could someone tell me what the ratio would be if i went with 32mm dia and 32mm pitch to achieve 10mm pitch? im guessing 3:1 or am i wrong

edit: also goal is to aim for acceleration rather then speed for 3D work and with the ballscrew being almost 3 meters long and driven with a rotating ballnut would you say 32mm is needed? again acceleration is important here not speed although a decent amount of speed is still required.

thanks