What does being money consist in? We argue that something is money if, and only if, it is typically acquired in order to realise the reduction in transaction costs that accrues in virtue of agents coordinating on acquiring the same thing when deciding what thing to acquire in order to exchange. What kinds of things can be money? We argue against the common view that a variety of things (notes, coins, gold, cigarettes, etc.) can be money. All monetary systems are best interpreted as implementing the same basic protocol. Money, i.e. the thing that we coordinate on acquiring in order to lower our transaction costs, is, in all cases, a set of positions on an abstract mathematical object, namely a relative ratio scale. The things that we ordinarily call ‘money’ are merely records of positions on such a scale.