Subdivision schemes play a vital role in Computer Aided Geometric Design these days. A new univariate symmetric ternary 6-point approximating subdivision scheme has been introduced that generates the limiting curve of C 5 continuity and its limit functions has a support on (-9, 8). The Laurent polynomial method has been used to investigate the continuity of the subdivision scheme. To determine the maximum degree of smoothness of the subdivision scheme, Holder exponent of the scheme has been calculated. The behavior of the proposed subdivision scheme has been depicted through four examples.