Page of basic 4:3 tuplet rhythms in 4/4 time— four quarter notes in the space of 3— with rests:
I don’t know what we’re calling the rhythm when written this way, but what it is is dotted 8th notes. I see them a lot in people’s original jazz tunes, and usually it suggests a floated rhythm in a swing or in a straight 8th ECM-type feel environment. In a real defined 16th note rhythm environment, I would more often expect the same rhythms to be written out normally as non-tuplet 8ths/dotted 8ths/16th notes/rests.
Here is the key— the same rhythm in equivalent values, and the played rhythm for the rests on each partial of the tuplet: