A connection comprising: a first tubular member comprising a first screw threadform defined by a first plurality of crests , a first plurality of roots , and a first plurality of flanks , wherein each flank separates each crest from each root , and wherein the first plurality of crests and roots are substantially axial to the first tubular member and the first plurality of flanks are substantially radial to the first tubular member ; and a second tubular member comprising a second screw threadform defined by a second plurality of crests , a second plurality of roots , and a second plurality of flanks , wherein each flank separates each crest from each root , and wherein the second plurality of crests and roots are substantially axial to the second tubular member and the second plurality of flanks are substantially radial to the second tubular member ; wherein the first tubular member and the second tubular member are configured to connect when the first threadform engages with the second threadform; wherein a first plurality of thread compound relief spaces is formed between each of the first plurality of crests and each of the second plurality of roots , throughout the axial length of the first and second screw threadforms; wherein the first screw threadform and the second screw threadform each have a wedge threadform shape; wherein the first tubular member comprises a pin end and the second tubular member comprises a box end, and the thread compound relief spaces are formed between crests of the pin end and roots of the box end ; and characterized in that the thread compound relief spaces comprise an axial height that is 5% to 40% of an axial height of the first plurality of flanks , or wherein the thread compound relief spaces comprise an axial height that is 5% to 40% of an axial height of the second plurality of flanks . a first tubular member comprising a first screw threadform defined by a first plurality of crests , a first plurality of roots , and a first plurality of flanks , wherein each flank separates each crest from each root , and wherein the first plurality of crests and roots are substantially axial to the first tubular member and the first plurality of flanks are substantially radial to the first tubular member ; and a second tubular member comprising a second screw threadform defined by a second plurality of crests , a second plurality of roots , and a second plurality of flanks , wherein each flank separates each crest from each root , and wherein the second plurality of crests and roots are substantially axial to the second tubular member and the second plurality of flanks are substantially radial to the second tubular member ; wherein the first tubular member and the second tubular member are configured to connect when the first threadform engages with the second threadform; wherein a first plurality of thread compound relief spaces is formed between each of the first plurality of crests and each of the second plurality of roots , throughout the axial length of the first and second screw threadforms; wherein the first screw threadform and the second screw threadform each have a wedge threadform shape; wherein the first tubular member comprises a pin end and the second tubular member comprises a box end, and the thread compound relief spaces are formed between crests of the pin end and roots of the box end ; and characterized in that the thread compound relief spaces comprise an axial height that is 5% to 40% of an axial height of the first plurality of flanks , or wherein the thread compound relief spaces comprise an axial height that is 5% to 40% of an axial height of the second plurality of flanks . <EOS>