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Here is a selection of some of the skills that have been updated. The full list will be included in the patch notes.

Absolution: Now deals 21 to 31 Physical Damage at gem level 1 (unchanged), up to 873 to 1310 at gem level 20 (previously 588 to 882). Now has 200% Effectiveness of Added Damage at all gem levels (previously 130%).
Arc: Now deals 6 to 32 Lightning Damage at gem level 1 (previously 6 to 33), up to 198 to 1122 at gem level 20 (previously 133 to 754). Now has 120% Effectiveness of Added Damage at all gem levels (previously 80%).
Bladefall: Now deals 43 to 65 Physical Damage at gem level 1 (previously 44 to 66), up to 595 to 893 at gem level 20 (previously 411 to 617). Now has 140% Effectiveness of Added Damage at all gem levels (previously 90%).
Blazing Salvo: Now deals 6 to 9 Fire Damage at gem level 1 (unchanged), up to 241 to 361 at gem level 20 (previously 162 to 243). Now has 55% Effectiveness of Added Damage at all gem levels (previously 40%).
Crackling Lance: Now deals 28 to 84 Lightning Damage at gem level 1 (previously 28 to 85), up to 458 to 1375 at gem level 20 (previously 317 to 952). Now has 165% Effectiveness of Added Damage at all gem levels (previously 115%).
Divine Ire: Now deals 17 to 25 Physical Damage at gem level 1 (unchanged), up to 203 to 305 at gem level 20 (previously 140 to 210). Now deals 110% more Damage with Hits per stage after the first (previously 100%) Now has 45% Effectiveness of Added Damage at all gem levels (previously 30%).
+Fireball: Now deals 9 to 14 Fire Damage at gem level 1 (unchanged), up to 1640 to 2460 at gem level 20 (previously 1095 to 1643). Now has 370% Effectiveness of Added Damage at all gem levels (previously 240%).
Firestorm: Now deals 23 to 35 Fire Damage at gem level 1 (unchanged), up to 361 to 541 at gem level 20 (previously 250 to 375). Now has 80% Effectiveness of Added Damage at all gem levels (previously 55%).
Flame Surge: Now deals 26 to 40 Fire Damage at gem level 1 (previously 27 to 40), up to 832 to 1247 at gem level 20 (previously 563 to 844). Now has 190% Effectiveness of Added Damage at all gem levels (previously 120%).
Flameblast: Now deals 31 to 46 Fire Damage at gem level 1 (unchanged), up to 405 to 608 at gem level 20 (previously 280 to 419). Now deals 165% more Spell Damage for each stage (previously 130%). Now has 90% Effectiveness of Added Damage at all gem levels (previously 60%).
Glacial Cascade: Now deals 21 to 32 Physical Damage at gem level 1 (unchanged), up to 300 to 450 at gem level 20 (previously 207 to 311). Now has 65% Effectiveness of Added Damage at all gem levels (previously 45%).
Ice Nova: Now deals 18 to 26 Cold Damage at gem level 1 (unchanged), up to 769 to 1130 at gem level 20 (previously 518 to 762). Now adds 3 to 4 Cold Damage against Chilled Enemies at gem level 1 (unchanged), up to 118 to 172 at gem level 20 (previously 79 to 116). Now has 190% Effectiveness of Added Damage at all gem levels (previously 120%).
Ice Spear: Now deals 22 to 33 Cold Damage at gem level 1 (unchanged), up to 568 to 852 at gem level 20 (previously 383 to 575). Now has 130% Effectiveness of Added Damage at all gem levels (previously 80%).
Incinerate: Now deals 3 to 5 Fire Damage at gem level 1 (unchanged), up to 207 to 311 at gem level 20 (previously 140 to 210). Now has 50% Effectiveness of Added Damage at all gem levels (previously 30%).
Lightning Tendrils: Now deals 1 to 4 Lightning Damage at gem level 1 (unchanged), up to 55 to 1052 at gem level 20 (previously 37 to 703). Stronger Pulses now deal 200% more Damage with Hits and Ailments (previously 100%). Now has 100% Effectiveness of Added Damage at all gem levels (previously 65%).
Purifying Flame: Now deals 8 to 11 Physical Damage at gem level 1 (previously 8 to 12), up to 1324 to 1986 at gem level 20 (previously 884 to 1326). Now has 300% Effectiveness of Added Damage at all gem levels (previously 200%).
Rolling Magma: Now deals 9 to 12 Fire Damage at gem level 1 (unchanged), up to 1543 to 2315 at gem level 20 (previously 1031 to 1546). Now has 350% Effectiveness of Added Damage at all gem levels (previously 230%).
Shock Nova: Now deals 34 to 101 Lightning Damage at gem level 1 (previously 34 to 102), up to 537 to 1610 at gem level 20 (previously 371 to 1114). Now has 190% Effectiveness of Added Damage at all gem levels (previously 120%).
Stormbind: Now deals 36 to 107 Lightning Damage at gem level 1 (unchanged), up to 444 to 1332 at gem level 20 (previously 306 to 919). Now has 160% Effectiveness of Added Damage at all gem levels (previously 110%).
Storm Burst: Now deals 6 to 8 Physical Damage at gem level 1 (unchanged), up to 168 to 252 at gem level 20 (previously 114 to 171). Now has 35% Effectiveness of Added Damage at all gem levels (previously 25%).
Storm Call: Now deals 21 to 39 Lightning Damage at gem level 1 (previously 21 to 40), up to 949 to 1762 at gem level 20 (previously 640 to 1188). Now has 250% Effectiveness of Added Damage at all gem levels (previously 165%).
Unearth: Now deals 15 to 22 Physical Damage at gem level 1 (unchanged), up to 607 to 911 Physical Damage at gem level 20 (previously 407 to 611). Now has 140% Effectiveness of Added Damage at all gem levels (previously 90%).
Voltaxic Burst: Now deals 20 to 38 Lightning Damage at gem level 1 (unchanged), up to 906 to 1683 at gem level 20 (previously 611 to 1134). Now has 230% Effectiveness of Added Damage at all gem levels (previously 160%).


These changes have been made to supports and other effects that deal damage with any of the above spells:

Arcanist Brand: Supported Skills now deal 69% less Damage at gem level 1 (previously 55%), and 63% less at gem level 20 (previously 46%).
Battlemage's Cry: Supported Skills now deal 44% less Damage at gem level 1 (previously 20%), and 38% less at gem level 20 (previously 11%).
Blastchain Mine Support: Supported Skills now deal 59% less Damage at gem level 1 (previously 40%), and 53% less at gem level 20 (previously 33%).
Cast on Critical Strike Support: Supported Skills now deal 19% less Spell Damage at gem level 1 (previously 20% more), and 10% less at gem level 20 (previously 29% more).
Awakened Cast on Critical Strike Support: Supported Skills now deal 9% less Spell Damage at gem level 1 (previously 30% more), and 7% less at gem level 5 (previously 32% more).
Cast while Channelling Support: Now has "Supported Triggered Spells deal 30% less Damage" at all gem levels.
Awakened Cast while Channelling Support: Now has "Supported Triggered Spells Deal 30% less Damage" at all gem levels.
Cluster Traps Support: Supported Skills now deal 61% less Damage at gem level 1 (previously 55%), and 55% less at gem level 20 (previously 36%).
Multiple Traps Support: Supported Skills now deal 58% less Damage at gem level 1 (previously 50%), and 52% less at gem level 20 (previously 31%).
High-Impact Mine Support: Supported Skills now deal 56% less Damage at gem level 1 (previously 35%), and 50% less at gem level 20 (previously 28%).
Intuitive Link: Supported Spells now deal 44% less Damage at gem level 1 (previously 20%), and 38% less at gem level 20 (previously 11%).
Spell Totem Support: Supported Skills now deal 49% less Damage at gem level 1 (previously 28%), and 40% less at gem level 20 (previously 24%).
Spellslinger: Now has "Supported Skills deal 37% less Damage with Hits and Ailments" at gem level 1, with a value of 31% at gem level 20.
Trap Support: Supported Skills now deal 20% less Trap Damage at gem level 1, and 11% less at gem level 20 (previously 38% increased at gem level 20).
The Soul Mantle Unique Body Armour no longer has +1 to maximum number of Summoned Totems. Existing items can be updated with a Divine Orb and a momentary lapse in judgement.
The Poet's Pen, Cospri's Malice and Mjölner have had their cooldown on triggering socketed spells increased to 0.25 seconds (previously 0.15 seconds). This change affects existing items.


Here are some buffs that have been made to dedicated Totem and Trap Skills and some attacks that are designed for Ignite damage. At higher levels, these adjustments will offset the loss of damage from other changes.

Blade Trap: Now deals 76% of base Attack Damage at gem level 1 (previously 55%), up to 96% at gem level 20 (previously 67.5%). Now has 76% Effectiveness of Added Damage at gem level 1 (previously 55%), and 96% at gem level 20 (previously 67%).
Explosive Trap: Now deals 437 to 655 Physical Damage at gem level 20 (previously 309 to 464). Now has 100% Effectiveness of Added Damage at all gem levels (previously 60%).
Fire Trap: Now deals 10 to 15 Fire Damage at gem level 1 (previously 11 to 17), up to 915 to 1373 at gem level 20 (previously 644 to 966). Now deals 30.9 Base Fire Damage per Second at gem level 1 (previously 35.7), up to 4170.7 at gem level 20 (previously 2934.9). Now has 3 to 5 added Fire Damage against Burning Enemies at gem level 1 (previously 4 to 5), up to 286 to 429 at gem level 20 (previously 201 to 302). Now has 260% Effectiveness of Added Damage at all gem levels (previously 200%).
Ice Trap: Now deals 88 to 132 Cold Damage at gem level 1 (previously 88 to 133), up to 1275 to 1912 at gem level 20 (previously 898 to 1347). Now has 290% Effectiveness of Added Damage at all gem levels (previously 200%).
Lightning Trap: Now deals 15 to 46 Lightning Damage at gem level 1 (previously 18 to 54), up to 659 to 1978 at gem level 20 (previously 466 to 1399). Now has 240% Effectiveness of Added Damage at all gem levels (previously 170%).
Shockwave Totem: Now deals 33 to 65 Physical Damage at gem level 1 (unchanged), up to 412 to 765 at gem level 20 (previously 362 to 672).
Holy Flame Totem: Now deals 2 to 5 Physical Damage at gem level 1 (previously 3 to 5), up to 153 to 230 at gem level 20 (previously 134 to 202).


Unleash changes:

Unleash Support: Supported Skills now deal 50% less Damage when Reoccurring at gem level 1 (previously 30%), and 41% less at gem level 20 (previously 21%).


Cast speed modifier changes:

It is now possible to generate increased Cast Speed modifiers on Runic Daggers.
Increased Cast Speed modifiers on one-handed Weapons now roll 5-8% at the lowest tier (previously 5-7%), up to 29-32% at the highest tier (previously 23-25%).
Increased Cast Speed modifiers on two-handed Weapons now roll 8-13% at the lowest tier (previously 8-11%), up to 44-49% at the highest tier (previously 35-38%).
There are now three tiers of the increased Cast Speed modifier that can roll on Rings. The lowest tier provides values of 5-8%, and the highest provides values of 13-16%. Previously only a 5-7% version could roll.
There are now four tiers of the increased Cast Speed modifier that can roll on Amulets (previously three). The lowest tier provides values of 5-8% (previously 5-7%), and the highest provides values of 17-20% (previously 11-13%).
Crafting bench versions of the above modifiers have been updated accordingly.
The Veiled Modifier on one-handed Weapons that grants increased Cast Speed and a chance to gain Arcane Surge when you Kill an Enemy now provides 18-22% increased Cast Speed (previously 15-18%). Crafting bench versions have been adjusted accordingly.
The Veiled Modifier on two-handed Weapons that grants increased Cast Speed and a chance to gain Arcane Surge when you Kill an Enemy now provides 26-31% increased Cast Speed (previously 21-25%). Crafting bench versions have been adjusted accordingly.
Deafening Essence of Misery now provides 29-32% increased Cast Speed on one-handed Weapons (previously 26-28%), and 44-49% on two-handed Weapons (previously 39-42%). Screaming and Shrieking Essences have been updated accordingly.


Threshold Jewels:

Unique Threshold Jewels are no longer offered as a quest reward for completing "Death to Purity" in Act 5. Instead, you are now offered a choice of a Rare Crimson, Rare Cobalt, or Rare Viridian Jewel.
The following Unique Jewels can no longer be obtained: First Snow, Frozen Trail, Growing Agony, Overwhelming Odds, Rapid Expansion, Steel Spirit, Weight of the Empire, and Winter Burial.
The Hazardous Research Unique Jewel no longer has "With at least 40 Intelligence in Radius, Spark fires 2 additional Projectiles" or "15-20% reduced Spark Duration". Existing items can be updated with a Divine Orb. The Jewel's purpose is now only to enable firing Spark projectiles in a circle if you want this behaviour.
The Ring of Blades Unique Jewel no longer has "With at least 40 Dexterity in Radius, Ethereal Knives fires 5 additional Projectiles". Existing items can be made less pointy with a Divine Orb. The Jewel's purpose is now only to enable firing Ethereal Knives in a circle if you want this behaviour.
The Spreading Rot Unique Jewel is now limited to 1 (previously 2), this change affects existing items. It no longer has "With at least 40 Intelligence in Radius, Blight has 50% increased Hinder Duration". Instead, it now has "With at least 40 Intelligence in Radius, Blight has 30% reduced Cast Speed". Existing items can be updated to the new stat with a Divine Orb.
Freezing Pulse: Now deals 8 to 12 Cold Damage at gem level 1 (unchanged), up to 1458 to 2188 at gem level 20 (previously 888 to 1332). Now has 330% Effectiveness of Added Damage at all gem levels (previously 200%).
Frostbolt: Now deals 9 to 13 Cold Damage at gem level 1 (unchanged), up to 1594 to 2392 at gem level 20 (previously 972 to 1458). Now has 360% Effectiveness of Added Damage at all gem levels (previously 220%).
Spark: Now deals 1 to 28 Lightning Damage at gem level 1 (previously 2 to 29), up to 104 to 1983 at gem level 20 (previously 70 to 1326). Now fires 4 additional Projectiles at gem level 1 (unchanged), up to 7 at gem level 20 (previously 6). Now has 190% Effectiveness of Added Damage at all gem levels (previously 125%).
Ground Slam: Now has +10 to radius at gem level 20 (previously +6).
Heavy Strike: Now has 20% chance to deal Double Damage at gem level 1 (unchanged), up to 39% at gem level 20 (previously 20%).
Cleave: Now has +8 to radius at gem level 20 (previously +6). Now has 125% Effectiveness of Added Damage at gem level 1 (unchanged), up to 221% at gem level 20 (previously 213%).
Glacial Hammer: Now has "100% of Physical Damage Converted to Cold Damage" at all gem levels (previously 60%).
Viper Strike: Now deals 90% of base Attack Damage at gem level 1 (unchanged), up to 140.2% at gem level 20 (previously 135%). Now has 90% Effectiveness of Added Damage at gem level 1 (unchanged), up to 140% at gem level 20 (previously 135%).
Ethereal Knives: Now deals 7 to 10 Physical Damage at gem level 1 (unchanged), up to 949 to 1423 at gem level 20 (previously 633 to 949). Now fires 9 additional Projectiles at gem level 1 (unchanged), up to 12 at gem level 20 (previously 9). Now has 220% Effectiveness of Added Damage at all gem levels (previously 120%).
Blight: Base Secondary Duration is now 1.00 seconds (previously 0.80 seconds).


Alternate quality gem changes:

Quality on the Anomalous Frostbolt Skill gem no longer provides 0-100% reduced Damage, or 0-20% chance to inflict Cold Exposure on Hit. Instead, it now provides "Gain 0-40% increased Projectile Speed per second".
Quality on the Divergent Ground Slam Skill gem no longer provides 0-60% increased Area of Effect. It now provides 0-40% increased Angle (previously 0-40% reduced).


Orb of Storms:

Orb of Storms has been redesigned as a single target tool for lightning casters. The focus of the skill has been placed on its mechanic of hitting enemies when you cast a lightning skill in its area. Orb of Storms now deals 3 to 8 Lightning Damage at gem level 1 (previously 2 to 7), up to 304 to 913 at gem level 20 (previously 185 to 555). Now strikes every 3.50 seconds at gem level 1 (previously 1.50 seconds), and every 2.55 seconds at gem level 20 (previously 1.02 seconds). Beams now split towards 1 additional target at gem level 1 (previously 2), up to 3 additional targets at gem level 20 (previously 4). Now has 110% Effectiveness of Added Damage at all gem levels (previously 65%). Base Duration is now 7.00 seconds (previously 6.00 seconds)
Orb of Storms no longer requires splitting from the caster when they cast a Lightning spell in its area. Instead it will zap an enemy in range every time you cast a Lightning spell from within the Orb of Storm's area, making positioning much more flexible.


Ignite compensation changes:

Armageddon Brand: Now deals 69 to 104 Fire Damage at gem level 1 (previously 46 to 69), up to 924 to 1386 at gem level 20 (previously 613 to 920). Now activates every 1.5 seconds while Attached (previously 1 second). Now has 200% Effectiveness of Added Damage at all gem levels (previously 135%).
Burning Arrow: Now deals 200% of base Attack Damage at gem level 1 (previously 150%), up to 300% at gem level 20 (previously 214%). Also now has 200% Effectiveness of Added Damage at gem level 1 (previously 150%), up to 300% at gem level 20 (previously 214%). Now has an Attack Speed of 70% of base (previously 90%). Now has a Mana cost of 7 at gem level 1 (previously 5), up to 12 at gem level 20 (previously 8). Now uses the same Bow animation as Puncture.
Vaal Burning Arrow: Now deals 280% of base Attack Damage at gem level 1 (previously 200%), up to 400% at gem level 20 (previously 284%). Also now has 280% Effectiveness of Added Damage at gem level 1 (previously 200%), up to 400% at gem level 20 (previously 284%). Now has an Attack Speed of 70% of base (previously 90%). Now uses the same Bow animation as Puncture.
Explosive Arrow: Now has "Explosion deals 5% more Damage with Hits and Ailments per Explosive Arrow on Target" (previously just Hits).
Explosive Concoction: Now deals 20% Added Damage of all types at all gem levels. Now has "+60% to Ignite Damage over Time Multiplier with Ignite if Charges were consumed from a Ruby Flask" at gem level 1 (previously +40%), up to +98% at gem level 20 (previously +78%).
Fire Burst (granted by the "Cast Level 20 Fire Burst on Hit" Essence Modifier): Now has a cooldown of 1.5 seconds (previously 1 second). Now deals 1131 to 1696 Fire Damage at gem level 20 (previously 752 to 1127). Now has 250% Effectiveness of Added Damage (previously 270%).
Vaal Flameblast: Now deals 110% more Damage with Ailments for each stage (previously 70%).
Penance Brand: Explosions now deal 90% more Damage with Ailments per Energy after the first (previously 60%).
Death Wish (granted by the Maw of Mischief Unique Helmet): Now has 444 to 666 Fire Damage (previously 316 to 474). Explosion now deals base Fire Damage equal to 19% of the Minion's maximum Life (previously 13%).