Random theory lesson time!
Let me teach you guys (and girls) a little Jazz Harmony. An "extended tertian" chord is a chord using only the notes from the key it's in. If a chord uses notes from OUTSIDE its key, it's then called an "altered" chord.
Here's the rules for extended tertian chords, in Jazz Harmony.
(Again, this means only using the notes in the key you're in.)
I'll stay in the key of C, just to keep things simple.
Major chords (and by major chords, I really mean "Maj7 and beyond" chords) can be extended up to the 9th (i.e. root, 3rd, 5th, maj7th, and 9th. In the Key of C, it's a Cmaj9, C E G B D).
You CAN throw in the 13th (A) if you want. But what DOESN'T fly is the 11th (the F). Try playing it on a piano, C E G B D F. That F just sounds ... weird, right? So, no 11ths in major chords.
Minor chords can be extended up to the 11th.
So, still in C, and playing an Amin11, that's A C E G B D.
Gorgeous, right? But throwing in that 13, the F in this case, makes it sound gross, and wonky.
Dominant chords (like G7, G B D F, where the 7th is a minor 7th interval from the root) can be extended all the way.
Again, still in C, that's the G7 chord, which can go all the way up to the G13. G B D F A C E. Using EVERY note in the key.
And it still sounds hot, eh? Damn right it does! Suspenseful, yes, because it's a dominant chord, but it works well if you follow the G13 with, say, a Cmaj9.
So, even though the Cmaj9(add13) chord has ALL the notes you're ALLOWED to put in it, while still keeping it a tertian chord, you CAN add more notes to it, and make it an altered chord.
Example, you can't add that 11. ...but you CAN add the #11!
Which bring me to MY favorite, chord, the maj9(#11) (with or without the 13/6 added).
For a Cmaj9(#11), that's C E G B D F#
And I like it better when it's spread out. Like this: C G D E B F# (that's over 3 octaves)
And it makes little difference to me whether it's a Cmaj9(#11) or an Fmaj9(#11), though I guess I like the Fmaj9(#11) the best.
And dude, there's only 12 notes. Come on.