A major thirteenth chord is created by adding a 13th degree to any major 11th chord. For example, a Cmaj13 chord contains the notes C, E, G, B, D, F and A (1, 3, 5, 7, 9, 11 and 13). The 11th degree is usually omitted because of its clash with the 13rd degree. Here are some common open Maj13th chord shapes.
Dmaj13

Ebmaj13

Emaj13

Fmaj13

F#maj13

Gmaj13

Cmaj13

Dbmaj13

Abmaj13

Amaj13

Bbmaj13

Bmaj13
