Hi,
GH just for the sake of GH is irrelevant. GH is a direct measurement of the waters content of Ca and Mg.
Although Magnesium makes up only about 0.2-0.5% of a plants dry mass, it plays a critical role in photosynthesis. That's because the chlorophyll molecule is constructed of a Carbon/Nitrogen matrix surrounding a central Magnesium atom. So right off the bat, poor levels of Mg will have an immediate negative effect on chlorophyll availability/efficiency and on subsequent sugar production.
Mg is also critical to the synthesis of proteins, fats, vitamins and carbohydrates. Mg is a catalyst in the transportation of Phosphate as well as in the use of PO4 in energy storage reactions. These reactions, which are quite common and essential, are referred to as Phosphorylation reactions. Chemical energy in a plant is stored when PO4 ions are bonded to other molecules, and conversely, energy is consumed when the PO4 bond to that molecule is severed.
Mg is also required in the synthesis of DNA/RNA. Mg is also an "activator" of many critical enzymes, particularly those enzymes that are related to carbohydrate metabolism as well as the recycling of some of the waste products of metabolism.
Because of these functions that Mg participates in, a shortage of this element will have far ranging effects. Lower Mg will result in less Chlorophyll. Since the Chlorophyll pigment has a green color, the leaves of a green plant, (particularly the new leaves) will tend to lose their green and to be more yellowish or pale. This would be less obvious on a red plant though. Less Chlorophyll means less food production, so growths rates would suffer. Remember though, that these symptoms are not exclusive to Mg deficiency. There are a lot of different problems that will have an effect on leaf color and growth rates.
Since GH of water consists of both Ca and Mg it is necessary to test for at least one of these and then subtract the test result from the GH value to determine the content of the other. It has been demonstrated by JamesC that it is possible to have water high in GH and at the same time low in Mg (high in Ca). The best method if you don't want to test is to add Mg via Epsom Salts (MgSO4) and to slowly reduce the amounts in order to see if there are any negative results.
Here are a couple of views of the structure of Chlorophyll-a. These pigment molecules are arranged in pairs with their heads (the yellow ring) side by side. This collection of pigments and proteins is called The P680 Complex. The number 680 refers to the longest wavelength of light that the molecules will resonate to - 680 nanometres (Red).
The area marked in red is the area in which the action takes place. You can see at the center of the ring of "Ns" sits the Mg ion. The presence of this metal within the zone gives the characteristic of very loosely bound electrons circulating in that zone. When struck by light the molecule resonates, causing one of those loosely bound electrons to absorb the resonance energy and to be ejected
Here is an iconic view of the molecule showing the orientation of head and tail. Mg is represented by the purple ball. Nitrogen are the blue and Oxygen the Red. Hydrogen are the small cyan balls and Carbon are the grey.
Cheers,