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Well, I guess I need to throw out about half my jazz records.*****
Well, maybe not half.
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After all, what can anyone add to Gershwin's operatic version of "Summertime" , or "Scrapple From The Apple" after Bird did it? Oh yeah, and all my versions of "St. James Infirmary" and keep only Pops'. And don't you forget to throw out all except one version of Beethoven's 9th. *****
Music can be played / sung by different people with better voices, or a more authentic feel for the music, and perhaps better recording techniques. You can have several versions for several reasons. This applies to all your examples. I have many performances of LvB's 9th, for many reasons. Either I like the playing or the singers, even the tempo(Bohm/Vienna). Some I have just for historical reasons, like Furtwangler at Bayreuth.
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First of all, Julie Andrews' version is not jazz, not to mention its a vocal version; apples and oranges. Coltrane's version, as good as it is, became a "hit" in great part due to the novelty factor. *****
I mentioned Andrews to show the breath of performances available. From the original musical, to Coltrane. And those two stand out. The unwashed made them 'hits'.
No one has ever heard of Brad playing 'Favorite Things'. Someone says 'My Favorite Things', you think Andrews or Coltrane.
Coltrane's version was named a 'Grammy Hall of Fame recording', according to the You tube folks. Not bad for a 'novelty' tune. And let's not forget, Coltrane had Tyner, Jones, and Davis in support.
But, I am nothing, if not fair with a thirst for knowledge, so, I listened to Brad again. From around 2:08 until around 7:00 is just filler. Stalling for time, or, trying to be profound. He picks up 'Favorite Things' again around 7:00. Hardly 'astounding'.
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What Mehldau does with that tune is absolutely astounding and original. Brilliant player. *****
We are all guilty of Hyperbole from time to time.
Cheers