It should only say that it is a one ounce gold note, redeemable for one ounce of gold. Originally, a dollar was set at an exact weight in pure silver, based on the most common coin of the time, the Spanish "piece of eight." The dollar was exactly equal to that weight of silver. Period.
All this would do is increase the liquidity of gold. So when I mail in my mortgage payment what do I write on the check? 3.6 oz gold? If the price of gold is not fixed in dollar terms the note will fluctuate in value as the price of gold fluctuates. Unless you want every item for sale and every loan to be denominated in oz of gold. Seems a little clunky.