This thread has been dormant for a while so I thought maybe I could kick it alive again, just so that you add more great recommendations on it. For my part, I would recommend Nyeusi, a new band I just discovered. Main man is drummer extraordinaire Justin Brown. One track from their album:
The Bandcamp page for the band is here.
Finally, a live set from the Boiler Room in NY:
I am not 100% sure the music would qualify as minimalistic jazz but then I feel that this thread has other recommendations in the same vein.
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