D major 13th chord

Dmaj13 chord for piano with keyboard diagram.
Explanation: The D major thirteenth is a six-note chord (the 11th, G in the case of Dmaj13, is normally excluded). For practical reasons the chord is normally played with omitted notes and/or inverted. It is often abbreviated as Dmaj13 (not to be confused with D13).
Omissions: Dmaj13(no5): D - F# - C# - E - B, Dmaj13(no9): D - F# - A - C# - B.
Theory: The D major thirteenth chord is constructed by extending the major eleventh chord with a major thirteenth note.

Dmaj13

Dmaj13 piano chord diagram
Notes: D - F# - A - C# - E - B

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Dmaj13 inversions and voicings

Dmaj13/C# chord diagram
Notes: C# - F# - A - B - D
One of many possible inversions (Dmaj13/C# with the 9th and the 11th omitted)

Dmaj13 chord voicing diagram
Notes: D - C# - F# - B
Two-hand voicing

D chord categories

D Dm D7 Dm7 Dmaj7 DmM7 D6 Dm6 D6/9 D5 D9 Dm9 Dmaj9 D11 Dm11 Dmaj11 D13 Dm13 Dmaj13 Dadd D7-5 D7+5 Dsus Ddim Ddim7 Dm7b5 Daug Daug7