What charm is better, Savage blow or Low blow?

Question

 Low blow 4%,8%,9% plus (level 1,2,3) chance of getting critical hit

 Savage Blow 20%,40%,44% plus (level 1,2,3) damage on critical hit

Lets put it as example flimsy hunt on Venore since there are many monsters of the same type.

Answer 1

To determine which rune is more efficient between Low Blow (level 1,2) and Savage Blow  (level 1,2), let's analyze based on the following:

1. Base critical hit chance (with Powerful Strike):

   • Powerful Strike: +10% critical hit chance.
   • Low Blow: +8% additional, total = 18% critical hit chance.
   • Savage Blow: No additional critical hit chance, remains at 10%.

2. Additional critical damage:

   • Powerful Strike: +50% critical damage.
   • Low Blow: No increase to critical damage.
   • Savage Blow: +40% additional critical damage, total = 90% critical damage.

3. Number of enemies:

   • You hit 10 enemies per attack.
   • The critical damage applies to all enemies hit when it triggers.

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Key Assumptions:

1. Attack Mechanics:

   • Each attack hits 10 Flimsy Lost Souls simultaneously.
   • Base damage per hit = 600 (6,000 total per attack across 10 monsters).
   • Critical hit applies to all 10 monsters when triggered.

2. Flimsy Lost Soul HP: 4,000 per monster.

3. Attack Rate: Assume 60 attacks per minute (1 attack per second), for a total of 3,600 attacks in 1 hour.

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Low Blow:

1. Base Damage Per Attack: 6,000 (non-critical).
2. Critical Hit Damage Per Attack: 6,000 × 1.5=9,000 (50% increase).
3. Average Damage Per Attack:
   Average Damage = (18%  x times 9,000) + (82% x times 6,000) = 1,620 + 4,920 = 6,540
4. Total Damage Over 1 Hour:
   6,540×3,600= 23,544,000 damage in 1 hour.

Savage Blow:

1. Base Damage Per Attack: 6,000 (non-critical).
2. Critical Hit Damage Per Attack: 6,000×1.9=11,400 (90% increase).
3. Average Damage Per Attack:
   Average Damage = (10% × 11,400)+(90% × 6,000)=1,140+5,400=6,540
4. Total Damage Over 1 Hour:
   6,540×3,600= 23,544,000 damage in 1 hour.

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For large groups of enemies (like the flimsy), Low Blow (Level 1 and 2) and Savage Blow (Level 1 and 2)  are equivalent in terms of average damage per attack. However, there are key differences:

1. Consistency of damage:

   • Low Blow has a higher critical hit chance (18% vs. 10%), leading to more frequent critical activations but with less impact per critical.
   • Savage Blow has fewer criticals but stronger hits (+90%).

2. Decision:

   • If you prefer more frequent critical hits, use Low Blow (great for consistent damage output against many small enemies).
   • If you want stronger, more explosive hits, use Savage Blow (better for tougher enemies or when critical impact matters more).

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Low Blow (Level 3):

1. Base Damage (non-critical): 6,000.
2. Critical Damage: 6,000×1.5=9,0006,000 \times 1.5 = 9,0006,000×1.5=9,000.
3. Average Damage Per Attack: Average Damage = (Critical Chance×Critical Damage)+(Non-Critical Chance×Base Damage) = (19% x times 9,000) + (81% x times 6,000) = 1,710 + 4,860 = 6,570

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Savage Blow (Level 3):

1. Base Damage (non-critical): 6,000.
2. Critical Damage: 6,000×1.94=11,640 (94% damage on critical).
3. Average Damage Per Attack:
   Average Damage = (10% x times 11,640) + (90% x times 6,000) = 1,164 + 5,400 = 6,564

Comparison Over 1 Hour:

• Total attacks in 1 hour = 60×60=3,600
• Low Blow (Level 3): 6,570×3,600=23,652,000 total damage.
• Savage Blow (Level 3): 6,564×3,600=23,630,400 total damage

As you can see in the graph below for there to be a noticeable difference in the damage caused by each charm we need to greatly increase the damage per second, something that is not feasible considering the damage that grows according to the level of the character, so even in the lever 3 we could say that they are almost identical in relation to their performance.

Comments

Nice explanation. I am using both :) Except of pure effectiveness it has mind - impact. Big crit numbers :)

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Amazing answer! Can you believe that I was going to ask the EXACTLY question yesterday? I already picked Savage Blow and Carnage to play around!

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One of the best answers that I've seen. Congrats and thanks for the information!

Answer 2

Short answer

Low Blow is always at least as good as Savage Blow, and under certain conditions, it outperforms Savage Blow.

Long answer

Let's analyze how both charms perform on multiple scenarios. Jump to the Conclusion section below for the result of this analysis. 

Description of Low Blow, Savage Blow and Powerful Strike

Powerful Strike: Powerful Strike is an imbuement that can be applied to weapons. When applied, it raises critical hit damage by 50% and critical hit chance by 10%.

Low Blow: Adds 4% / 8% / 9% critical hit chance to attacks with critical hit weapons.

Savage Blow: Adds 20% / 40% / 44% critical extra damage to attacks with Critical Hit weapons.

Powerful Strike only (no charms)

Assuming our weapon is imbued with Powerful Strike, every 100 hits we have 10 hits dealing 50% more damage (critical). This can be written as:

y = (100 * x) + (10 * x/100*50)

Where x is the base damage caused by a hit and y is the total damage caused in 100 hits.

(100 * x) is how we calculate the normal 100 hits.

(10 * x/100*50) is how we calculate the extra damage from the 10 critical hits.

These are summed to calculate the total damage of 100 hits, critical hits included.

However, since from now on we're only going to discuss critical hits, we can leave the normal hits out of the equation, leaving us with:

y = (10 * x/100*50)

Which can be simplified to:

y = 5x

Powerful Strike + Low Blow

Applying the values from Low Blow (levels 1, 2 and 3) to our original equation, we have:

Low Blow 1	Low Blow 2	Low Blow 3
y = (14 * x/100*50)	y = (18 * x/100*50)	y = (19 * x/100*50)
y = 7x	y = 9x	y = 9.5x

Powerful Strike + Savage Blow

Applying the values from Savage Blow (levels 1, 2 and 3) to our original equation, we have:

Savage Blow 1	Savage Blow 2	Savage Blow 3
y = (10 * x/100*70)	y = (10 * x/100*90)	y = (10 * x/100*94)
y = 7x	y = 9x	y = 9.4x

Comparing the results

Comparing the simplified equations, we can clearly see that Low Blow and Savage Blow are equivalent on level 1 and 2, but Low Blow outperforms Savage Blow on level 3.

The outperforming of Low Blow on level 3 can easily be spotted if we look at the increase in both charms' effects from level 2 to level 3:

Low Blow: from level 2 (8%) to level 3 (9%), we have an increase of 12.5%.

Savage Blow: from level 2 (40%) to level 3 (44%), we have an increase of 10%.

We clearly see that Low Blow gets a bigger increase in its effect. We now understand why Low Blow outperforms Savage Blow on level 3.

The trick: increased critical extra damage from equipments

Tibia has equipments that increase critical extra damage, such as the new inferniarch items or the Soul War items. Let's take soulbleeder as example.

Soulbleeder adds 10% to the critical extra damage. In order to see how using a soulbleeder would affect our calculations, we have to update our equations and simplify them again.

Updating our equations to add 10% to the critical extra damage:

Low Blow 1	Low Blow 2	Low Blow 3
y = (14 * x/100*60)	y = (18 * x/100*60)	y = (19 * x/100*60)
y = 8.4x	y = 10.8x	y = 11.4x

Savage Blow 1	Savage Blow 2	Savage Blow 3
y = (10 * x/100*80)	y = (10 * x/100*100)	y = (10 * x/100*104)
y = 8x	y = 10x	y = 10.4x

Comparing the results again

We now see that Low Blow outperforms Savage Blow on every level when using equipment that increases critical extra damage. And, surprisingly, Low Blow level 2 becomes better than Savage Blow level 3!

But why does this happen?

The reason lies in scaling. Every percentage point added to critical extra damage will be multiplied by 14, 18 or 19 if using Low Blow, whilst being multiplied only by 10 if using Savage Blow. This means that Low Blow scales better with additional critical extra damage coming from equipments.

Conclusion

If using equipments that grant critical extra damage, Low Blow always outperforms Savage Blow.

If NOT using equipments that grant critical extra damage, Low Blow and Savage Blow are equivalent on levels 1 and 2, and Low Blow outperforms Savage Blow on level 3.

This is a graph of all levels of LB and SB with 10% critical extra damage from equipments applied.