Database on tone rows and tropes -- The D12 × D12-orbit of a tone row

The D₁₂ × D₁₂-orbit of a tone row

In order to compute all elements of the D₁₂ × D₁₂-orbit of the tone row f it must be input either in numeric form or by choosing note names.

For each tone row h in the orbit of f an element (φ,π) of the acting group D₁₂ × D₁₂ is presented so that h=(φ,π) f=φ o f o π^-1. If you press the button "S" the stabilizer of the corresponding tone row in D₁₂ × D₁₂ is computed. The tone rows are ordered by the lexicographic order. There are at most 576=24² tone rows in one orbit.

For more details see Sections 3.1, 3.2 and Remark 3.1 of [1].

Database on tone rows and tropes
harald.fripertinger "at" uni-graz.at
January 2, 2019