Thirteenth chord - piano
The thirteenth chord (notated 13) is the ultimate extension of the dominant chord. Theoretically composed of seven notes, it includes the root, third, fifth, minor seventh, ninth, eleventh and thirteenth.
Intervals
| Degree | I | III | ♭VII | IX | XIII |
|---|---|---|---|---|---|
| Interval | Root | Major third | Minor seventh | Major ninth | Major thirteenth |
| Semitones | 0 | 4 | 10 | 14 | 21 |
Formula 1 - 3 - ♭7 - 9 - 13
Theory
In practice, the 13 chord often omits the fifth and eleventh. G13 = G-B-F-A-E (1-3-♭7-9-13). The major thirteenth (21 semitones) is equivalent to a sixth at the octave. It's the richest dominant chord, creating strong harmonic tension before resolution.
Examples
Example: Do Thirteenth
Styles
13 construction
Formula 1 - 3 - 5 - 7b - 9 - 13: maximal dominant. Jazz, big band.
Learning
Big band arrangements. Sophisticated jazz. Essential selective voicings.
How to play
Resolving V13. Big band, orchestral jazz. Selective voicings (omit 5, sometimes 9).