The in-game descriptions of abilities and traits are renowned for their clarity, specificity, and transparency, and that for Tomahawk, a Group 2 warrior ability, is no exception.
Tomahawk "expends a throwing tomahawk to inflict a special defense down effect on an enemy," with "special defense down" being understood as a temporary reduction of any "direct" damage mitigation properties the enemy may have. Note that this is different from defense rating. For example, any blunt damage on slimes is reduced by 3/4, to 1/4 of the full physical damage, and Tomahawk reduces this 3/4 factor by some amount. Similarly, any magic damage on ahrimans is reduced by 1/4, to 3/4 of full magic damage), with Tomahawk reducing this 1/4 factor by some amount.
According to the wiki.fo.jp article entry, Tomahawk provides a 25-percent reduction of the direct damage mitigation factor. This seems to make sense given experiences with Tomahawk in SE Apollyon, where mobs have low defense ratings but immunity to a specific damage type that seems to be "damage taken -100%," to use the in-game descriptions of damage-reduction properties, yet Tomahawk does not remove the "immunity" completely.
Similarly, elementals in Temenos apparently exhibit a 25% reduction in physical and magic damage, which itself is reduced to 18.75% in the presence of the Tomahawk effect. Consequently, the observed percent increase in damage is only 8.33%.
Finally, Jailer of Temperance is yet another example of Tomahawk having some effect. Given that Tomahawk (supposedly) works on the likes of Ouryu ("Ouryu Cometh"), which normally takes a 50% cut to magic damage, it would have been very helpful to me to have someone test Tomahawk on the T4 ZNMs for possible direct magic damage reduction.
To compare the Tomahawk effect for various monster types known to exhibit a so-called resistance to certain physical damage types, a table of damage reduction factors for slashing-type damage modified by Tomahawk is presented.
Damage penalty multipliers for slashing
| Family | Before Tomahawk | After Tomahawk |
| Elementals | .250 | .4375 |
| Flans (normal) | .875 | .90625 |
| Flans (spiked) | .375 | .53125 |
| Ghosts | .750 | .8125 |
| Hecteyes | N/A | N/A |
| Leeches | N/A | N/A |
| Mimics | .500 | .625 |
| Skeletons | .875 | .90625 |
| Slimes | .500 | .625 |
Consequently, the relative increase in damage from Tomahawk increases with the magnitude of the original reduction.
Physical damage increase (%) for slashing under the effect of Tomahawk
| Family | Dmg increase (%) |
| Elementals | 75.00% |
| Flans (normal) | 3.57% |
| Flans(spiked) | 41.60% |
| Ghosts | 8.33% |
| Hecteyes | N/A |
| Leeches | N/A |
| Mimics | 25.00% |
| Skeletons | 3.57% |
| Slimes | 25.00% |
As OCD types are mainly preoccupied with percent changes (even relative increases based on crap), the following table of may be a useful summary for them.
Physical damage increase (%) under the effect of Tomahawk
| Family | H2H (blunt) | Impact (blunt) | Slashing | Piercing |
| Elementals | 75.00% | 75.00% | 75.00% | 75.00% |
| Flans (normal) | 8.33% | 8.33% | 3.57% | N/A |
| Flans (spiked) | 75.00% | 75.00% | 41.66% | 25.00% |
| Ghosts | 25.00% | 25.00% | 8.33% | 8.33% |
| Hecteyes | 8.33% | 8.33% | N/A | N/A |
| Leeches | 8.33% | 8.33% | N/A | N/A |
| Mimics | 25.00% | 25.00% | 25.00% | 25.00% |
| Skeletons | N/A | N/A | 3.57% | 25.00% |
| Slimes | 75.00% | 75.00% | 25.00% | 25.00% |
I could do the same for magic damage, but you get the idea. A quick inspection of the above table shows that using Tomahawk on flans (normal mode) and skeletons yields a relatively small increase in slashing-type damage.
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