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We propose a general framework for Tensor spectral decomposition.Our proposed factorization decomposes a tensor into a product of Orthogonal and Scaling tensors.At the same time,our factorization yields an expansion of a tensor as a summation of outer products of lower order tensors.We shows the relationship between the Eigen-objects and the generalized characteristic polynomials.Our framework is based on a consistent multilinear algebra which suggests how to generalise the notion of matrix Hermicity,matrix Transpose,and most importantly the notion of Orthogonality.Our proposed factorization for a tensor in terms of lower order tensors can be recursively applied so as to yield a Tensor Spectral Hiearchy.