Musical Matrix Construction (alternate method)

In this video, we look at an initial row of pitches (3 0 9 6), corresponding to the notes D-sharp, C, A, and F-sharp, respectively. We can act on this row by 16 different transformations in the pitch class transformation group C_12. The 16 transformations are T_i (transpositions), I_i (inversions), RT_i (retrograde transposition) and RI_i (retrograde inversion) for i = 0, 3, 6, 9. In a very clear manner, we produce the unique musical matrix corresponding to the initial row (3 0 9 6) in this video.