I just noticed that the Trackers support a wide range of 29 chords with many more 4-note chord type than the Play series. As we Play users can only enter polyphonic MIDI data via the step chord parameter, it certainly would be nice to have a broader range of chords than the limited table of 20 types we have.
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In case you are unaware, there are many more chords available if you hold Shift while browsing the chords. Many inversions and extensions hidden there 
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Amazing! I was not aware of this - thanks!
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I had run across that nice feature. Still I don’t think it covers all the chords from the Tracker. I could be wrong.
Here is the full list of 134 variations built on 20 base chords, available in the Play series. Note though that a number of the more exotic chord variations found in the Tracker are not available. It would still be quite useful to include these in the Play options as we have no other way to add these to MIDI tracks on the Play.
— Play Chord Families
Power 4th
Power 5th
Major, +Oct, -Oct, (no5), Inv 1, Inv 2
Minor, +Oct, -Oct, (no5), Inv 1, Inv 2
Dim, +Oct, -Oct, (no5), Inv 1, Inv 2
Aug, +Oct, -Oct, (no5), Inv 1, Inv 2
Sus2, +Oct, -Oct, (no5), Inv 1, Inv 2
Sus4, +Oct, -Oct, (no5), Inv 1, Inv 2
Maj 6th, +Oct, -Oct, (no5), Inv 1, Inv 2, Inv 3
Min 6th, +Oct, -Oct, (no5), Inv 1, Inv 2, Inv 3
Maj 7th, +Oct, -Oct, (no5), Inv 1, Inv 2, Inv 3
Min 7th, +Oct, -Oct, (no5), Inv 1, Inv 2, Inv 3
MinMaj 7th, +Oct, -Oct, (no5), Inv 1, Inv 2, Inv 3
Dom 7th, +Oct, -Oct, (no5), Inv 1, Inv 2, Inv 3
Maj 9th, +Oct, -Oct, (no5), Inv 1, Inv 2, Inv 3, Inv 4
Min 9th, +Oct, -Oct, (no5), Inv 1, Inv 2, Inv 3, Inv 4
Maj 11th, +Oct, -Oct, (no5), Inv 1, Inv 2, Inv 3, Inv 4, Inv 5
Min 11th, +Oct, -Oct, (no5), Inv 1, Inv 2, Inv 3, Inv 4, Inv 5
Maj 13th, +Oct, -Oct, (no5), Inv 1, Inv 2, Inv 3, Inv 4, Inv 5, Inv 6
Min 13th, +Oct, -Oct, (no5), Inv 1, Inv 2, Inv 3, Inv 4, Inv 5, Inv 6
— Tracker Chords (ignore the preceding hex codes)
0 27 Sus2 C - D - G
0 28 Sus2 #5 C - D - G#
0 36 DimTriad C - D# - F#
0 37 Min C - D# - G
0 47 Maj C - E - G
0 48 AugTriad C - E - G#
0 57 Sus4 C - F - G
0 5A Stack4 C - F - A#
0 5C Open4 C - F - C
0 67 Sus #4 C - F# - G
0 7C Open5 C - G - C
0 7E Stack5 C - G - D
0279 Sus2Add6 C - D - G - A
027A Sus2 b7 C - D - G - A#
027B Sus2Maj7 C - E - G - B
0368 Dim7 C - D# - F# - G#
036A Half Dim C - D# - F# - A#
0378 Min b6 C - D# - G - G#
0379 Min6 C - D# - G - A
037A Min7 C - D# - G - A#
037B MinMaj7 C - D# - G - B
0479 Maj6 C - E - G - A
047A Dom7 C - E - G - A#
047B Maj7 C - E - G - B
0489 Aug Add6 C - E - G# - A
048A Aug b7 C - E - G# - A#
048B Aug Maj7 C - E - G# - B
057A Sus b7 C - F - G - A#
057B Su4Maj7 C - F - G - B
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Oh man… this is next level!
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I see too few people are aware of the chord invesrions feature. That’s why one should always read changelogs, because some things are inexplicably missing in the manual.
New MIDI Chord inversions:
- Accessible by pressing Shift while turning the Chord Knob (for all chords except Power 4th/5th)
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I get the feeling they simply didn’t want to list all those variations in the manual.
Worth mentioning that chord inversions are accessible through Shift + Knob I guess? I wasn’t able to find that in the user guide.