C 13th chord

C13 chord for piano presented by keyboard diagrams.
Explanation: The C thirteenth is a seven-note chord. Due to practical circumstances, some notes (as a suggestion fifth, ninth, and eleventh) are omitted and the chord is played inverted. The chord is sometimes played with both hands. The chord is often abbreviated as C13.
Omissions: C13(no3): C - G - Bb - D - F - A; C13(no5): C - E - Bb - D - F - A.
Theory: The C thirteenth chord is constructed by adding a third to an eleventh chord.

C13

C13 chord diagram
Notes: C - E - G - Bb - D - F - A

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C13 inversions and voicings

C13 chord diagram
One of many possible inversions (with the 5th and the 11th omitted)

C13 chord diagram
One of many possible two-hand voicings (the 13th is added to a C7th voicing)

C chord categories

C Cm C7 Cm7 Cmaj7 CmM7 C6 Cm6 C6/9 C5 C9 Cm9 Cmaj9 C11 Cm11 Cmaj11 C13 Cm13 Cmaj13 Cadd C7-5 C7+5 Csus Cdim Cdim7 Cm7b5 Caug Caug7