I am not even close to be considered knowledgeable in Discus care, but what little reading that I have done suggests that they are really not that much different than other fish in regards to water quality parameter with the exception of when they are breeding and then it is a question of egg and larvae survival. For display purposes,the same water quality parameters that suffice3 for most other fish works well for them.
My concern in regards GH and KH is that if KH is low 20 ppm or less, pH becomes very unstable and crashes are common place. No fish, including Discus, benefit from these events.....very stressful.
GH is important because it measures the level of all of the dissolved mineral in a water column, not just carbonate (KH). These various minerals are quite important to the overall health of all fish, GH also , simply put, bolsters, KH.
Here is some basic info (most, if not all, you may already know).
PH
Display – 6.5 – 7.5
Breeding – 5.5 – 6.5
Grow-Out – 6.8 – 7.5
Hardness:
Display – 10–15 GH, 5-8 KH
Breeding – 1-4 GH, 0-1 KH
Growing-Out – 8-15 GH, 5-8KH
http://www.aquaticcommunity.com/aquariumforum/showthread.php?t=54196
Discus require very soft water and there are numerous commercially available products that claim to reduce water hardness. However, before trying commercial products, there are some other methods you may choose to try. Before we go into detail about how to reduce the GH of your water, we suggest that you first test the GH of your tap water so that you have a starting point. The GH of your discus aquarium will vary depending on the reason why you’re keeping them. Note that the lower the GH of the water, the more unstable the PH. So although a lower GH may be necessary for some types of discus aquariums, make sure that it’s not lower than it needs to be. In order to breed, discus require very soft water with a GH
between 1 and 3. Once your Discus are no longer fry and are in a separate rearing tank, you should raise the GH to 8-12 over a period of at least one week. Your young discus will develop much better in an environment potent with minerals. If you have no interest in breeding, then a GH of 8-12 provides a perfect balance between PH stability and mineral richness.
Carbonate Hardness (KH) is similar to general hardness. However, instead of measuring calcium and magnesium ions, it measures carbonate and bicarbonate ions. The higher the KH, the more stable the PH. Although KH is indeed beneficial, excess KH will stress your discus.
For that reason, KH must be maintained at a stable and suitable level at all times. The KH needs to be at a level where it won’t affect the breeding patterns of your discus. We recommended a KH of 1 - 2 for breeding tanks. Display tanks, however, are best suited to a KH of between 5 - 8, as this makes the PH far more manageable. The same principle of GH in rearing tanks applies to KH. The KH needs to be gradually raised so that the juveniles can benefit from the minerals that a higher KH provides. Gradually raising the KH will also help to stabilize the PH, as juveniles are extremely delicate to any changes in their water conditions. A KH of 5 - 8 in a rearing tank is ideal for growth and PH management.
https://www.discus.com/learning-center/water/general-water-hardness-gh.html