How fast you swing or shoot depends on the Attack Speed skill (shown as Fist on this server). Higher skill = shorter time between attacks.
Example at skill 100: 2000 − 800 = 1200 ms (~0.83 hits/sec). Example at skill 200: 2000 − 1600 = 400 ms → maximum speed.
Skill for cap: (2000 − 400) / 8 = 200. Above 200 stays at 400 ms.