The trope structure of a tone row
In order to display the trope {H1,H2}
consisting of the two hexachords H1 and H2
graphically, we draw the six vertices of the circular
representation of Z12 belonging to H1
in one color (say black) and the remaining six vertices in another
color (say white). The number of its D12-orbit is
written in the center of the circular representation.
When displaying the trope structure of a tone row f graphically,
we draw the six tropes τi, i∈ {1,…,6},
defined by f, in a circle. The line between the τ1
and τ6 indicates, that the tropes corresponding to
the remaining six shifts of f can be obtained by exchanging the
colors in the first six diagrams.
Database on tone rows and tropes
harald.fripertinger "at" uni-graz.at
January 2, 2019