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Tests by Gavaleus of Thelanis (Gavaleus#3744)
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U42.4 equalized the damage multipliers among melee, ranged, and spells, and reduced the penalty scaling in high Skulls. (They no longer follow the quadratic scaling of the lower skulls.)
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https://forums-old.ddo.com/forums/showthread.php/506968-Multi-Patch-Update-Preview-Reaper-Difficulty-Changes-and-Tweaks?s=8e75ee1b3eb5766201dabd2cd30801ba
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https://www.ddo.com/update-notes/ddo-update-42-4-release-notes
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U59 increased the penalty scaling in R7-R10 for spells.
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https://forums-old.ddo.com/forums/showthread.php/538079-Lamannia-Update-59-Preview-1-CLOSED#post6579574
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https://www.ddo.com/update-notes/ddo-update-59-release-notes
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Tested on U59
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Melee - Tested with The Balance Beam
Ranged - Tested with Gloaming Philter
Spells - Tested with Greater Ruin
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SkullsDamageMultiplierSkullsDamageMultiplierSkullsDamageMultiplier
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02861210785110276921
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1220020.7689780512160370.7689466311212950.7689946555
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2190840.6669928701252360.66692141132184700.6669796331
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3159080.5559904935343640.55585275763153960.5559728441
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4130180.4549839228435720.45497388874125990.4549689441
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5105860.3699846218529040.36988918615102460.3699985555
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686690.3029847616623780.3028913514683900.3029755886
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771530.25719620.2499044708763690.2299942222
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859510.2079896547816320.2078716087852060.1879965333
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951210.1789808472914040.1788307222941260.1489961
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1044630.15598350341012240.15590370651029350.1059872887
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The true relation is likely as follows:
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Player Melee/Ranged Damage Dealt Multiplier: (R1 to R6) = 20/(Skulls^2 + Skulls + 24) , (R7 to R10) = 5/(4*Skulls – 8)
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Player Spell Damage Dealt Multiplier: (R1 to R6) = 20/(Skulls^2 + Skulls + 24) , (R7 to R10) = [Unsure if formula used]
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The game then rounds the resulting multiplier to 3 decimal places. (When you multiply the damage in Elite by this rounded multiplier and then round that result down, you get the exact value recorded in each Skull.)
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Player Damage Dealt Multiplier:
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SkullsMelee/RangeSpell
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011
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10.7690.769
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20.6670.667
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30.5560.556
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40.4550.455
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50.3700.370
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60.3030.303
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70.2500.230
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80.2080.188
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90.1790.149
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100.1560.106
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It can also be helpful to view the reduction in damage from the perspective of Enemy Effective HP: If you do 1/x times as much damage, enemies take x times as long to kill.
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Player Damage Dealt Multiplier:
Enemy Effective HP Multiplier:
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SkullsMelee/RangeSpellSkullsMelee/RangeSpell
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011011
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10.7690.76911.3003901171.300390117
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20.6670.66721.4992503751.499250375
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30.5560.55631.7985611511.798561151
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40.4550.45542.1978021982.197802198
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50.3700.37052.7027027032.702702703
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60.3030.30363.3003300333.300330033
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70.2500.230744.347826087
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80.2080.18884.8076923085.319148936
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90.1790.14995.5865921796.711409396
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100.1560.106106.410256419.433962264
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