Typically you will not need to use many mics for this style of drum set. The kick is not the main time-keeper. The hat or bass keeps the time. The snare is played with lots of dynamics and accents. The kick is also used to accent the rhythm. A stereo pair over the drummers seating area and maybe a mic on the front of the kick 2 to 4 inches is all you’ll need. It’s about the whole sound of the drum set not the individual drums, like in rock. Do not even think of trying to muffle the drums. You will get evil looks from the drummer. 😉
What are YOUR favorite live jazz recording techniques?