There are 2 frequencies, you need to know.
1) The pulse frequency of an adjustable high and low current setting on your tig machine ac or dc.
Instead of having one fixed amperage that makes your puddle grow as you move on.
You can set a high and a low setting as well as how fast they will change. THe benefit is that you can have good penetration with less heat input. Less heat input has less distortion, less danger for burn through, with reduced HAZ (heat affected zone).
2) And the AC frequency on AC/DC machines...
DC has no frequency cuz its Direct current.
But the AC Frequency can be adjusted, as to how many times the current will Alternate.
Increasing the frequency narrows the shape of the arc cone and increases the arc force. This stabilizes the arc, reduces arc wandering and provides excellent directional control over the arc. A god example where we might need High AC freq is at a T- joint
At low frequencies the pulses are related to and should be matched to travel speed. For autogenous work you can get quite radical with the settings, if filler is used then pulse rate needs to be low enough to allow time to add the filler during the 'peak pulses'
Some kit can pulse the arc at several hundred (or even thousands) Hz. This has the effect of 'constricting' the arc- better arc focus and a stiffer, more stable arc at low amperages. Also results in improved grain structure apparently.