Ideally, you need to find someone with a v-anvil micrometer. The angle of the V needs to be correct for the number of flutes – 60 degrees for 3 flutes, 108 degrees for 5 flutes and 128 degrees 34 minutes for 7 flutes. They are not cheap! An ordinary mike will not give a correct diameter.
V-angle mics are also used to detect lobing on centreles-ground spindles.