Heres the gearing: H22 in blue, f22 in black (sorry it wont line up)

F22 engine (M2L5 tranny) - H22 engine (M2F4 tranny)
1- 3.307 1- 3.307
2- 1.810 2- 1.950
3- 1.230 3- 1.360
4- .903 4- 1.071
5- .705 5- .870
Final Drive - 4.062 Final Drive - 4.266

The main differnece - the f22 tranny has "longer" gears. The f22 tranny will bolt up to a h22, but you are better off with a h22 tranny. The longer gears may cause you to drop out of vtec, even when shifting at redline, which is exactly the opposite of what you want to happen. You dont want to drop out of your power band every time you shift. For refference - the h23 tranny is geared in between these two. Bottom line, stick with the h22 tranny