Originally Posted by: slasnerI am working on a solo for a song and am trying to confirm the name of a chord ...
[/quote]
Any chord can be named by reference to any note. It is a matter of picking one note as a root and then identifying all the rest of the notes relative to that particular root.

Let's make D-flat the root:
A-flat is a 5th
C is a major 7th
E-flat is a 2nd or 9th
A-flat is another 5th - we will ignore any duplicates from here on out.

So it could be a D-flat, suspended 2, major 7th
[QUOTE=slasner]I think it is a DbMaj7add9

Close, but in order to call a 2nd or 9th an "added" you should have the 3rd in the chord and this one does not (no major 3rd F-flat or minor 3rd F). That's why I used the "suspended", because the 3rd has been "suspended by the presence of the 2nd".

Now, let's make A-flat the root:
D-flat is a 4th
C is a major 3rd
E-flat is a 5th

So, we have an A-flat (major implied) with an added 4th. It's added because the 3rd is also present. Since the 4th is on the bottom it can properlybe called an A-flat/D-flat. A slash chord with the bass note after the slash, like equator pointed out.

Now, let's make C the root:
D-flat is a flat 2nd or 9th
A-flat is a minor 6th or augmented 5th
E-flat is a minor 3rd

So, we have a C minor aug(+5) added flat 2nd (or 9th). Whew.

Now, let's make E-flat the root:
D-flat is a 2nd
C is a major 6th
A-flat is a 4th

So, we have an E-flat sus 4th (no 5th) maj 7th added 6th. Whew, again.

The first two are more efficient names, by far. That only reason to use something as convoluted as the last two is if the chord really functions that way in the full context of the song or the other chords that surround it.