My advise would be to forget about the background for now and get the lighting down first. See how in the very first photo the brightest areas of the coin are washed out? That's because you overexposed the frame. Without getting into technical stuff I would suggest using a different coin. Try as a test using a
nickel from your pocket change - the idea being that you won't be distracted by the ancient coin's beauty and focus instead on your *photography* practice.
Next take that same light and put a diffuser between it and your coin. The job of the diffuser is to break up the light over a wider
area so you don't get those harsh shadows. A
good diffuser is any material that is translucent: not so opaque that it cuts down too much of the light but not so transparent that it fails to break up the light either. Think of the milky panels that cover fluorescent lighting in office settings. Find a broken sheet of that stuff or something similar.
Now take a set of three photos. The first as you normally do where the camera figures out what it feels is the best exposure then the next force it to underexpose by a third stop and the last overexposing, again by one click up (which is normally a third stop). You may already have an exposure bracketing setting which simplifies this step. When you transfer the photos you should be looking for the brightest and darkest areas of the coin. Among the three photos which leaves the most detail around the high points, as opposed to a blur of whitewash? Are the darkest areas so blackened that there is loss of detail?
Other things to consider are shrpness and focus. Unless you can achieve very fast shutter speeds while
still correctly exposing - something on the order of 1/500 sec - your image *will* lose sharpness unless it's mounted firmly. A tripod need only cost a few dollars and pretty much any modern camera should be able to have it take a picture off a timer. These two tips should be enough to get razor
sharp details (assuming a not too crappy lens or that you're inside the minimum focusing distance!)
After you've gotten these down pretty
good, and only then, would I worry about the aesthetics of the background. And, anyway, if you have a coin worthy of being published why not forget the fancy background altogether and leave it white? It'll save some
poor sap from having to tediously lasso it out in photoshop.
Ras