The second example (which interestingly doesn't seem to have been discussed on here as much) contains typical tonal features with almost textbook cadences (with secondary dominants) that unequivocally define a key (though the final cadence is more ambiguous).
The first example of the other hand... The consensus here seems to be that it's in A minor. Although the middle of the setting is fairly tonal in character, I would argue that a Phrygian interpretation makes more sense for the chorale as a whole.
The first cadence is a very typically Phrygian figure, with the soprano moving from D up to E and the bass from F down to E. This compound sixth moving to an octave in contrary motion was a common modal closing formula. This went back a long way, before the rise of tonality. Similarly with the penultimate cadence, another Phrygian fingerprint. We might hear it today as a cadence in A minor, but this was certainly not always so.
The final cadence perhaps sounds the most "A minor"ish to us, but again, this is actually another Phrygian characteristic; scale degrees 6-5 (here in the tenor) over iv-I in the bass. See the work of Seth J. Coluzzi for further details.
Many writers have described the difficulties of hearing modally, particularly regarding the Phrygian mode. However I do believe one can learn to appreciate it from such a standpoint and that in doing so, one can get a better understanding of the piece.
We're talking about the first example, right?fmr wrote:What do you mean? The G# appears in the tenor in the second bar, and also in the flutes part.![]()
No G#s there until the recorders supply one at the first cadence