The lighting angle is better, especially on the Morgan. I suspect the camera is a bit farther from the coin on the Morgan, and the coin is a bigger, so the angle is a bit higher. Higher on the Kennedy would help further.
Overall you are a bit overexposed. Are you using auto exposure with compensation? I would suggest using aperture priority mode, f5.6 or f6.7 (even f8 for the Morgan), and then go even further negative with compensation. What is you compensation setting for the Morgan?
The highlights are pretty extreme on the Kennedy. Since it's a proof, other techniques such as ring lighting or axial lighting may give you a better result. Higher (angle) lights will help, and you may need to do some diffusion to reduce the hotspotting. The Morgan doesn't appear to need any further diffusion.
You're on the right track!
edited to add...the Kennedy exposure may be OK with a bit of diffusion. The overexposure I am seeing is mostly on the Morgan...
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Edited by rmpsrpms
07/31/2013 08:36 am