Wellen umspielten mich (Your waves were playing around me)
Josef (Matthias) Hauer
The voices in the trope
Once again the chromatic scale with the division into right and left section:
The left half of the trope now contains the notes: G flat, G, A, B flat, D flat and E flat.
The right half of the trope contains the notes A flat, B, C, D, E and F.
Any set (half of a trope) is arranged in ascending line, in which chromatically neighbouring notes are put next to each other.
(Reading instruction: first read line 4, beginning with the root note (tonic) G flat, then the 3rd, 2nd and 1st line).
There are 4 voices, consequently this is a four-voice trope. The chromatic notes G flat and G are in the left half, the following note A flat is in the right half, the chromatic notes A and B flat in the left half, the chromatic notes B and C in the right, D flat in the left, D in the right, E flat in the left and E and F in the right half of the trope.
A trope consists of 12 notes, each half of 6 notes. Chromatically neighbouring notes are placed next to each other, non-neighbouring ones ar stacked.
Hauer calculated the existence of 44 tropes.
A look at trope chart IV shows that the above example is the 31st trope.
(Cf. Hauer in pictures: Trope chart IV.)
Comparison: the 31st trope in Hauer's and in conventional notation:
Use of the trope