  Some recent papers have argued that frequency should have the dimensions of
angle/time, with the consequences that 1 Hz = $2\pi$ rad/s instead of 1
s$^{-1}$, and also that $\nu = \omega$ and $h = \hbar$. This letter puts the
case that this argument redefines the quantity frequency and then draws
conclusions from equations that rely on the standard definition being used. The
problems that this redefinition is designed to address arise from the
widespread unstated adoption of the Radian Convention, which treats the radian
as a dimensionless quantity equal to the number 1, in effect making the radian
a hidden unit. This convention is currently built-in to the SI, when it should
be separable from it. The unhelpful status of angles in the SI can be remedied
with minimal disruption by (1) changing the definition of the radian from a
radian equals 1 m/m to e.g. a right angle equals $\pi/2$ radians, and (2)
acknowledging that the adoption of the Radian Convention is acceptable, when
made explicit. The standard definitions of frequency and the hertz should
remain unchanged.
