The BBC has made two tracks from John Coltrane Both Directions At Once: The Lost Album, broadcast on the Gilles Peterson Radio 6 show, available. They are by the quartet of McCoy Tyner, Jimmy Garrison, and Elvin Jones recorded on March 6, 1963 at the Van Gelder Studios in Englewood, New Jersey. Release date on Impulse! is 29 June. Background here.
Nature Boy starts at [01:45] (piano-less trio)
A minor blues named by Bob Thiele as 11383 (original)" starts at [09:05] (with a curious switch in balance/mic at 10:53