The 13 chord and arpeggio with the 6th string root.
The 13 Chord
Technically the 13 chord has the 1, 3, 5, b7, 9, 11, and 13 intervals. That is a total of seven notes which wouldn't be possible unless you have a seven string guitar. But even then experienced guitarists tend to play only the notes that give the chord its essence. In fact, many jazz players play as little as three notes when playing a 13 chord. The notes that are essential in the 13 chord are the 3, b7, and 13. In the fingering below there is no 5 or 11. The 1, 5, 11, and 9 are dispensable. The numbers in the diagram below represents the fingering.
The 13 Arpeggio
The 13 arpeggio, like the 13 chord, has the 1, 3, 5, b7, 9, 11, and 13 intervals. The 13 arpeggio is very interesting because there are many other arpeggios within the 13. For example, the C13 has the arpeggios of C major, C7, Edim, Gm, Bb major, Dm, and F major. When improvising you can play any of these arpeggios and they function as C13. The numbers in the diagram below represents the fingering.
