This doesn't really answer your question but this is the definition.
General Hardness (GH) and Carbonate Hardness (KH)
Water hardness is simply the measure of the amount of dissolved salt minerals present in aquarium water. Hard water contains more dissolved mineral salts than soft water. If you live in an area with soft water... consider yourself very lucky!
General hardness is the measure of the amount of dissolved
calcium and
magnesium. Carbonate hardness is important to maintaining a stable
pH. Most freshwater tropical aquarium fish prefer a KH of 2° to 8°.
Carbonate hardness is the measure of the amount of dissolved carbonate or bicarbonate. Most freshwater tropical aquarium fish are content with a GH of 3° to 10°.