Question: I'm learning from books about harmonic analysis in order to improve my interpretative skills.

So, I am studying this piece by Venezuelan composer Alfonso Montes, called "Preludio de Adiós". The first challenge appears on bar #3 where I have this sort of Fmaj7(with an augmented 4th). What would be an adequate name for such chord?

It would be awesome to read different analysis on this extract.

[![first 11 bars of Preludio de Adiós](https://i.stack.imgur.com/tGPTG.png)](https://i.stack.imgur.com/tGPTG.png)

Answer: 
Not knowing what instrument this was written for I found a recording and discovered it is guitar. This is important because guitarists will often let the notes of arpeggios ring out when played. I think the Am9-Am6/9 is justified for bars 1-2. @Aaron makes a good point about the B as a lower neighbor but since this is guitar music and the B’s are sustained with the open B string I think they should be included in the chords. For the third chord I offer Fmaj7(add #4)/A. My reasoning is it implies the F below the E in the voicing. Usually this would be called #11 (“add #4” is unusual in chord symbols) but I think the #4 distinction is important because of it’s proximity to the 5th.
This is a kind of subdominant cadence in minor, like C C7 F Fm in major ...

in minor we have i7-IV7 resp. iv#6 - iv7 resp. VI! (very common in many pop songs).