Callum,.
I don't know your machine, and so, risk raining, / pouring on your parade.
The hobby lathes that i have come,across, admittedly few, all seem to use gears with Modules of 1, 1.25, or 1.5.
2.5 Mod is pretty coarse. Your 45T gear would have an OD of 117.5 mm ! Has it?
In Imperial, terms Myford 7 Series use 20 DP gears, whereas other machines use gears as coarse as 14DP.
In this case a 45T gear would be 3.351" ( 85.271 mm ) OD The 127T Myford Imperial to Metric translation gear has an OD of 6.45" (163.83 mm) The equivalent 45T gear would be 2.35" (59.69 mm ) OD
So your 2.5 Mod gears are pretty coarse!
Before trying to cut any gears, buy and study Ivan Law's "Gears and Gear Cutting"
It is No 17 in the Workshop {Practice Series.
It will ,be a help to you, and possibly prevent some costly mistakes.
May i suggest that you check your gears, before investing in cutters?
Take a gear and measure the OD in mm.
Count the teeth.
then use the formula
Module = OD / (Tooth Count +2 )
A 1.5 Mod 45Tgear would have an OD of 70.5 mm
A 1.25 Mod 45T gear would have an OD of 58.75 mm
My ETR BL12-24 which is 150 mm centre height (So not a small machine by hobby standards ) uses 1.25 Mod change gears, so the 120/127 compound has an OD of is 158.75 mm.
The 40T gears driving and driven to the gearbox are 52.5 mm OD.
The pinion engaging the rack to traverse the saddle is 13T, 1.5 Mod so is 22.5 mm OD,
Mini lathes use 1 Mod changegears, so the 80T gears have an OD of 82 mm
HTH
Howard