On most die heads, the chasers are specific to a size and pitch, and any adjustment for other diameters will distort the pitch, the only one that I know of that does not follow this pattern is the Landis die, which will cut different diameters with a given pitch of chaser, and individual chasers of the same number and pitch may be replaced if badly damaged; these are tangent chasers and may be carefully sharpened on an ordinary bench grinder without regard for chaser length.