Playable, correctly spelled, and not how the chord is normally voiced. Right now this is the shapes that put a ninth, eleventh or thirteenth below the root.
F#maj13 is F#, A#, C#, E#, G# and D# — F#maj9 with the thirteenth on top, and the eleventh left out.
It sounds full and wide open. Everything the major scale offers except the eleventh, which is left out because it fights the third.
Tonic — the major sound with most of the scale showing.

| F# | A# | C# | E# | G# | D# |
|---|---|---|---|---|---|
| 1 | 3 | 5 | 7 | 9 | 13 |
Also written F#M13, F#Δ13 or F# major 13. The same chord either way; which spelling you meet depends on who wrote the chart.
Six notes and four fingers, so something has to go. Keep A# and E# (they fix the quality) and D# and G# (what the symbol is about). Let C# and F# go, in that order — a perfect fifth says nothing the root has not, and in a band the bass has the root.
Play F#maj13 as a shell — root, third and seventh — and the spare string takes the #11 (B#).
All 7 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 F#maj13 is G#m7 to C#7 — the ii and the V of F# — and C#7 shares its third and seventh with G#m7, so the hand barely moves between them.
In which keys. Every note of F#maj13 belongs to C# major (the IV, the subdominant), Eb minor (the ♭III), F# major (the I, the tonic) and Bb minor (the ♭VI).
Every note of F#maj13 is in F# major and F# lydian.
Each of those is a page: the scale across the neck, and the chords it harmonises into — which is where F#maj13 sits in it. Every scale.
Change one note of F#maj13 and you have F#maj9 (drop the thirteenth), F#maj11 (the thirteenth becomes the eleventh), F#69 (drop the major seventh) or F#13 (the major seventh becomes the flat seventh).
F#maj13 is a major chord — root, major third, fifth. Major 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.