Maximum starting frequency

Input

Maximum starting frequency at no load

f_{s0}

Rotor moment of inertia

J_R

Load moment of inertia

J_L

Inertia ratio

\displaystyle \frac{J_L}{J_R}

Maximum starting frequency

f_s

Reduction rate

\displaystyle \frac{f_s}{f_{s0}}

The self-starting frequency is the highest pulse rate at which the motor can start and stop from rest without ramping. Starting straight in above it makes the motor lose steps, so ramping becomes necessary.
The maximum self-starting frequency with no load, $f_{s0}$ , cannot be calculated. Read it off the self-starting region (pull-in torque curve) in the motor's catalogue and enter it.
Where a gearbox is used, enter $J_L$ referred to the motor shaft.