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Updated Shadow DPS Calcs

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Apr 2nd, 2025
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  1. Gear Changes:
  2. Occult Necklace: 5% -> 7%
  3. Tormented Bracelet: 5% -> 7%
  4. Imbued God Cloak: 2% -> 3%
  5. Magus Ring: 2% -> 3%
  6. Ancestral Pieces: 3% -> 5%
  7. Eternal Boots and Elidinis Ward (f): Unchanged
  8.  
  9. Max Mage % bonus: 24 -> 36
  10. Shadow Multiplier: 3x -> 2x
  11. Shadow Multiplier in toa: 4x -> 3x
  12.  
  13. Sanguinesti Staff max hit 99 mage: 32 -> 30
  14. Trident of the Swamp max hit 99 mage: 31 -> 29
  15. Trident of the Seas max hit 99 mage: 28 -> 26
  16.  
  17. DPS calcs:
  18.  
  19. m=Effective magic level
  20. r=Effective resistance level
  21. a=Effective accuracy bonus
  22. d=Effective defense bonus
  23. A=Accuracy roll
  24. D=Defense roll
  25. H=Hit Chance
  26.  
  27. Accuracy formula:
  28. Higher accuracy roll: H = 1-[D+2/(2A+2)]
  29. Lower accuracy roll: A/(2D+2)
  30. DPS formula: H x (max/2)/weapon speed* (2.4 for sang, 3 for shadow)
  31.  
  32. *Slightly inaccurate due to the clamping of 0s as 1s. This formula simplifies it for the sake of quick calculation by assuming average of 1 to max hit. All DPS in the doc is accurate to a reasonable degree, but may be off by minor amounts compared to real game.
  33.  
  34. DISCLAIMER: It is impossible to keep all Shadow DPS exactly the same because monster stats can only be integers. There will be some scenarios where the Shadow walks out marginally better or worse than before. That said, in all of these situations, its DPS sits within .1 of its current.
  35.  
  36. Note: All ToA calculations are performed assuming a raid level of ZERO. Because of the mechanics of ToA, raising the raid level will raise the monster's stats in a linear pattern which should trail off DPS in the same pattern as it currently does. I can do calculations at specific raid levels upon request.
  37.  
  38.  
  39. Graardor Defense roll: 89m x 362d = 32218
  40. Zilyana Defense roll: 309m x 164d = 50676
  41. Muspah melee defense roll: 159m x 98d = 15582
  42. Akkha Defense roll: 109m x 74d = 8066
  43. Wardens P3 Defense roll: 159m x 84d = 11766
  44. Olm Right Claw defense roll: 96m x 114d = 10944
  45. Whisperer defense roll: 189m x 74d = 13986
  46.  
  47. Current Max Mage Shadow Accuracy roll: 556a x 148m = 82288
  48. Inside toa: 720a x 164m = 118080
  49. Inside cox: 556a x 158m = 87848
  50.  
  51. Updated Max Mage Shadow Accuracy roll (0 bonus): 322a x 148m = 47656
  52. Inside toa: 451a x 164m = 73694
  53. Inside cox: 322a x 158m = 50876
  54.  
  55. Updated Max Mage Shadow Accuracy roll (35 bonus): 392a x 148m = 58016
  56. Inside toa: 492a x 164m = 80688
  57. Inside cox: 392a x 158m = 61936
  58.  
  59.  
  60. Current Max Mage Hit Chance vs Graardor: 1-.195 approx. 80.5%
  61. DPS: approx. 8.86
  62.  
  63. Current Max Mage Hit Chance vs Zilyana: 1-.308 approx. 69.2%
  64. DPS: approx. 7.61
  65.  
  66. Current Max Mage Hit Chance vs Muspah: 1-.095 approx. 90.5%
  67. DPS: approx. 9.96
  68.  
  69. Current Max Mage Hit Chance vs Akkha: 1-.034 approx. 96.6%
  70. DPS: approx. 13.2
  71.  
  72. Current Max Mage Hit Chance vs Wardens P3: 1-.05 approx. 95%
  73. DPS: approx. 12.98
  74.  
  75. Current Max Mage Hit Chance vs Olm Right Claw: 1-.062 approx. 93.8%
  76. DPS: approx. 11.26
  77.  
  78. Current Max Mage Hit Chance vs Whisperer: 1-.085 approx. 91.5%
  79. DPS: approx. 10.07
  80.  
  81.  
  82. Because player's effective magic level and NPC's effective magic defense bonus are constants, DPS is maintained by the ratio of player accuracy + 64 to opponent's magic + 9.
  83.  
  84. 0 bonus shadow:
  85. Graardor: 556/89 = 6.247. Resistance level of 43 needed to maintain dps at 322/51
  86. Accuracy: approx. 80.6%
  87.  
  88. Zilyana: 556/309 = 1.799. Resistance level of 170 needed to maintain dps at 322/179
  89. Accuracy: approx. 69.2%
  90.  
  91. Muspah: 556/159 = 3.497. Resistance level of 83 needed to maintain dps at 322/92
  92. Accuracy: approx. 90.5%
  93.  
  94. Akkha: 720/109 = 6.605. Resistance level of 59 needed to maintain dps at 451/68
  95. Accuracy: approx. 96.6%
  96.  
  97. Wardens P3: 720/159 = 4.528. Resistance level of 91 needed to maintain dps at 451/100
  98. Accuracy: Approx. 94.3%
  99.  
  100. Olm Right Claw: 556/96 = 5.792. Resistance level of 47 needed to maintain dps at 322/56
  101. Accuracy: approx. 93.3%
  102.  
  103. Whisperer: 556/189 = 2.942. Resistance level of 100 needed to maintain dps at 322/109
  104. Accuracy: approx. 91.5%
  105.  
  106.  
  107. 35 bonus shadow:
  108. Graardor: Resistance level of 54 (392/63)
  109. Accuracy: approx. 80.4%
  110.  
  111. Zilayana: Resistance level of 209 (392/218)
  112. Accuracy: approx. 69.2%
  113.  
  114. Muspah: Resistance level of 103 (392/112)
  115. Accuracy: approx. 90.5%
  116.  
  117. Akkha: Resistance level of 66 (492/75)
  118. Accuracy: approx. 96.6%
  119.  
  120. Wardens P3: Resistance level of 100 (392/109)
  121. Accuracy: approx. 94.3%
  122.  
  123. Olm Right Claw: Resistance level of 59 (392/68)
  124. Accuracy: approx. 93.3%
  125.  
  126. Whisperer: Resistance level of 124 (392/133)
  127. Accuracy: approx. 91.5%
  128.  
  129.  
  130. Sanguinesti Staff:
  131. All calcs 99 magic + Elidinis ward (f) + Augury + Saturated heart in max mage (overload or salt for raids bosses)
  132.  
  133. Current Max hit: 47 (36x(1.29+.04)
  134. Updated Max hit: 49 (34x(1.41+.04)
  135. Accuracy Roll: 243a x 148m = 35964
  136. in toa: 243a x 164m = 39852 (max 53, approx. 55 with update)
  137. in cox: 243a x 158m = 38394 (max 51, approx. 53 with update)
  138.  
  139. Current hit chance and dps vs bosses:
  140.  
  141. Graardor: 1-.448 approx. 55.2%
  142. DPS: approx. 5.4
  143.  
  144. Zilyana: .355 approx. 35.5%
  145. DPS: approx. 3.47
  146.  
  147. Muspah: 1-.217 approx. 78.3%
  148. DPS: approx. 7.67
  149.  
  150. Akkha: 1- .101 aprox. 89.9%
  151. DPS: approx. 9.92
  152.  
  153. Wardens P3: 1-.148 approx. 85.2%
  154. DPS: approx. 9.41
  155.  
  156. Olm Right Claw: 1-.142 approx. 85.8%
  157. DPS: approx. 9.1
  158.  
  159. Whisperer: 1-.194 approx. 80.6%
  160. DPS: approx. 7.89
  161.  
  162.  
  163. Updated hit chance and dps (Resistance levels with 0 accuracy shadow):
  164. Graardor Defense roll: 51r x 362d = 18462
  165. Zilyana Defense roll: 179r x 164d = 29356
  166. Muspah melee defense roll: 92r x 98d = 9016
  167. Akkha Defense roll: 68r x 74d = 5032
  168. Wardens P3 Defense roll: 100r x 84d = 8400
  169. Olm Right Claw defense roll: 56r x 114d = 6384
  170. Whisperer defense roll: 109r x 74d = 8066
  171.  
  172.  
  173. Graardor: 1-.286 approx. 74.3%
  174. DPS: approx. 7.56
  175.  
  176. Zilyana: 1-.408 approx. 59.2%
  177. DPS: approx. 6.04
  178.  
  179. Muspah: 1-.125 approx. 87.5%
  180. DPS: approx. 8.93
  181.  
  182. Akkha: 1-.063 approx. 93.7%
  183. DPS: approx. 10.73
  184.  
  185. Wardens P3: 1-.105 approx. 89.5%
  186. DPS: approx. 10.25
  187.  
  188. Olm Right Claw: 1-.083 approx. 91.7%
  189. DPS: approx. 10.12
  190.  
  191. Whisperer: 1-.112 approx. 88.8%
  192. DPS: approx. 9.06
  193.  
  194. Updated hit chance and dps (Resistance levels with 35 accuracy shadow):
  195.  
  196. Graardor Defense roll: 63r x 362d = 22806
  197. Zilyana Defense roll: 218r x 164d = 35752
  198. Muspah melee defense roll: 112r x 98d = 10976
  199. Akkha Defense roll: 75r x 74d = 5550
  200. Wardens P3 Defense roll: 109r x 84d = 9156
  201. Olm Right Claw defense roll: 68r x 114d = 7752
  202. Whisperer defense roll: 133r x 74d = 9842
  203.  
  204. Graardor: 1-.317 approx. 68.3%
  205. DPS: approx. 6.97
  206.  
  207. Zilyana: 1-.497 approx. 50.3%
  208. DPS: approx. 5.13
  209.  
  210. Muspah: 1-.153 approx. 84.7%
  211. DPS: approx. 8.65
  212.  
  213. Akkha: 1-.07 approx. 93%
  214. DPS: approx. 10.66
  215.  
  216. Wardens P3: 1-.115 approx. 88.5%
  217. DPS: approx. 10.14
  218.  
  219. Olm Right Claw: 1-.101 approx. 89.9%
  220. DPS: approx. 9.93
  221.  
  222. Whisperer: 1-.137 approx. 86.3%
  223. DPS: approx. 8.81
  224.  
  225.  
  226.  
  227.  
  228. Harmonized Nightmare Staff Max hit Surge Spells, 95 Magic:
  229. Base: 24 x (1.45 + .04 + .15) = 39
  230. 50% Elemental Weakness: 51
  231. 100% Elemental Weakness: 63
  232. Extrapolate between
  233.  
  234. Fire Surge, Tome of Fire:
  235. Base: [24 x (1.4 + .04 + .15)] x 1.1 = 41
  236. 50% Fire Weakness: 56
  237. 70% Fire Weakness: 60
  238. 100% Fire Weakness: 69
  239.  
  240.  
  241. Harmonized Nightmare Staff + Tome of Fire vs PNM Totem:
  242. Calc assumes a Resistance level of 1 (matches its current magic level).
  243. Totem Defense roll: 64?* x 10 = 640
  244. Harm accuracy roll: 153a x 148m = 22644
  245. Harm Max hit: 60
  246. Accuracy: 1-.014 approx. 98.6%
  247. DPS: approx. 12.325
  248.  
  249. Updated Shadow (0) accuracy roll: 322a x 148m = 47656
  250. Shadow Max hit: 66
  251. Accuracy: 1-.007 approx. 99.3%
  252. DPS: approx. 10.923
  253.  
  254. Updated Shadow (35) accuracy roll: 392a x 148m = 58016
  255. Accuracy: 1-.005 approx. 99.5%
  256. DPS: approx. 10.945
  257.  
  258. *The Totem does not have a known defensive bonus value listed on the wiki. Assumed to be 0 for this calculation. As it goes lower, the harm gets better. I find it very unlikely to be a positive value.
  259.  
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