An injection device incorporating a dose setting mechanism is presented where the dose setting mechanism contains a dose selector having one or more dose stops corresponding to a finite set of predetermined fixed doses, where the set of finite predetermined fixed doses includes a lowest fixed dose and one or more higher fixed doses, and where at least one of the one or more higher fixed doses is equal to the lowest fixed dose plus a fractional amount of the lowest fixed dose. The dose setting mechanism can further include a floating spline that is rotationally engaged with a snap element such that the snap element can rotate relative to the floating spline during both dose setting and dose delivery.