General formula for an alkyne is only for a molecule that contains one alkyne function group in the molecule and the rest of the molecule is a saturated hydrocarbon. A molecular formula can only give you so much information and using a formula to classify a molecule without knowing its structure will lead you down dark and dangerous avenues.
For say 1-octyne the molecular formula is C8H14. But you can make a number of structures using that formula that don't have an alkyne, say 1,3-octadiene or cyclooctene or bicyclobutane (1-cyclobutylcyclobutane), or bicyclo[2.2.2]octane or a host of other structures.