The bass A
is a pedal point.
If we go by the key signature, it is a tonic pedal.
This progression reminds me of something similar, but in classical style...
As you can see it also uses a dominant chord E7
in the treble over a tonic A
in the bass.
This classical progression is used to affirm a tonic, and it might be used at either the beginning of a piece to establish a tonic, or after a modulation to extend the new key for a bit. The tonic affirming aspects are obviously holding the A
in the bass, but also the D
, E
, and A
chords played above that are the primary triads of the key and include all tones of the key.
In terms of analyzing function, a pedal is usually either on the dominant or tonic scale degree, and it would simply be analyzed as V
or I
. All the chords and movement above a tonic wouldn't normally be analyzed. Although, the stuff above a tonic often moves by conventional voice leading and harmony.
Your progression is a little different, because it starts with a D
chord...
I think it more or less does the same thing as the classical progression. It affirms A
as tonic, but I think I would reduce and analyze it as...
That kind of progression - I IV6/4 I
- using a pedal 6/4 chord is sometimes called a tonic prolongation. It's another way to affirm a tonic.
Could the chord even be understood as a triple appoggiatura?
By my reckoning, yes, or maybe it should be called an auxiliary chord.
Have you ever heard the idea that the bass provides the harmonic foundation, or "follow the bass" to understand the harmony? I think that takes us a long way with understanding this question. In these progressions the E/A
is not functioning as a dominant, because the bass is not moving off the tonic. The bass is telling us A
is the tonic.