Topic maker: Honestly, I truly believe the Atrio M5s should be your next step, if you're going to be reasonable about expectations vs. money spent. Voltage avoids the question of how much bass QUANTITY there is, because simply, the Shures aren't very bassy headphones. Not a fault of them, but not what you are looking for. The Atrio M5s, on the other hand, are MADE for bassheads and will most definitely have more bass than the NE-7Ms, whereas the Shure having more bass is most likely doubtful, at best questionable. And if you're going for the Shure price range, the IE8s (which are dynamic driver) and the Westone 3s (which some people complain about too much midbass) are probably better fits anyways.
By the way Voltage, the relation between enjoyment of music and frequency responses isn't necessarily linear. EX for some people, once they can hear the voices and the high hats, they want the bass to blow their minds. Others want very sparkly highs. But obviously none of them want ONLY their "favorite" frequencies. I haven't tried the W3s or the Shures, but say if the W3s deserved 4 stars for bass, 4 stars for mids, and 4 stars for treble, and the Shures deserved 4 stars for bass, 5 stars for mids, and 3 stars for treble (don't yell at me, this is purely hypothetical, don't talk about EQ), I'm sure 4 stars is enough for anyone to enjoy the "most important" frequency range, and at that point (even before), you can longer say that without mid range, there is no music.