Matrix multiplication is widely utilized in signal and image processing. In numerous cases, it may be considered faster than conventional algorithms. Images and sounds may be presented in a multi-dimensional matrix form. An application under study is detecting diagonal activities in matrices to quantify the amount of harmonic structure preservation of musical tones using different algorithms that may be employed in cochlear implant devices. In this paper, a new matrix called "Omran matrix" has been proposed. When it is post multiplied with another matrix, the first row of the output represents indices of fully active detected diagonals in its upper triangle. A preprocessing matrix manipulation might be mandatory. The results show that the proposed matrix is powerful in this application and illustrated higher grade of harmonic structure preservation of one algorithm used for cochlear implants with respect to other algorithms.