Decomposition into D12 × ⟨R⟩ -orbits (Schönberg-situation)

Since each D12 × D12-orbit of tone rows is a union of D12 × ⟨R⟩ -orbits it is possible to determine the decomposition of the D12 × D12-orbit of f into these D12 × ⟨R⟩ -orbits. Then the normal form of each D12 × ⟨R⟩ -orbit is tested whether it is an all-interval row, a combinatorial row, or a derived row. For more details see Section 3.7 of [1].
Database on tone rows and tropes
harald.fripertinger "at" uni-graz.at
January 2, 2019