[Edit: I replaced "free jazz" by "improvised music".]
Are there legendary recordings of improvised music that have been replayed note-by-note by another band – either by notating and playing the piece by sight-reading (possibly after some rehearsals) or from "perfect memory"?
I wonder if and why anyone would have found this a worthwile undertaking. And I am especially interested if one (or who) could hear the difference, tell which one was the orginal (without having known the original before), and which one was "better".
I know that there are "precisely notated transcriptions of musical excerpts from a large discography of free jazz [= improvised music] recordings", e.g. by Austrian musicologist Ekkehard Jost, but I wonder if these have ever been replayed.
See also "Giant Steps" by John Coltrane:

