Juice limes. Add tartaric acid and stir to combine.
Use a fine grater to get zest from two of the limes.
Add sugar, zest and water to a saucepan. Stir over medium-high heat until the sugar dissolves and the mixture just starts to simmer. This should take about 5 minutes. Remove mixture immediately as it starts to simmer.
Pour sugar mixture over lime juice and leave for 15 minutes.
Strain mixture using a muslin cloth, pour into a bottle and place the lid on the bottle.
Allow to cool and store in the pantry for up to 6 months. Or pop it in the fridge to enjoy immediately.
Enjoy mixed with water or soda water, using 1 part cordial to 4 or 5 parts water.