All answers were consistent and correct.
I was not disagreeing, just elaborating. The measurement from the inside of the wood (not counting the rests) is, as stated, 18 3/8". End to end the "slop" is 1/8" (as Idee said) or 1/16" on each end (as I said) which is the same thing. Side to side the space is 14 3/4" as everyone said and that would make the "slop" side to side, 1" as Blue Bee said. The top bar, as I stated, is 19" which protrudes onto the rests which are inset past that 18 3/8" inside measurement, to 19 1/8" end to end. These are all consistent answers.
End to end the measurements are these, assuming 3/4" boards. Outside 19 7/8". Inside 18 3/8". Inside from rest to rest 19 1/8". Top bar of frame 19".