Balancing Archives

The New Critcal System Explained

Hello Wizards, Nathan Shadowbringer, and Scot Moonshade here! We’re going to explain the recent changes to Critical and Block. Today’s article will revisit the previous age’s Critical and delve into the new system. We will examine the formulas to calculate your Critical Chance and damage multiplier. Critical has undergone a lot of change in recent years, and this update brings a new era of Critical! Critical and Block were once a percentage-point based system. Now it’s changed to a dynamic framework involving both Critical and Block.

Disclaimer!

Before we begin, we need to make a quick disclaimer. According to Ratbeard’s Karamelle PvP Update #2, Critical in PvP is not calculated the same as in PvE. The formulas we used do not work for calculating Critical or Block in PVP. All the information below applies to PVE only. With that said, let’s get started!

Old Versus New

Before the 2020 Fall Update, Critical was well… more critical. There was a chance to critical and a chance to block—the Critical stat based itself on how high your rating was in the respective category. Landing a Critical would ensure that your attack would do twice the damage (or 1.33 times damage in PvP). The problem with the old system was that achieving a high Critical Rating was easier than Block. It was making Block obsolete compared to Critical. With the new changes, it’s more balanced.

The following variables represent the corresponding data sets:

c = Critical rating

b = Block rating

l = Level / 100, where l ≤ 1.

The changes to Critical involve two new formulas. Both equations depend on the attacker’s Critical and the defender’s Block. The first formula determines your Critical chance. Note that Critical chance and Block chance must always add to 100%. For example, if you have a Critical chance of 90%, your opponent would still have a 10% chance to Block.

If your attack doesn’t Critical, or if the enemy blocks, the calculation ends there. In this scenario, the second formula isn’t necessary. But, if you do land a Critical hit, then the second equation runs. This determines the Critical Multiplier. This formula relies on the attacker’s Critical and the defender’s Block. Further examples are available in KI Developer Ratbeard’s Dev Diary.

Critical heals also use the Critical Chance formula. But they’re based on your Critical Rating and the Block of the person you are healing. The only difference is, they cannot Block a heal but instead can “resist.” The higher your Block, the less you’ll get from a critical heal. Fortunately, the schools that have more Block also tend to lean towards a tank-type playstyle. Tank builds have more Health and Resistance, so they can afford to lose some of that incoming healing from the Critical. Regardless, the amount of extra healing uses the same critical multiplier formula. Remember, it’s still impossible to block a critical heal!

Spell Alterations

Another important note to these changes is the way Vengeance and Conviction work. Vengeance is an Astral spell that increases your Critical chance by 20% for four rounds. This bonus only affects your chance to Critical. It doesn’t affect the enemy’s Block or your damage multiplier. Conviction increases your stun resistance by 90% and Block chance by 20% for four rounds. This 20% increase only affects the possibility to block a Critical. It doesn’t affect the enemy’s chance to critical, nor does it lower the multiplier.

Charts and Calculations

There are a few basic formulas that can roughly estimate Critical and Block ratings. These formulas are interchangeable, and most involve moving numbers and variables around. The following equation presented removes the need for complex fractions. Here are two general procedures for determining Critical chance:

Much like the Critical percentage formula, the damage ratio also follows a function. In this case, the damage multiplier is equal to 2 – 3 * Block / (Critical + 3 * Block). See the formula below.

Here is an estimate of your Critical Chance against mobs with ninety block (blue) and two hundred-forty block (red). The green line at the top represents the Critical Chance soft cap at ninety-five percent.

Using these formulas, you can now find optimal Critical numbers for mobs and bosses. Karamelle mobs have around 90 Block while Karamelle bosses have at most 240 Block. Except for the final boss, it would seem.

What Does this Mean?

It’s important to remember that everything we’ve shown you is subject to change. Critical and Block in PvP are calculated differently than PvE.

Using these numbers, you can find your optimal amount of Critical; 570 Critical will get you up to 95% Critical against most mobs. Using the formula for Critical Multiplier, we suggest 630 Critical as a good general goal. This way, against monsters with 90 Block, you’ll Critical 95% of the time and get a 1.7 multiplier against them.

As we enter the “Third-Age” of Critical, there’s potential for more diverse character builds. An example of this could be full-damage pets as opposed to pets that have Critical and damage. These changes also give new life to the may-cast Vengeance talent. This update creates better balance and a more dynamic flow between Critical and Block, allowing players to customize stats to their unique play-style. Thanks for reading; we hope this helps you understand the changes and how they affect your Wizard. If you have questions, you can always find us around the community. That’s all for now, until next time, we’ll see you in the Spiral.

-Nathan Shadowbringer & Scot Moonshade

Pip Wizardry 2020!

Hello Wizards, this is Nathan Shadowbringer here to help you calculate the actual damage of spells per pip!

This article will be updated if spell changes happen down the line. Eventually, I plan for this list to include even Loremaster and crafted spells.

We will start with the highest Pip spells, and works our way down to the lowest ones. You will notice some of the spells are not a whole number. Why is that, you ask? Currently, Shadow-enhanced spells that use Shadow and standard Pips – have been changing. In the summer 2020 Test Realm, KI has confirmed that one Shadow Pip now equals 3.6 pips. This number is subject to change.

Before the 2020 Summer Update, Shadow enhanced spells had severe damage compared to non-shadow-enhanced spells. These spells went through changes to balance them. Shadow Pips previously never had an absolute value, but now they do thanks to the new spell changes! They are still powerful, but now within reason to normal spells of a similar rank.

Calculating Damage Per Pip

First, if the spell has a damage range, we must find the average damage. For example, let’s take the spell Storm Owl. Storm Owl is a ten Pip spell, that can do anywhere between 1330 – 1470 damage. Which, on average, is about 1400. I would divide 1400 by 10 to get the spell’s loss per Pip or DPP. Storm Owl would come out to be 140 DPP.

This can be represented by the formula: (damage)/(x-y).

Here you would take the spell’s average damage (based upon the values on the card), and divide it by the difference of its Pip cost (represented by the letter x) and its utility Pip cost (represented by the letter y) which we’ll get to in a moment.

So the math for Storm Owl would look like this:

(damage)/(x-y)

(1400)/(10-0)

1400/10

= 140

It seems simple, right? Not always. To get a spell’s true DPP, we have to factor in Pip reductions, and damage multipliers.

What Are Pip Reductions?

A Pip reduction is something factored into a spell’s DPP calculation. These reductions happen when a spell has an added effect or utility attached to it. When calculating DPP, some Pips may get subtracted.

For example, one type of Pip reduction is the scion condition. Scion spells cost 11 pips, and do x2 damage if a particular condition is met depending on the spell. Because Scion spells can do x2 damage, reducing their initial damage. Their base damage is around the damage of a ten Pip spell. See where I’m going with this?

The Scion Condition results in -1 Pip when calculating damage per pip. Yet, the Scion condition is not the only Pip reduction. There are, in fact, many more.

Types of Pip Reduction

The following list contains the types of Pip reductions along with how many Pips they reduce.

Special: 10% Pierce blade: -0 Pips
Rusulka’s Wrath blade/weakness: -0.5 Pips
800 Absorb: -1 Pip
Disarm: -1 Pip
Guiding Light: -1 Pip
Infection: -1 Pip
Pierce: -1 Pip
Remove 2 pips: -1 Pip
Scion Condition: -1 Pip
Steal 1 pip: -1 Pip
Stun: -1 Pip
Summon minion: -1 Pip
Trap: -1 Pip
Tower shield: -1 Pip

Bubble change: -2 Pips
Double Disarm: -2 Pips
Double stun: -2 Pips
Gain 1 pip: -2 Pips
Plague: -2 Pips
Pierce before hit: -2 Pips
Smokescreen (40% accuracy debuff to all enemies): -2 Pips
Spirit Shield + Elemental Shield: -2 Pips
Stun all: -2 Pips
45% Weakness: -2 Pips
AOE 45% Weakness -3 Pips

What This Means

These Pip reductions may NOT all be accurate, because determining the number of Pips a utility takes away is tricky. KI developer Mattnetic has said some utilities may cost less and others more. The issue is finding out which ones. Most pip reductions appear to be -1 one Pip, with AOE utilities such as Plague counting as -2. One for the utility, and one for the AOE effect. However, that still leave some loose ends, so allow me to to tie those up right now.

Because all King Artorius spells to get a 10% Pierce charm, the Pierce charm is not counted as a utility. Thus, every King Artorius spell gets it for free.

Rusalka’s Wrath gives either a 30% storm blade or a 30% Storm Weakness to the caster. Considering it has a chance to positively and negatively affect the caster, it was given 0.5 pips instead of 1.

Because the typical bubble would cost two pips, the Pip reduction is counted as two Pips.

Calculating the Pip reduction for an 800 Absorb was difficult. The actual Absorb spell is three pips for a 400 Absorb; therefore, wouldn’t it be counted as six Pips for an 800 Absorb? If so, then the DPP of Hungry Caterpillar would be extremely high. But that wouldn’t be, right? Would it? These things can be quite challenging.

What Are Damage Multipliers?

You factor in a damage multiplier after you calculate a Pip reduction. For example, a standard damage multiplier is an AOE, or area of effect. An AOE spell is when a spell hits all enemies. Let’s take the spell, Glowbug Squall. This spell is an AOE, and it does 940 damage to all enemies. It costs five regular Pips and one shadow Pip. A Shadow Pip currently equals 3.6 Pips; therefore, Glowbug Squall would be 8.6 Pips in total.

AOE spells have their damage multiplied by 0.75, or 3/4. To account for this spell being an AOE, we get the inverse of 3/4 and multiply by 4/3. Instead of dividing 940 by 8.6, we would multiply 940 by 4/3 first to get 1253.3. Now, we divide by 8.6. Finally, this makes the DPP of the spell Glowbug Squall 145.7.

Calculating Drain DPP

Calculating the damage multiplier for drains was difficult. Thanks to the new spell, Ship of Fools, we can now figure it. Ship of Fools has two routes you can go and upgrade using spellements. One is damage, and the other is a drain.

We can now accurately compare drain damage to typical damage. For example, the final tier of Ship of Fools. We found drains to suffer a 0.88% damage dropoff compared to pure damage. The final drain tier for Ship of Fools deals 330 damage. The final pure damage tier for ship of fools deals 375 damage. 330/375 is 22/25, 0.88, or 88%.

This rate stays consistent for each upgrade of Ship of Fools. Therefore, before we calculate a drain spell’s DPP, we have to multiply its damage by the inverse of 22/25, which would be 25/22, to find the true DPP.

Calculating DOT DPP

One more type of damage multiplier is “damage over time” or DOT. These spells have initial damage, and then the damage dealt over three rounds. Because this damage takes longer to deal, the damage is 25% higher than the average spell—DOT’s damage multiplies by 1.25. So, to find DPP of spells with DOT’s divide by 1.25 to get the final DPP value.

X rank spells like Tempest and Snowball Barrage are not affected by the AOE multiplier. Because they already have their damage per Pip value listed on the card.

What do the Devs say?

The first chart here is from Ratbeard’s Dev Dairy, it shows the individual base DPP for each school of magic. In addition to the new and old DPP for each school’s Shadow-enhanced spells.

With the damage per pip chart below, you will start to notice things with some spells above rank 7. The damage per pip curve caps off at eight Pips. It does not increase further. To account for this, rank eight spells and above get utility for cheaper then what a rank seven or lower would. They get these utilities at a 50% discount, compared to a rank seven or below spell.

There is one utility that does not get this discount, the Scion Condition, which remains at -1 Pip, not -0.5. The discounted utilities are bolded on the chart.

Another thing to note is rank seven spells DO NOT get penalized for being an AOE. They are purposefully over the damage curve. None of the things mentioned above apply to Shadow enhanced spells.

Formulas: (x = number of Pips and y = utility Pip cost)

AOE: [(damage)(4/3)] / (x – y)

DOT: [(damage)(0.8)] / (x – y)

Drain: [(damage)(25/22)] / (x – y)

If you’re interested in learning more about DPP you can check out Ratbeard’s Dev Dairy on the subject with this link! https://www.wizard101.com/game/dev-diary/spell-balance-audit

Final Notes

Moving forward the it’s important to keep this information in mind:

One Shadow Pip equals 3.6 pips
Storm base DPP is 125
Fire base DPP is 100
Myth base DPP is 90
Death and Balance base DPP is 85
Life and Ice base DPP is 83
DOTs have a damage multiplier of 1.25
Rank 7 spells are intentionally above the curve in DPP (no x4/3 AOE multiplier when calculating DPP)
DPP scales slowly as spells start to cost more Pips
Shadow enhanced spells have a higher DPP compared to regular spells.

We hope this article helps you to understand the logic behind the recent changes to the game and how they will help balance things going forward. Personally, I am excited to see what new spells will be possible now.

Thanks For Reading!

Special thanks to Shawn Fire and Dustin from the Ravenwood Community Discord for assisting me in the many calculations throughout this article. I would also like to thank KI developer Ratbeard for responding to my questions about DPP so quickly, he was extremely helpful! And, thank all of you for reading. I hope you enjoyed this article as much as I did writing it. If you did, please check out the other guides and information Ravenwood Academy has to offer. Let us know what you think and what your calculations find in the comments below, or at the Ravenwood Community!!

Tag Archives: Balancing

Critical Changes Explained