Note: The recording is a half-step higher than the linked score. This analysis is based on the score.
Note 2: Schütz was composing during a period of development toward tonality, but the "rules" of tonality were not yet established. So one should take a modern tonal analysis with a grain of salt.
Analytically, this is a half cadence.
Measure 167 clearly sets the ear in B minor, measure 168 in E minor, and then measure 169 in F# (major — the third of the chord is missing by modern standards, but an open fifth cadence was idiomatic for Schütz's time).
It sounds harsh for a few reasons:
- In music since around Bach's time, an open fifth at a cadence is an unexpected, even harsh sound. It resonates with a "buzz" that would otherwise be mitigated by the presence of a chordal third. (Hard rock, for example, routinely uses open fifths — power chords — in part for this very reason.)
- The parallel fourths in the violins also present a "harsh" sound to modern ears. Parallel fourths are often avoided, or used is special circumstances (we see you, parallel 6-3 chords). But having them in such an exposed position (high, isolated) is an unexpected sound.
- The tuning and timbre of the instruments, in particular the organ. F# would have been a very unusual key for the time, and it's likely that contemporary, fixed-pitch instruments (like the organ) would have been tuned in a way that made and F# chord particularly harsh. Short of knowing the details of this, they do sound "out of tune" for someone used to 12-TET. This can be a result of the resonance of the open fifth, or it could be the specific tuning, or it could be a limitation of the organ tuning.