[Donut]

I can't believe I completely forgot about potentiometers. Probably because they're not standard for Vex and I was assuming he was looking for Vex parts.

A potentiometer would be a very effective use for this, most of them can measure close to 300 degrees of rotation. Alot of them are single turn, some can be turned a few times (I've seen up to 10 turn ones), and there are a few rare continuous-rotation potentiometers that can handle infinite revolutions. They would only require one pwm cable soldered on to the POT and one analog input to hook it up to for each POT.

The KOP gear tooth sensors have different pulse lengths for different directions, Vex encoders are blind to direction. I should probably clarify my idea above was for sensing direction with a Vex encoder, since I failed to mention that in the post.

If you're trying to tilt something to a specific angle (rather than just measure somethings angle), you could just use the Vex servos as they can be set to specific positions. I'm not entirely sure what the conversion from PWM values to degrees is, but I'm sure it could be found.