The values I'm changing on the monitor are divided by the constants in Drive Settings, right?
exactly. But I don't think that it is the velocity controller causing these problems. If the gains are too low, then it will react slowly but still reach steady state. If they are too high, then it will oscillate.
Your observation is somewhat different. The motor starts, it should instantly reach target speed. I assume no shaft load, so that should normally be not more than a few ten to 100 milliseconds depending on the motor. In your case it does never reach target speed, so you have two possible problems:
1) the motor current amplitude is not high enough
2) the motor current does not have the right phase (orientation with respect to rotor)
Does the motor run properly in sensorless configuration? Can you load the shaft then, does it maintain target speed then? You could measure one of the phase currents to see if it reaches the nominal value of 4A that you configured for the motor. If all this is correct, then this rules out option 1. To sense the motor current, I recommend this one here. I bought it a few weeks ago, incredible price/performance ratio and does its job well:
http://www.hantek.com/en/ProductDetail_15_77.html