Checking their numbers, they scale like knights against foot units, and only a little bit over half as well as lancers (albeit with more fixed bonus damage) against mounted units, which makes them deal:
- 11(base stats) to 16 (all 3 centurion auras + fervor) damage against [Mounted]
- 16 to 23 damage against [Heavy Cavalry][Slow]
- 14 to 20 damage against:
- [Medium Cavalry], except [Lance]
- [Mounted][Ranged]
- [Chariot]
- 18 to 25 damage against [Heavy Cavalry], except [Slow]
- 22 to 30 damage against [Elephant]
- 6 to 11 damage against [Light Infantry]
- 7 to 13 damage against:
- [Ranged][Flesh and blood]
- [Medium Infantry]
- [Irregular Infantry]
- [Siege machine]
- 8 to 15 damage against [Heavy Infantry]
- 10 to 18 damage against [Armored Siege Machine]
- +50%+4 against [Mounted]
- +95%+9 against [Heavy Cavalry][Slow]
- +85%+7 against:
- [Medium Cavalry], except [Lance]
- [Mounted][Ranged]
- [Chariot]
- +100%+10 against [Heavy Cavalry], except [Slow]
- +120%+14 against [Elephant]
- +90% against:
- [Ranged][Flesh and blood]
- [Melee][Foot]
- [Siege machine]
- [Healer]
- 11 to 17 against [Mounted]
- 18 to 26 against [Heavy Cavalry][Slow]
- 16 to 23 against:
- [Medium Cavalry], except [Lance]
- [Mounted][Ranged]
- [Chariot]
- 20 to 28 against [Heavy Cavalry], except [Slow]
- 25 to 33 against [Elephant]
- 9 to 17 against:
- [Ranged][Flesh and blood]
- [Melee][Foot]
- [Siege machine]
- [Healer]