An open string left ringing against a fretted grip. Because it costs no finger, it sounds a note the closed shape has none left for -- a tension on top, or a pedal root underneath. Either a familiar grip with open strings added, or a shape so sparse the open strings carry the chord. These belong to their key rather than to a shape, so D, A, G and E have many and Eb a handful.
AmMaj11 is A, C, E, G#, B and D — AmMaj9 with the eleventh added on top.
It sounds dense and unresolved. The melodic minor tonic with most of the scale showing — more a texture than a chord to comp on.
Minor tonic — the melodic minor as far up as a guitar carries it.

| A | C | E | G# | B | D |
|---|---|---|---|---|---|
| 1 | ♭3 | 5 | 7 | 9 | 11 |
Also written AmM11 or Am(maj11). The same chord either way; which spelling you meet depends on who wrote the chart.
An open string left ringing against a fretted grip. It costs no finger, so it can sound a note the closed shape has none left for: a tension on top, or a pedal root underneath.
These belong to their key rather than to a shape: they cannot be moved up the neck. D, A, G and E have many; E♭ has a handful.
AmMaj11 has 6 of them, on strings 6-5-4-3-2-1, strings 5-4-3-2-1 and strings 6-4-3-2-1, from the 2nd fret up to the 5th — every inversion the chord has: A in the bass, E in the bass and G# in the bass. The one to learn first is the E shape at the 3rd fret, which is the easiest grip here.
3 of them sit on strings 6-4-3-2-1, so you can run the inversions up one set without changing strings — which is the whole reason to learn them as a family rather than as separate grips.
Six notes and four fingers, so something has to go. Keep C and G# (they fix the quality) and D and B (what the symbol is about). Let E and A go, in that order — a perfect fifth says nothing the root has not, and in a band the bass has the root.
Play AmMaj11 as a shell — root, third and seventh — and the spare string takes the 13 (F#).
All 8 common shapes as fret numbers, lowest string first. Hover or tap one to see it drawn.
How you get to it. The turn that lands on AmMaj11 is Bm7♭5 to E7♭9: the ii and the V of A minor, which is where a minor tonic is usually arrived at rather than simply begun on.
Every note of AmMaj11 is in A harmonic minor and A melodic minor.
Change one note of AmMaj11 and you have Amaj11 (the minor third becomes the major third), Am11 (the major seventh becomes the flat seventh) or AmMaj9 (drop the eleventh).
AmMaj11 is a minor chord — root, minor third, fifth. Minor chords on every root.
The common shapes and the derived voicings come from different places, and both are explained in how this site is built.
Shows each chord the way this style would voice it, and marks which of its alternatives belong to the idiom.