I'm not an expert yet

, but I have been having some good results lately so I will give an input anyone can step on if they wish....I think the first thing I realized is LIGHTING LIGHTING LIGHTING...is a very key factor...as you know I'm sure..however..there is a great difference on how to approach a particular coin and I SHOULD SAY the type of metal..copper VS silver for example are at extreme differences in there requirements...
My first impression is you have too much light...
But that's not actually correct....
The cameras 3 main setting points interpret what they think they see and you get (your picture)what it thinks is best for you...
Those 3 things are,, ISO shutter speed and the F stop value ....only lately have I actually seen on screen seen the actual differences in the settings before taking pictures using the cameras live view funtion, which not all cameras have..however.. its the knowledge of these settings and which way you tweak them, and what the outcome will be... For example...I used to think I needed the lower
F stop and higher shutter speed on shiny coins..I was trying to hit or fix the shutter at say 800 to say 1500
out come was ok on shiny UNC coins...
Practical application reveals I needed lower shutter speeds
however,, After a week of playing..I then dropped the speed to around 650 or so.... there is a point as you lessen the shutter speed say to 500 then to 300 WITH my present settings, the coin was to overlit and had the washed out look as your coins do...when I lowered or slowed my shutter speed down...TO much light..
Most cameras control the shutter speed do to the aperture setting you may choose, it allows more or less light on the coin.
depending on the type of coin you are shooting...there is a balance ....Having full manual control over the camera is a must or it takes a bazillion guess shots to get one good one....I leave all my settings as is and change one feature at a time to review the results to see if I am going in the right direction.....I don't think its the lights your using right now but rather how your settings are at the moment...
are using the light source...Dave and Ray could give you some better general reference starters , say ISO and F stop For copper and old nickles settings by which you can slowly alter.. If your using a point an shoot camera,, try the white balance and reduce the light settings and see your results...hope this helps...