240 troopers, i.e. 30 men per turma, but also gives the number of horses for the ala milliaria, composed of 24 turmae, at 1000. If one subtracts the extra horses of the officers (two for a decurio, one for each of the two subaltern under-officers), one is left with 832 horses, which does not divide evenly with 24. At the same time, Arrian explicitly says that the ala quingenaria counted 512 men, suggesting a size of 32 men for each turma.

As for the legions, during the Principate,