Easy enough to determine if you want inside or outside, LH or RH and the thread standard / included angle ?
Then two options – partial profile (cuts a range of pitches, 55 degree or 60 degree) or full profile (cuts one pitchof a particular standard only).
Partial profile inserts will be too “pointy” for the larger pitches, as the tip radius will be to suit the finest pitch the insert will cut. This also means the thread will have to be cut deeper than it theoretically would be if the tip radius was sized for the pitch being cut. A quick look at a Vardex catalogue shows that one of their external 60 degree partial profile inserts Size 11 will cut from 0.5 to 3mm pitch or 48-8 TPI.
Full profile inserts have the full thread form including the root and crest radius (or flat). Cutting depth should be according to thread data, as the tip radius / flat will be correct for the pitch. But you need a specific insert for each thread pitch / standard you want to cut. But a, say, 1.5mm pitch ISO insert will cut that pitch on any diameter component, you don’t need a different insert to cut M10x1.5 or M50x1.5 as all the details of the thread are referenced to the pitch, not the OD.
Cutwel have their range of threading inserts on one page. Select one and on the page for a particular insert is a link to the Vardex thread cutting tool catalogue.
At ex-work all the CNC lathes were equipped with an external threading tool holder in the turret, usually populated with a 0.5-3mm pitch partial profile insert that did for most general purpose metric & Unified threads. The cutting depth for the thread was adjusted in the program until a thread gauge fitted correctly, not to thread depth taken from tables. Threads outside that range usually had a specific full profile insert bought in to do that job, as did internal threads.
Nigel B.