In answer to the question re measuring equipment, this is my method, used so far for 20DP, 1.25 Mod and 1.5 Module gears.
You will need your Digital Calliper, and / or at least one Micrometer,; and a DTI and magnetic base.
You are not actually cutting the gear teeth, but the gaps between them, so that the teeth are what is left after you have finished cutting!
Mount a small 3 jaw or a 4 jaw independent chuck with a 2 MT shank into the lathe (Sleeves need to bring upto the MT in the lathe spindle ) 2 MT because my Rotary table has a 2 MT bore. Yours may be different.
If the gear is to be cut on an existing shaft, use the 4 jaw, and clock the workpiece or mandrel to bring it central,
Bear in mind that if using a 3 jaw, turning the blank to size will bring the OD central about about the axis, irrespective of any eccentricity of the raw material, but the shaft for the needs to be turned to size at the same time to ensure concentricity between shaft and gear.
Ensure that the blank is long enough for the gear cutter to clear both the chuck jaws and the Tailstock!
Turn the blank to size, and centre drill the end of the mandrel.
.Without disturbing the work in the chuck,move the whole assembly to the Rotary Table, supporting the outer end .
measure the thickness of the cutter.Using the "oily fag paper" method bring the side of the cutter into contact with the top of the blank, and Zero the Z axis dial
Withdraw the cutter in the Y axis (This assumes that the cut will ,be applied along the X axis. )
Lower the cutter by half the thickness of the cutter plus half the diameter on the blank. The centerline of the cutter should now be on the centreline of the blank.
Again using the "oily fag paper"method touch the cutter against the blank, and set the Y axis dial to Zero.
Assuming that the cutter is behind the blank, move the cutter into position on the X axis, so that it clear of the gear blank, and ready to cut.
Using the Y axis dial, move the table to apply the depth of cut (Probably marked on the cutter, or can be found in, or calculated from, Ivan Law's book ), and lock it.
Lock the Rotary Table, and take out any backlash, before engaging the spring loaded pin on the handle in a hole min the hole in th required ring of holes, and set the Fingers against the pin and to the required number of holes
Setting the fingers allow you to increment by the required number of hole, without having to count each time..
(The chart with the Rotary Table should give the number of turns and holes on a particular hole ring on the Division plate for the number of divisions that you require. )
Check that the figure are correct.
I found the hard way that the chart for my R T contained errors and omissions, and wasted a week repeatedly making scrap, waiting for Loctite to cure,and losing confidence in my ability to count, before making up a spreadsheet which revealed the errors!
So, if your RT has a 90:1 ratio, and you wished to cut a 13T gear, having cut the cut the first gash, the table would need to be unlocked and incremented by 6 turns and 36 holes on a 39 hole circle, before being relocked, between cuts.
Remember the backlash, so always increment in the same direction, and reposition the fingers!Having set the machine speed to the closest to give the required cutting speed, apply whatever is your choice of lubricant to the blank.
Start the machine and very gently feed the cutter into the blank until it is clear of the other side.
Stop the machine, and return the X axis to the starting point.
Unlock the RT and increment for the next gash, and relock.
Take the next cut.
Repeat the above, until you have the required gear.
If the increment is incorrect, the gear teeth will be too thick or too thin except for the last tooth!
HTH
Howard