The existence of new 7-, 8-, 9-and 10-membered homologues of chiral cyclohexylhemicucurbituril is reported. The barrelshaped (all-R)-cyclohexylhemicucurbit[8]uril ((all-R)-cycHC[8]) was isolated and its complexes with anions were detected in negative ion mode MS. Here, 7-, 9-and 10-membered homologues were detected by HPLC -HRMS. Geometries of all reported macrocycles were calculated using quantum chemical methods, which showed that even-numbered homologues were barrel-shaped and odd-numbered homologues were asymmetrical barrel-shaped with unequal dimensions of the openings. The size of the ((all-R)-cycHC[8]) cavity was comparable to CB[8] and it probably can serve as a chiral host.