Thursday, March 17, 2016

REPOST-Yang vs. Tifa: Filling In The Blanks

NOTE FROM FM2/Dion:  I am NOT the creator of this Blog Piece. This was created by Risinguppercut, Shadow_Ninja and his fellow G1s from the ScrewAttack Forums. Recently a Merger happened with RoosterTeeth that led to the old Blogs going the way of the Dodo-but I managed to save this one. All Credit goes to the RisingUppercut, Shadow_Ninja and all fellow G1s that worked on this piece-not me. that out of the way, enjoy!





TLDR;

The post-fight analysis in Yang VS Tifa measured the durability of Yang's Aura, but not the strength of the attacks that were pitted against it. Using information present in the Death Battle episode, I try to calculate Tifa's full potential. The results and how it impacts the outcome of the match may surprise you!

Introduction

Hello everyone, I'm risinguppercut. With the help of Shadow_Ninja, I have written this blog to organize my thoughts on the Yang VS Tifa episode of Death Battle. I was one of the many people who were shocked to see Tifa lose in what was expected to be a rather easy match. You may be thinking, “Death Battle conducted their research, analyzed it and determined Yang to be the victor. Case closed. Why blog about it?”
Now that the episode has been released to the public, I believe it is a valid subject of criticism. Death Battle has made mistakes in the past, but I believe YvT to be a unique case. I generally agree with most of DB's verdicts, but upon closer examination, this particular one falls apart. I am not saying this to be insulting; I have grown to love and respect Death Battle over the years. I'm saying that they were wrong with regards to the outcome of this battle because it is what I believe and what my examination of their analysis shows me.
For the purposes of this blog, we will be examining YvT solely in the context of the Death Battle episode itself. I will analyze this fight based only on what they gave Tifa for her fight against Yang.
In other words, this will be an examination of Death Battle's version of Yang vs Death Battle's version of Tifa in order to avoid speculation based on arguments found outside of this episode of Death Battle. Also, although the actual animated fight portion of the episode has several errors I could quibble over (such as Tifa being wounded by ice which her Minerva Band specifically protects her from), I recognize that the animation is purely an entertaining representation of who would win in a fight based off of the analysis of the characters. Thus, I will be looking at only the pre- and post-fight analysis portions of the YvT episode when making my arguments.

Why Did Tifa Lose?

To understand why Tifa should win, we need to first understand why DB thinks she should lose. In other words, we need to examine why Yang would win. Since the analysis on why Yang won the fight is quite brief, I have included below the transcript as found on the Death Battle Wiki:

To summarize the train of thought:
Yang's Semblance is strong enough to kill Tifa --> The ability to use this Semblance is dependent on Yang surviving Tifa's attacks --> Yang can survive being knocked through a concrete pillar --> Therefore, Yang wins.
This analysis is not so much wrong as it is incomplete. While the analysis does make an attempt to quantify the durability of Yang's Aura, it makes no attempt to analyze the strength of her opponent's attacks. DB's analysis assumes Tifa's strength is weaker than Yang's Aura. Or at the very least, it fails to provide evidence to back up this assumption.
The concrete pillar feat is arbitrarily treated as being infinitely more impressive than anything Yang's opponent could throw at her. The ramifications of this mistake alone are more than enough to call into question who should have won this Death Battle.
The 1400 tons of force blow was made by a mech about the same size as the first and weakest boss (also a mech) of FF VII. As seen in Tifa's analysis before the fight, DB sets Tifa at level 99 with the highest natural stats possible in addition to giving her access to her ultimate weapon and all of her Limit Breaks. Over the course of her world-saving journey, Tifa went toe to toe with kaiju-sized monsters and even more daunting foes such as Sephiroth. In the 22nd episode of Death Battle ("Link VS Cloud"), the antagonist of FF VII himself is referred to as "the planet-busting Sephiroth".
The crux of the argument in favor of Yang winning the fight is that her Aura is strong enough to allow her to survive Tifa's attacks. In order to gain a better idea of who should have won this Death Battle, Tifa's most powerful attacks need to be analyzed and quantified.
Doing this also has the added benefit of addressing the other components of the post-fight analysis of which there are three. What they are and how quantifying Tifa's strength will affect these arguments is summarized below (“a” is the argument and “b” is how it will be resolved):
1a) Yang's Semblance turns all of Tifa's power against her and this force is strong enough to overwhelm her defenses and kill her.

1b) This blog will not attempt to quantify Tifa's durability as there are countless factors able to be drawn upon in this manner and it is unknown which would be most appropriate to include in a Death Battle. Fortunately, this argument is moot if Yang cannot survive Tifa's attacks, as Yang would be unable to use her Semblance and never get an opportunity to turn Tifa's power against her.

2a) Tifa's Limit Break strength does not equal the strength of her normal attacks.

2b) This isn't really an argument against Tifa winning as no attempt was made to determine the strength of her Limit Breaks. As she was given access to her Limit Breaks for the Death Battle, their strength will be calculated in this blog using numbers found in the Death Battle episode.

3a) Both Yang and Tifa have access to a special ability that increases their power as they take damage. Unfortunately, Tifa loses this extra power after using her Limit Breaks, while Yang's power continues to grow.

3b) This argument confused and outraged several DB fans as it could be perceived as an example of a NLF (No Limits Fallacy). This is the mistake of believing that a character has no limits, usually because they have yet to have their limits defined. I am inclined to believe that DB did not commit a NLF as during the episode, a limiting condition (“must remain conscious to absorb power”) is included in the analysis of Yang's Semblance. Either way, this third supporting argument is also resolved by quantifying how hard Tifa is hitting Yang. If Tifa's opponent cannot survive her Limit Breaks, it does not matter if she loses power after performing them.

IT'S TIME FOR A MATH BATTLE!

(that sounded better in my head)
And now on to the math portion of the blog. Our goal is to provide you with the strength of Death Battle's version of Tifa Lockhart's strongest attacks. According to what we've been given in the analysis of the DB match, Tifa needs to be able to exert more than 1400 tons of force in order to kill Yang Xiao Long. While it is debatable how much more Yang's Aura could take beyond those 1400 tons, we have to work with the numbers we're given, and so 1400 tons of force stands as DB's version of Yang's durability threshold. Based on this, the assumption will be made that any attack that exerts significantly more than 1400 tons of force will endanger Yang's life and ultimately lead to her death.

In the pre-fight analysis of Tifa, Death Battle attempted to calculate her strength by using the feat from Advent Children where Tifa throws Cloud hard enough to make him break the sound barrier. They calculate that Tifa would need to be strong enough to exert 153 tons of force. While these calculations are debatable, as is whether or not Cloud actually broke the sound barrier, for the purposes of the Death Battle they are taken as fact and, as such, I will not attempt to debate DB's math in this blog, just as I will not be debating the 1400 ton figure.

When Tifa throws Cloud, she is not wearing the Premium Heart nor is she using a Limit Break. Thus the next two sections of this blog will deal with calculating Tifa's strength when wearing the Premium Heart and how strong her Limit Breaks are when she is wearing it.

The Premium Heart

 

When DB examined the properties of the Premium Heart during their analysis of Tifa, the first quality mentioned was that the Premium Heart is “7.6x stronger than Leather Gloves”. The Leather Gloves are Tifa's default weapon, the one she starts the game with in Final Fantasy VII. They are likely the weapon she was using when she threw Cloud, as she is seen to be wearing leather gloves in that scene and the “7.6x” fact was likely provided by Death Battle to convey a comparison between her normal strength and how strong she is while wearing the Premium Heart. How did they arrive at the 7.6x multiplier? Likely by examining the weapons' in-game stats. The Leather Glove has an Attack Power of 13 and Premium Heart has an Attack Power of 99, resulting in a difference of 7.6 times (rounded down). Using DB's 153 tons of force figure as a base for Tifa's strength while wearing Leather Gloves, the next step in calculating her power is determining how strong she is with the Premium Heart equipped.
 
153 tons-force * 7.6 (difference in base power between LG and PH) = 1162.8 tons of force
 
Even with the Premium Heart, Tifa's attacks still fall short of the 1400 tons-force goal. However, Premium Heart has a special ability separate from its base Attack Power. As mentioned several times in the DB, Premium Heart increases Tifa's power as her Limit Bar/Gauge fills, i.e. when she receives damage. The exact way in which this boosting effect applies mathematically to Tifa's power is expressed in the following equation found on the Final Fantasy Wiki's article on the Premium Heart:
Before dealing with this equation, I am going to make two purely aesthetic changes to it for the purposes of clarification only. The first is that I am going to flip the two sides of the equation. This is because I find it easier to read from left to right (hopefully this is the case for most of the people reading this). The second is to rename the value “Power”, as found by itself on one side of the equation, to “Total Modified Power”. This is to avoid confusion. “Power” is listed on both sides of the equation, which implies that they are equal. It should be apparent that the “Power” value listed on the right side of the equation above (the side with all the multiplying and dividing) will never equal the “Power” value standing alone on the opposite side of the equals sign. The “Power” found within the brackets is the base power value and the “Power” value on the other side is the solution to the equation. In other words, it’s a representation of how the base power has been modified by the equation. Hence, “Total Modified Power”:
 
Now we must insert the proper values. For “Power”, we will simply be using a value of “1”. This is so that we can measure how much the Premium Heart's special ability multiplies Tifa's strength. It is important that we insert values that represent Tifa having a full Limit Bar so that we can find out how strong Tifa's strongest attacks are. This will also assist us later on when we are determining the strength of Tifa's Limit Breaks, as they also benefit from Premium Heart's boosting effect and a full Limit Bar is necessary to perform any and all of Tifa's LBs.
The value “Tifa's Limit Level” is “4”. A FF VII character's final Limit Break is learned by achieving Limit Level 4 and Tifa is stated in DB to have mastered all of her Limit Breaks.
For the value of “Limit Bar Units”, we will be using the value “255”. This is because the Limit Gauge internally is treated as an integer between 0 (empty) and 255 (full).
Now with all the values accounted for, we can solve for “Total Modified Power”.
 
(1 * (4 * 255/16) / 16) +1 = Total Modified Power
(1 * (4 * 15.9375) / 16) +1 = Total Modified Power
(1 * 63.75 / 16) +1 = Total Modified Power
(63.75 / 16) + 1 = Total Modified Power
(3.984375) +1 = Total Modified Power
4.984375 = Total Modified Power


Thus we can see that if Tifa's Limit Bar is full, her "Power" is increased by 4.984375 times, or quadrupled if you round down (which is how most calculations are treated in games). Since a precedent for rounding down has been set earlier (in calculating the difference in power between Leather Gloves and the Premium Heart) we will continue to do so and use a simple 4x multiplier for representing the PH's special ability. Taken together with the base power of the weapon, we can now get an accurate representation of Tifa's strength when wearing the Premium Heart and being 'charged up' sufficiently to use her Limit Breaks.
 
(153 tons-force * 7.6) * 4(PH's special ability at full Limit Bar) = 4651.2 tons-force
 
Note this is not representative of the strength of Tifa's Limit Breaks. This is how much force she can put into hernormal strikes when her Limit Bar is full prior to her deciding to use her Limit Breaks. Already we can see that at this point, each one of Tifa's punches are strong enough to deal a killing blow to Yang. Several times over in fact. However, I am not stopping here.
There are two reasons for this. One, some of you may believe Yang could tank more than one blow through a pillar, and showing that Tifa strikes with enough force to knock Yang through multiple pillars with one blow is not enough to declare Yang dead. I mentioned previously that this is up to debate and a very legitimate opinion, and so I will calculate Tifa's Limit Breaks to show you what I hope is a sufficiently large enough amount of overkill to safely say that Tifa is capable of overpowering Yang's Aura and killing her. The second reason is that I promised you that I would be quantifying the strength of Tifa's strongest attacks. So without further ado:

Tifa's Limit Breaks



Calculating the strength of Tifa's seven Limit Breaks is actually quite simple. The damage each one inflicts is equal to a multiplier specific to that Limit Break applied to the strength of Tifa's normal attacks, as displayed below:

Beat Rush (x1.25)
Somersault (x1.375)
Waterkick (x1.5)
Meteodrive (x1.625)
Dolphin Blow (x1.75)
Meteor Strike (x1.875)
Final Heaven (x2.625)

Before we multiply these numbers by Tifa's established power, there is one more factor of the Limit Breaks that can, and should, be considered. For those of you unfamiliar with Final Fantasy VII, when Tifa performs her Limit Breaks, a roll of slots appears on-screen. There is one slot for each of her seven Limit Breaks and each slot has three faces: “Hit”, “Miss”, or “Yeah!” The player then needs to stop each of the slots, preferably on “Yeah!” If you get a “Miss”, the Limit Break represented by that slot misses, if you get a “Hit”, the LB hits with average damage, and a “Yeah!” represents you got a critical hit, which doubles the damage. A more realistic, less game mechanically-based, explanation of how the whole “Yeah!” thing works is that they are examples of Tifa executing her Limit Breaks perfectly. Critical hits in most games are usually left up to luck and random chance, even in FF VII. However, in the specific case of Tifa's Limit Breaks, a critical hit is directly controlled by the user's skill and ability. Thus in order to determine the absolute maximum power Tifa is able to produce, I will assume she performed a perfect Limit Break because it is something she is demonstrably capable of doing. Performing a Limit Break perfectly applies a further x2 multiplier. And now, I present the strongest hits Tifa Lockhart is capable of inflicting, factoring in what DB already calculated for her and the options they provided her with for her Death Battle match:
 
(4651.2 tons-force (Tifa's normal strength while wearing fully charged PH) * 1.25 (Beat Rush)) * 2 (Yeah!) = 11,628 tons-force

(4651.2 * 1.375 (Somersault)) * 2 = 
12,790.8 tons-force

(4651.2 tons-force * 1.5 (Waterkick)) * 2 = 
13,953.6 tons-force

(4651.2 tons-force * 1.625 (Meteodrive)) * 2 = 
15,116.4 tons-force

(4651.2 tons-force * 1.75 (Dolphin Blow)) * 2 = 
16,279.2 tons-force

(4651.2 tons-force * 1.875 (Meteor Strike)) * 2 = 
17,442 tons-force

(4651.2 tons-force * 2.625 (Final Heaven)) * 2 = 
24,418.8 tons-force
 
Let's allow that last number to sink in for a moment. If the mech Yang fought was capable of punching with the force of 1400 tons, then getting hit by a fully powered Final Heaven is the equivalent of getting punched by 17 of those mechs all at the same time.


Ouch.
 
And that's just the explosive cherry on top of the Limit Break chain. Now let's put the whole thing into perspective. If we divide the power of these Limit Breaks by the 1400 tons-force blow that Yang's Aura tanked (111,628.8 / 1400), Yang's previously set durability threshold has been exceeded about 79 times over the course of the seven individual Limit Breaks.
Another way to look at this is through the jetliner analogy used in the Death Battle. Yang's Aura tanking the 1400 tons-force blow from the mech is, according to Death Battle, “the equivalent of having 360 jetliners fall on your face.” For the purposes of this match, the jetliner analogy was taken as not only fact, but the primary reason why Yang won the fight. Going by the established math, taking Tifa's full Limit Break is like having 2,990 jetliners fall on your face. And then another 3,289 jetliners. Followed by 3,588 jetliners. Then 3,887 jetliners more. After that is another 4,186 jetliners. Assuming you still have a face, 4,485 more jetliners will then fall on it. Open wide, the last one is a doozy. If getting knocked through a 4 foot wide pillar of concrete is equal to 360 jetliners, then Tifa's Final Heaven drops 6,279 jetliners on her opponent's face. That makes a grand total of 28,704 jetliners which matches the earlier assessment of 79 times Yang's durability threshold (28,704 jetliners divided by 360 jetliners is a difference of 79 times). For those who are curious, and for the sake of thoroughness and transparency, the math on the jetliners is included below:
 
1400 tons-force = 360 jetliners

Beat Rush

11,628 tons-force / 1400 tons-force = 8.305714
8.305714 * 360 jetliners = 
2,990 jetliners

Somersault

12,790.8 tons-force / 1400 tons-force = 9.136285
9.136285 * 360 jetliners = 
3289 jetliners

Waterkick

13,953.6 tons-force / 1400 tons-force = 9.966857
9.966857 * 360 jetliners = 
3588 jetliners

Meteodrive

15,116.4 tons-force / 1400 tons-force = 10.797428
10.797428 * 360 jetliners = 
3887 jetliners

Dolphin Blow

16,279.2 tons-force / 1400 tons-force = 11.628
11.628 * 360 jetliners = 
4186 jetliners

Meteor Strike

17,442 tons-force / 1400 tons-force = 12.458571
12.458571 * 360 jetliners = 
4485 jetliners

Final Heaven

24,418.8 tons-force / 1400 tons-force = 17.442
17.442 * 360 jetliners = 
6279 jetliners
 

"Feels like you're flying, doesn't it?"
Regardless of whether you measure it in tons of force or jetliners dropped on one's face, the calculations above prove that Yang could not have survived Tifa's Final Heaven, her most powerful attack. In all likelihood, Tifa would never even have to use Final Heaven against Yang. Even if Yang could somehow survive Tifa's attacks leading up to the Limit Breaks, she wouldn't even survive Beat Rush.

Don't Get Me Wrong . . .

Before I move on to my conclusion, I think I should take a moment to clarify a few things so that I don't provide you with any false impressions. With the help of Shadow_Ninja, I just finished proving that Yang would be brutally killed by Tifa with relative ease. This does not mean that either of us are 'haters' of RWBY or of Yang. We're actually fans of RWBY and Yang is my favorite character on the show (Shadow_Ninja's favorite is Blake, but he likes Yang a lot too). This Death Battle did not change how we perceive the show or the character. In fact, we were able to learn even more about RWBY while researching Yang. We're currently enjoying the third season, especially the team fights in the tournament. We're also not 'haters' of Death Battle, nor do we have any negative feelings towards anyone who works on the show. This blog wasn't created out of some spiteful need to prove the DB guys wrong. We saw a mistake and we attempted to correct it. Just because we thought DB made an error in their argument doesn't mean we don't respect them. We often agree with DB's verdicts because the post-analysis usually does a great job of comparing and contrasting the winner with the loser. The viewers are shown both sides of the equation. In Yang vs Tifa, this simply wasn't the case and thus it was impossible for me and Shadow_Ninja (as well as many others) to understand how any victor could have been chosen, let alone the underdog in what was predicted by many researchers to be a one-sided battle in Tifa's favor. Hence, the blog.

Conclusion

To conclude, I will review the arguments DB provided for why Yang won and how the evidence provided in this blog, derived from the YvT Death Battle episode itself, refutes them. The primary argument was that Yang's Aura allowed her to survive Tifa's attacks so that she could use her Semblance to win. The equation was Yang's Aura > Tifa's Strength. Death Battle solved the left side, but not the right, and now that I have completed the equation, we can see that it should read Yang's Aura < Tifa's Strength. The first secondary argument in favor of Yang's victory was that her Semblance could turn Tifa's power back on Tifa and kill her. I have demonstrated this to be impossible because Yang could not survive Tifa's attacks to turn them back on her in the first place. The second secondary argument was that the strength Tifa has during her Limit Breaks does not translate into her normal attacks. The strength of these Limit Breaks has been calculated above and I have demonstrated that the exceptional strength shown during the LBs is unnecessary, as Tifa's normal attacks are strong enough to kill Yang (if she's wearing the Premium Heart and has at least a moderately filled Limit Gauge). The final secondary argument for why Yang won is that Tifa's power dropped after completing her Limit Breaks while Yang's continued to grow. I have demonstrated that this drop in power is irrelevant because it is impossible for Yang to survive Tifa's Limit Breaks.
ScrewAttack (and Death Battle) is not averse to receiving criticism. Making their work available to the public in the form of the videos they release is a tacit admission of this. If you ever find yourself disagreeing with a verdict or wondering how DB arrived at one of their decisions, I would encourage you to conduct research of your own and closely examine the facts available. Many of you DB fans already do this. This is not a call to arms but an invitation to help this company and the community that surrounds it grow through discourse and constructive criticism. Just remember to criticize the argument and not the person behind it. Thank you very much for your time and consideration in reading our blog. I hope to see you on the forums and in the comments below!

Special Thanks

I'd like to thank Shadow_Ninja, who actually co-authored this blog with me.  I would also like to thank BerialEdge,King BowserMLDKF, and ultraguy for their invaluable feedback while this blog was being created.  Without the input of these people, the blog you see before you would not exist.

Sources

Death Battle: http://www.screwattack.com/shows/originals/death-battle
Death Battle Wiki: http://deathbattle.wikia.com/wiki/DEATH_BATTLE_Wiki
Final Fantasy Wiki: http://finalfantasy.wikia.com/wiki/Final_Fantasy_Wiki
 
A Note on Sources: Many people believe wikis make for unreliable sources because they can be edited by anyone. I think this is a valid criticism, but it is worth noting that everything used in this article that was taken from wikis can be found within the primary source material (the Death Battle episode “Yang VS Tifa” and the video game Final Fantasy VII). The DB Wiki and the FF Wiki are referenced in this blog simply because they compile the information from the primary sources in a format that is both easy to read and access.  All content featured belongs to its creators.