Number of tone rows in an n-scale
It is possible to enumerate orbits of tone rows in an n-scale with
respect to certain group actions. Both for the domain and the range
of tone rows choose the action of a suitable group from dihedral
group Dn, cyclic group Cn, linear affine
group Aff 1(Zn), identity group which
contains only the identity id on Zn, or an
arbitrary group, which can be determined by a set of generators. As
a matter of fact the degrees of both permutation groups must be the
same!
Database on tone rows and tropes
harald.fripertinger "at" uni-graz.at
January 2, 2019