The structural, vibrational and electronic properties of several compositions of amorphous Ge-Se-Te are studied from a combination of X-ray diffraction and density functional-based molecular dynamics. Different structural properties are considered such as structure factors, pair distribution functions, angular distributions, coordination numbers and neighbor distributions. We compare results with experimental findings and a satisfying agreement is found for the structure functions in real and reciprocal spaces. The short range order is found to be more complex than in related binaries that result in mixed geometries ( 65-75 % tetrahedral, and remaining defect octahedral) for a dominant four-fold Ge (80 %). The chalcogen atoms are dominantly 2-fold, the former having furthermore an important fraction of 3-fold coordinated atoms (30-40 %). The obtained model structures indicate that Ge-Ge, Ge-Se, and Ge-Te bonds dominate with small fractions of Te-Te bonds remaining from the base system GeTe. The investigation of electronic properties indicates that the addition of Se atoms will lead to Te-related bands that are much more localized so that Ge-Te-Se can be regarded as having an increased covalent character with respect to GeTe.