The chords in the audio example are all played with the same note!
Chordata MIDI tool for Live 9.6.1:
This Ableton MIDI tool lets you easily play major and minor chord inversions, using a single note with your right hand and selecting the chord with your left.
To use it properly, click the MIDI-assign button in the top right corner, click the chain selector on Chordata, press and hold C0, and press F0 while holding. C0 through F0 now work as your chord selector.
I've put in basic major and minor 7th chords, as well as two inversions for each.
However, you can put in any combination of chords you like. Make sure to adjust the chord/chain selector parameter to the appropriate number of chords you're using.
There is a pot to select whether the note you play with your right hand is the bottom, root, or top note in the chord you hear. The default is set to top, since this allows for easy chord progressions. The chords with the same color have the same distance between the lowest and highest note in the chord.
Tune controls 1 and 2 do the same, I just wanted to have a smaller resolution.