OK I see-yes I do check that my cadence is in synch with the music on Tracks 3,5,7. I don't really feel it in the pedal stroke itself. In another cycling cert-we were taught to pick a foot and synch it with the music (if we wanted to ride to the beat) when that foot is at 3 o'clock. With heavy resistance (like a hill or sprint with load) you may feel more resistance at the front of the stroke, but ideally you should aim for equal pressure at all 4 points-that's what it means to smooth out the pedal stroke. Now in outdoor cycling (I know, RPM is and inddor class) when the pedal stroke becomes uneven-or not smooth-we change gears. That's because you want the pedal stroke to be efficient. When the pedal stroke isn't smooth then it's not efficient therefore you're loosing power-wasting energy-definitely NOT something you want when riding a Century-or sprinting the line-or pulling in the wind or even climbing.
So, yes you can synch to the music but you shouldn't really feel it (it may seem like you feel it-hopefully that's the mind body connection working) and if you really do feel it you may need to work on smoothing out that stroke. I definitely wouldn't cue the class that way though. The biggest mistake I see fairly new riders or riders who never ride outside do is way too much resistance in the climbs-thus all they feel is the downstroke and way too little resistance in the sprints-I call that free wheeling-legs going really fast and the pedal stroke looks sloppy even if they're not bouncing in the saddle. One leg pedal strokes will help smooth things out too-especially if you use the right amount of resistance.