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Gran Tarajal has black sand beaches and some small pebbles - it does not have white sand. For that you need to travel either north of south.
A quick check on google earth or even a search for Gran Tarajal images will prove this article incorrect.....
If you plan to stay somewhere down south, then Gran Tarajal really is worth a visit, with a lovely Canarian feel, this is not a purpose built tourist resort and has real ´locals´ feel to it. Sit in the tree lined square with a coffee (or beer) and watch the world go by.