I'm confused about the chord naming convention for the chord C-D-E-G.
Is it Cadd2 or Cadd9?
Similarly, I'm confused about the chord C-E-F-G.
Is it Cadd4 or Cadd11?
EDIT: I understand what is the difference. I am talking about the chord notation convention. Some people say it has to be noted as Cadd2 and others say it does not matter whether the D is one octave or another, it is always Cadd9. I just want to find a full consensus on what is more professional or conventional. It's the same as in sus9 and sus11, I've seen them written both, but there is theoretically not such a thing like sus9 and sus11, even if the secondth or fourth is in the next octave.
Indeed, there should not exist even sus2 because every sus2 chord is an inversion for sus4 (eg Csus2 is an inverted Gsus4), and originally sus = sus4 = suspended third, not reduced.
But theory and practice are different (like C5 power chords new age notation), and I am now finishing some tabs, I want to know what is the best standard and less confusing for all kind of musicians.