The synthesis of the first heteroduplex of cyclodextrin (CD) 11, i.e., a compound in which the two primary rims of alpha- and beta-CDs are doubly connected, was achieved. The selected strategy involved a Sonogashira coupling of propargylated beta-CD 6 and iodo-alkenyl alpha-CD 4 to singly connect the two CDs. A ring-closing metathesis (RCM) of the heterodimer 9 afforded the second bridge, final deprotection and reductions giving access to 11.