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A tetrose is a monosaccharide with 4 carbon atoms.
They either have an aldehyde functional group in position 1 (aldotetroses) or a ketone functional group in position 2 (ketotetroses).
The aldotetroses have two chiral centres ("asymmetric carbon atoms") and so 4 different stereoisomers are possible.
The naturally occurring aldotetroses are:
The only naturally occurring ketotetrose is D-erythrulose.
See also
"Tetrose"