the symphony is another (perhaps even the opposite of rhythmic if people insist on a dichotomy) aspect of music[2].
Known genres:
- Drum 'n Bass
- Dubstep
- Techno, hardstyle
Fun genres:
- Math rock
- Chip-tune
- Synthpop