Here are some useful movable major 13th chord shapes shown in the first four frets. As with previous chord types, learn each shape and then transpose it to all keys. Don’t forget to experiment with the formula to create your own fingerings. Make a habit of this with every new chord type you learn.
Here is a rhythmic part using an Amaj13 chord. It can be played either with one shape or several different shapes. Try it both ways as well as transposing it to other keys.
A thirteenth chord is created by adding a 13th degree to any dominant 11th chord. E.g., a C13 chord contains the notes C, E, G, Bb, D, F and A (1, 3, 5, b7, 9, 11 and 13). The 11th degree is usually omitted because of its clash with the 13rd degree. The following diagrams show some common open 13th chord shapes.