A tubular connection, comprising: a pin member having a tapered, constant pitch thread having a root, a crest, a stab flank and a load flank, the stab flank of the pin member thread having a base surface and a second surface, the base surface extending radially outward and away from the root at a base angle (α2) relative to radial, the second surface extending radially outward and away from the end of the base surface at a second angle (α3) relative to radial, the second angle (α3) being greater than the base angle (α2); and a box member having a tapered, constant pitch thread having a root, a crest, a stab flank and a load flank, the stab flank of the box member thread having a base surface and a second surface, the base surface extending radially inward and away from the root at a base angle relative to radial, the second surface extending radially inward and away from the end of the base surface at a second angle relative to radial, the second angle being greater than the base angle; wherein a profile defined by the root, crest, stab flank and load flank of at least one of the pin member or the box member results in a single pitch line of the pin member or box member that is a stepped pitch line, wherein the stepped pitch line is the only pitch line for the profile and comprises: a first line segment passing through a first thread crest from a first point on the load flank of the first thread crest to a second point on the stab flank of the first thread crest, said first line segment being straight and uninterrupted by any discontinuity; a second line segment passing through a first thread groove from the second point on the stab flank of the first thread crest to a third point on the load flank of a second thread crest, said second line segment being straight and uninterrupted by any discontinuity; said second line segment being angularly offset from said first line segment. a pin member having a tapered, constant pitch thread having a root, a crest, a stab flank and a load flank, the stab flank of the pin member thread having a base surface and a second surface, the base surface extending radially outward and away from the root at a base angle (α2) relative to radial, the second surface extending radially outward and away from the end of the base surface at a second angle (α3) relative to radial, the second angle (α3) being greater than the base angle (α2); and a box member having a tapered, constant pitch thread having a root, a crest, a stab flank and a load flank, the stab flank of the box member thread having a base surface and a second surface, the base surface extending radially inward and away from the root at a base angle relative to radial, the second surface extending radially inward and away from the end of the base surface at a second angle relative to radial, the second angle being greater than the base angle; a first line segment passing through a first thread crest from a first point on the load flank of the first thread crest to a second point on the stab flank of the first thread crest, said first line segment being straight and uninterrupted by any discontinuity; a second line segment passing through a first thread groove from the second point on the stab flank of the first thread crest to a third point on the load flank of a second thread crest, said second line segment being straight and uninterrupted by any discontinuity; said second line segment being angularly offset from said first line segment.