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Not true; GH and KH are independent, in a chemical sense: GH hardness is due to +2 ions (mainly Ca+2 and Mg+2) whereas KH alkalinity is due to carbonate, bicarbonate, phosphate, and other ions that neutralize acids by binding with free H+ ions. With chemicals you can easily create hard water (high GH) with low pH and low KH, or create alkaline water (high KH) with zero GH. (Baking soda will do that). BUT in natural freshwater habitats the majority of GH and KH comes from limestone and similar rocks that dissolve to yield both GH and KH, so they're often fairly close in natural waters.
Another bit of misinformation that probably every aquarist has "read somewhere" is that water with high pH is "alkaline." Even the test kits often use the term "alkaline" when they really mean "basic". A weak solution of NaOH (sodium hydroxide = lye) will have a high pH, but low alkalinity (KH), since it takes just a little acid to neutralize it. KH is really a measure of pH stability (resistance to acid-induced pH change). So, you can have neutral water (pH 7.0) with very high KH, if it is well-buffered with right ions. Make sense?
Another bit of misinformation that probably every aquarist has "read somewhere" is that water with high pH is "alkaline." Even the test kits often use the term "alkaline" when they really mean "basic". A weak solution of NaOH (sodium hydroxide = lye) will have a high pH, but low alkalinity (KH), since it takes just a little acid to neutralize it. KH is really a measure of pH stability (resistance to acid-induced pH change). So, you can have neutral water (pH 7.0) with very high KH, if it is well-buffered with right ions. Make sense?