Information on bigger orbits

First the acting group G must be chosen. The tone rows we are interested in must be input by the numbers of their D₁₂ × D₁₂-orbits from {1,…,836 017}. It is also possible to search for all tone rows with prescribed stabilizer type (with respect to the chosen group action). The stabilizer types are described in the online document.

These bigger groups collect 1, 2, 4, or 8 different D₁₂ × D₁₂-orbits to one bigger orbit. It is also possible to restrict the search to tone rows which belong to bigger orbits collecting a prescribed number of smaller orbits. The different input blocks are connected with AND.

For each search result it will be possible to open pop-up windows showing

• the decomposition of the G-orbit into D₁₂ × ⟨R⟩ -orbits,
• musical information on the G-orbit
• all elements of the G-orbit,
• the stabilizer of the normal form of the G-orbit,
• the chromatic circular representation of all D₁₂ × D₁₂-orbits contained in the G-orbit.