How to input a trope structure
The different tropes are labeled from 1 to 35.
In order to prescribe the trope structure,
- either a comma-separated list of 6 trope numbers from the
set{1,2,…,35} must be input describing the complete trope
structure of a tone row, e.g.
1,2,7,13,11,2
- or a part of the trope structure of a tone row must be input,
e.g.
2,7
which is a trope structure of length 2.
- or a blank-separated list of trope structures as in 2. must be
input. E.g.
1,2 7 13
which consists of three structures of length 2, 1 and 1. Using
AND demands that all the different parts must
simultaneously occur in the trope structure of a tone row, whereas
using OR at least one of these parts must occur in the
trope structure of a tone row.
- It is also possible to replace the occurrence of a single
(numerical) digit by a dot . or by
\d
of exactly two (numerical) digits by two dots .. or by
\d\d
of arbitrary many digits by .* or by
\d*.
Searching for a trope structure finds
- the occurrence of the input structure in the trope structure of
a tone row in normal form,
- but also in its retrograde,
- or in its cyclic shifts. E.g. the sequence
1,2,11
is found in a tone row with trope structure
1,2,7,13,11,2
even though the three trope numbers occur at the end and the
beginning of this sequence in retrograde order.)
Database on tone rows and tropes
harald.fripertinger "at" uni-graz.at
January 2, 2019