Number of tropes in an n-scale
It is possible to enumerate orbits of tropes in an n-scale with
respect to certain group actions (cf. Section 3.5.3
of [1]). 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.
Database on tone rows and tropes
harald.fripertinger "at" uni-graz.at
January 2, 2019