***TL;DR for you? jump to the bottom of the post for the final conclusion info.
***CRITICAL RATE %
Luck + 10
Built to Destroy + 3
Light Touch + 5
Finesse + 5
1st Recon Beret +5
Ninja x 1.5
33% critical chance.
Perks: Elijah's Rambling + Better Criticals: +200% Crit Damage.
***WEAPON COMPARISION
HIGH CRIT MULTIPLIER WEAPONS
Figaro-------------------(x4 multi) (dam 11) (crit 16) (aps 4.64)
Liberator----------------(x3 multi) (dam 18) (crit 18) (aps 3.47)
Cosmic Knife SH----(x5 multi) (dam 14) (crit 14) (aps 3.00)
Shovel-------------------(x3 multi) (dam 12) (crit 20) (aps 1.65)
Chance's Knife-------(x2 multi) (dam 22) (crit 22) (aps 4.15)
Shishkebab-----------(x2 multi) (dam 40) (crit 20) (aps 2.31)
(Crit Multiplier) (Base Damage) (Critical Damage) Attacks Per Second)
After getting all the requried skills:
DPS:
Chance's Knife-----316* with Cowboy and Grunt Perks
Figaro-----------------273
Liberator--------------249
Shishkebab---------232* with Pyromaniac Perk
Cosmic Knife SH-168
Shovel-----------------118
Typical formula for the ones that ALWAYS critical (Any weapon with 3 Critical chance OR higher.
Base Damage + (Critical Damage + Critical Damage x200%) x APS = DPS
Formula for Chance's Knife and Shiskebab:
Crit Chance x 2 = 66%
APS x .66 = Critical Damage APS
APS x .34 = Normal Damage APS
(Base Damage x Normal Damage APS) + (Base Damage + [Critical Damage + Critical Damage x 200%] x Critical Damage APS) = DPS
Figaro as example.
Figaro, at x4 multiplier, will always critical.
[Dam 11 + (Crit 16 + 200% Crit) x (APS 4.64)] =
11 + 48 x 4.64 = 273. DPS
Chance's Knife
At 2x miltiplier crit, with a 33% base crit = 66% crit chance,
With a 4.15 APS rate
4.15 = 100%
2.73 = 66% Crits
1.41 = 34% Normal
With Cowboy and Grunt perks, base Damage goes from 22 to 33.
[Dam 33 x (APS 1.41)] + [Dam 33 + (Crit 22 + 200% Crit) x (APS 2.73)] =
46.53 + 270.27 = 316 DPS
Shishkebab
At 2x miltiplier crit, with a 33% base crit = 66% crit chance.
With a 2.31 APS rate
2.31 = 100%
1.52 = 66% criticals
0.78 = 34% normal hits
With Pyromanic, Base Damage becomes 60.
[Dam 60 x (0.78)] + [Dam 60 + (Crit 20 + 200% Crit) x (APS 1.52)] =
46.80 + 182.40 = 229 DPS + 3 from Burning Effect with Pyromanic = 232 DPS
*** LOWER CRITICAL MULT WEAPONS
Oh, Baby!-----------------(x1 multi) (dam 80) (crit 40) (aps 1.73)
Dress Cane---------------(x1 multi) (dam 22) (crit 35) (aps 5.00)
Nephi's Golf D-----------(x1 multi) (dam 21) (crit 30) (aps 2.29)
Machete Gladius------(x1.5 multi)(dam 28) (crit 28) (aps 3.50)
Knock-Knock------------(x1 multi) (dam 66) (crit 33) (aps 2.00)
Blade of the E.----------(x1 multi) (dam 41) (crit 98) (aps 1.56)
DPS:
Dress Cane----------283
Machete Gladius---241
Blade of the E-------213
Oh, Baby! ------------208
Knock-Knock--------197
Nephi's Golf D-------115
Same formula for every weapon here, just adapted to every weapon in here except for Gladius.
Crit Chance x 1 = 33%
APS x .33 = Critical Damage APS
APS x .67 = Normal Damage APS
(Base Damage x Normal Damage APS) + (Base Damage + [Critical Damage + Critical Damage x 200%] x Critical Damage APS) = DPS
Example:
Dress Cane, 1 in every 3 = crit.
With APS of 5
5 = 100%
1.65 = 33% Criticals
3.35 = 67% Normal
[Dam 22 x (APS 3.35)] + [Dam 22 + (Crit 35 + 200% Crit) x (APS 1.65)] =
73.70 + 209.55 = 283 DPS
Formula for Machete Gladius:
Crit Chance x 1.5 = 49.5%
APS x .49 = Critical Damage APS
APS x .51 = Normal Damage APS
(Base Damage x Normal Damage APS) + (Base Damage + [Critical Damage + Critical Damage x 200%] x Critical Damage APS) = DPS
Machete Gladius
At 1.5x miltiplier crit, with a 33% base crit = 49.5% crit chance.
With a 3.5 APS rate
3.5 = 100%
1.71 = 49% Criticals
1.78 = 51% Normal
[Dam 28 x (APS 1.78)] + [Dam 28 + (Crit 28 + 200% Crit) x (APS 1.71)] =
49.84 + 191.52 = 241 DPS
***TL;DR SECTION
FINAL DPS of these Melee Weapons with the right Perks, Items and SPECIAL.
DPS:
Chance's Knife---------316* with Cowboy and Grunt Perks
Dress Cane-------------283
Figaro---------------------273
Liberator------------------249
Machete Gladius------241
Shishkebab-------------232* with Pyromaniac Perk
Blade of the E---------213
Oh, Baby! --------------208
Knock-Knock----------197
Cosmic Knife SH-----168
Shovel--------------------118
Nephi's Golf D---------115
So, if my math is right (which I'm very damn sure it is right after a few tries) There are 5 weapons that are indeed more powerful than the Shishkebab even after Pyromaniac.
Also, if you were to make a non-crit constant-damage build. Chance's Knife DPS would be only around 150 give or take depending on if you have high/low luck, some perks, same goes for the Cane and I'm asuming they all would keep dropping. Perhaps Oh Baby and Blade of East might become stronger, but I'm not going there. I'm pretty convinced after doing all this math.
Posting this in order someone finds a mistake or a flaw in my math so I can fix and check again. But I'm pretty sure it's all good.