F major 13th chord

Fmaj13 chord for piano with keyboard diagram.
Explanation: The F major thirteenth is a six-note chord (the 11th, Bb in the case of Fmaj13, is normally excluded). For practical reasons the chord is normally played with omitted notes and/or inverted. It is often abbreviated as Fmaj13 (not to be confused with F13).
Omissions: Fmaj13(no5): F - A - E - G - D, Fmaj13(no9): F - A - C - E - D.
Theory: The F major thirteenth chord is constructed by extending the major eleventh chord with a major thirteenth note.

Fmaj13

Fmaj13 piano chord diagram
Notes: F - A - C - E - G - D

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Fmaj13 inversions and voicings

Fmaj13/E chord diagram
Notes: E - A - C - D - F
One of many possible inversions (Fmaj13/E with the 9th and the 11th omitted)

Fmaj13 chord vocing diagram
Notes: F - E - A - D
Two-hand voicing

F chord categories

F Fm F7 Fm7 Fmaj7 FmM7 F6 Fm6 F6/9 F5 F9 Fm9 Fmaj9 F11 Fm11 Fmaj11 F13 Fm13 Fmaj13 Fadd F7-5 F7+5 Fsus Fdim Fdim7 Fm7b5 Faug Faug7