[reaction: see text] A new iterative strategy for the synthesis of unsymmetrically substituted polyynes has been developed. The starting bromoalkyne is homologated by one acetylene unit through palladium-catalyzed cross-coupling with a TIPS-protected terminal acetylene and a subsequent in situ one-pot AgF-mediated desilylative bromination. The utility of this new synthetic method is demonstrated by its application to the total synthesis of (S)-(E)-15,16-dihydrominquartynoic acid.