Hardness of copper vs brass (about the same) shown on Mohs (scratchability) scale (both are about as hard as calcite):
Apparently there are a number of hardness tests for metals, some of the most common being Mohs, Brinell, Rockwell, and Vickers, among others. The Mohs test is, as Oregon has stated, a scratchability test (I don't know how the measurement of scratchability is accomplished) that is primarily used for jewelry. The range is from one (for talc) to 10 (for diamonds); brass is a 3.5 while copper is a 3, so a 0.5-point difference here should be quite significant when one considers that only 10 points separates talc from diamonds. The Brinell, Rockwell, and Vickers tests all impress a sphere or cone into a metal to determine hardness, measuring the resistance to that impression pressure. On the Brinell scale, brass measures 192-202 while copper measures 80-85. On the Rockwell scale, brass measures 93 while copper measures 40-54 .
So, the bottom line still remains, at least for me, that copper is considerably softer than brass and likely will not hold up as well with use.