When water is referred to as 'hard', this means it contains more minerals than ordinary water. These are especially the minerals calcium and magnesium. The degree of hardness to the water increases when more calcium and magnesium dissolve.
According to the Water Quality Association, hard water contains dissolved minerals above one grain per gallon (GPG), though relative levels of hardness have been established and are as follows:
Soft - less than 1 GPG
Slightly hard - 1 to 3.5 GPG
Moderately hard - 3.5 to 7 GPG
Hard - 7 to 10.5 GPG
Very Hard - 10.5 and higher GPG