No don’t raise the 7th. that would make it a major 7 over a minor scale and it doesn’t work over a simple tune like this.
you’re right about the scale/key. You’re in F# minor. this is the original key which is E minor concert.
Do you have the transcript of Candy Dulfer’s solo in Lily Was Here?
I helped a student out with that a couple years ago and remember that it was quite challenging…all sorts of
tuplets with 8’s , 16th notes etc.