# Riventistics

**As the title of my blog said, this is a blog on Rivens, and statistics, everything you need to know on the numbers of riven, your luck in getting a riven that you want, and most importantly, this blog is made to make you feel extra good when you got a god-tier riven.**

## Basic Information regarding Rivens

Alrighty, first of all, Rivens are purple mods that costs alot of capacity points - 18 at max rank, that have randomized stats, ranging from extremely shitty stats like + 100% Zoom or extra Projectile Speed on a Hitscan weapon (That's just sad), to extremely godly stats such as extra raw damage, Multishot, etc... that people would give you a succ for. For more information, visit this page.

Time to tackle the basic information: Okay, as we all know, Rivens have 24 positive stats which includes the 4 stats which gives elemental damage, and 19 negative stats (basically all positive stats can be negative, except for elemental damage and Punch Through, I call them "The five happy stats"). Also, each stat on a Riven can only appears once on a Riven. You can look on this chart for detailed info on what are the stats.

Effect | Prefix/Core | Suffix |
---|---|---|

Ammo Maximum | Ampi | Bin |

Damage vs. Corpus | Manti | Tron |

Damage vs. Grineer | Argi | Con |

Damage vs. Infested | Pura | Ada |

Cold Damage | Geli | Do |

Critical Chance | Crita | Cron |

Critical Damage | Acri | Tis |

Base Damage | Visi | Ata |

Electric Damage | Vexi | Tio |

Fire Damage | Igni | Pha |

Fire Rate | Croni | Dra |

Flight Speed | Conci | Nak |

Impact Damage | Magna | Ton |

Magazine Capacity | Arma | Tin |

Multishot | Sati | Can |

Poison Damage | Toxi | Tox |

Punch Through | Lexi | Nok |

Puncture Damage | Insi | Cak |

Reload Speed | Feva | Tak |

Slash Damage | Sci | Sus |

Status Chance | Hexa | Dex |

Status Duration | Deci | Des |

Recoil | Zeti | Mag |

Zoom | Hera | Lis |

**Riven Category**:Rifle, Shotgun and Pistol, the general classification for Rivens.

**Riven Types**: Rivens are divided into four types

- 2 Positive Stats.
- 3 Positive Stats.
- 2 Positive and 1 Negative Stats.
- 3 Positive and 1 Negative Stats.

**Designated Weapon**: The Riven's weapon.

**What's the total amount of Riven combinations are there?**

**What's the total amount of Riven combinations are there?**

*This is purely a mathematical question, even though quite long and boring, but yes, they have a number, and it's huge. To be fair, i just thought about this like 2 hours ago, and i wrote down all the math on a paper. Now, i will show it to you all (and hopefully my math's not that shitty for you to bash me, please don't).*

*Note: Because I'll only count the combinations, which means the order of the stats doesn't matter, so it's going to be Combination instead of Permutation*

**2 Positive stats (2P)**

This should be fairly straightforward, we have 24 stats eligible to be the positive stats, so this mean you choose 2 stats out of 24 stats: 24C2 = 276
=> There are **276** possible 2 Positive-riven combinations.

**3 Positive stats (3P)**

Again, straightfoward, you choose 3 stats out of 24 stats: 24C3 = 2024
=> There are **2024** possible 3 Positive-riven combinations.

**2 Positive stats and 1 Negative stat (2P1N)**

This is the tricky part, as i've mentioned before, the negative stat cannot be the same as the positive stats (this mean you cannot have positive critical chance and negative critical chance on a same riven), and adding into the mess, it cannot be negative elemental damage or punch through. So i'll split this into 3 branches.

- 2P1N with no "happy" stat: You choose 2 stats out of 19 stats, and for each combination, you can choose 1 out of the 17 remaining stats to be the negative: 19C2 × 17 = 2907
- 2P1N with
**ONE**"happy" stat: You choose 1 "happy" stat out of 5, 1 non-happy stat from the 19, and for the negative stat, 1 out of 18: 5 × 19 × 18 = 1710 - 2P1N with
**TWO**"happy" stats: 2 out of 5, and for the negative stat, 1 out of 19: 5C2 × 19 = 190

=> Adding the numbers up, we have: 2907 + 1710 + 190 = 4807.
There are **4807** possible 2P1N-riven combinations.

**3 Positives stats and 1 Negative stat (3P1N)**

Let's just cut to the chase because i've explained everything on top, for this type, I'll split this into 4 branches:

- 3P1N with no "happy" stat: You choose 3 out of 19 stats for the positives, and 1 out of the remaining 16 for a negative stat: 19C3 × 16 = 15504
- 3P1N with
**ONE**"happy" stat: 1 out of 5, 2 out of 19, and 1 out of 17, this is getting repetitive: 5 × 19C2 × 17 = 14535 - 3P1N with
**TWO**"happy" stats: 2 out of 5, 1 out of 19, and 1 out of 18 for the negative: 5C2 × 19 × 18 = 3420 - 3P1N with
**THREE**"happy" stats: 3 out of 5, and 1 out of 19 for the negative: 5C3 × 19 = 190

=> Adding the numbers up, we have: 15504 + 14535 + 3420 + 190 = 33649.
There are **33649** possible 3P1N-riven combinations.

===> **WE HAVE 33649 + 4807 + 2024 + 276 = 40756 RIVEN COMBINATIONS**

* P/S*: That's just Riven Combinations, as for Riven

*Mods*, multiply that number above with 125 (this includes Artax Riven). Have fuuuunnnnn..., you'll need it.

**Riven names**

**Riven names**

Regarding names, we'll combine 2P and 2P1N into one group, while 3P and 3P1N also goes into one group, simple because the negative stat doesn't get to be displayed.

About how names work: Every stat has a Prefix/Core (I call this A) and a Suffix (I call this B), we have a simple name structure:

- AB for 2P and 2P1N
- A-AB for 3P and 3P1N

This time, because orders matter, we'll be using Permutations, so let's get down to the math, shall we?

**AB**

We have 24 ways to choose A, and 23 ways to choose B: 24P2 = 552 => 552 possible AB names for riven

**A-AB**

We have 24 ways to choose the first A, 23 for the second A, and 22 for B: 24P3 = 12144 => 12144 possible A-AB names for riven ===> In total, we have 12144 + 552 = 12696 possible names. One 3P Riven name can be shared among many combinations, up to 17 different combinations.

P/S: Theres no such thing as Tonkor Visi-Visiata

**What do I need to know about rolling fresh Rivens?**

**What do I need to know about rolling fresh Rivens?**

In WARFRAME currently (Update 20), there are more than 200 weapons that can use rivens, however because most variant from one weapon use the same riven, and as stated above, we have exactly 124 different types of weapons eligible for Rivens, 55 for Primary Rifles/Bows, 10 for Shotguns, and 59 for Sidearms (both include Sentinel weapons).

When you're unlocking a fresh veiled riven, assuming that you already have the desired category of the veiled riven (example if you want a Boar Riven and you have a veiled Shotgun riven to unlock, in case my english sucks dicks), it's still pretty much a gamble to get yourself a decent enough Riven to use, or make quick platinum.

*NOTE*: I've yet to know how exactly does the game compute when it comes to churning out the Riven Type, presuming that the game picks the Designated Weapon first above all else. With that said, it can be either:

- First theory: Equal 25% for each Riven Type and then each Riven Type has it's own calculation.
- Second theory: The percentage is distributed equally to 42780 Riven combinations.

**First Theory:**

**First Theory:**

**Rifles**: From a Veiled Rifle Riven, you will have 1/55 chance to get your desired Rifle, and then 25% to get the specific Riven Type. After that, calculation is split into 4 branch.*2P*: 1 out of 276 => (1 ÷ 55) × (1 ÷ 4) × (1 ÷ 276) = (1 ÷ 60720) (~**0.00165%**)*3P*: 1 out of 2024 => (1 ÷ 55) × (1 ÷ 4) × (1 ÷ 2024) = (1 ÷ 445280) (~**0.00022%**)*2P1N*: 1 out of 4807 => (1 ÷ 55) × (1 ÷ 4) × (1 ÷ 4807) = (1 ÷ 1057540) (~**0.00009%**)*3P1N*: 1 out of 33649 => (1 ÷ 55) × (1 ÷ 4) × (1 ÷ 33649) = (1 ÷ 7402780) (~**0.00001%**) (LUL)

**Shotguns**: Again, from a Veiled Shotgun Riven, you'll have 1/10 chance to get your desired Shotgun, 25% for Riven Type, and SPLIT!*2P*: 1 out of 276 => (1 ÷ 10) × (1 ÷ 4) × (1 ÷ 276) = (1 ÷ 11040) (~**0.00905%**)*3P*: 1 out of 2024 => (1 ÷ 10) × (1 ÷ 4) × (1 ÷ 2024) = (1 ÷ 80960) (~**0.00123%**)*2P1N*: 1 out of 4807 => (1 ÷ 10) × (1 ÷ 4) × (1 ÷ 4807) = (1 ÷ 192280) (~**0.00052%**)*3P1N*: 1 out of 33649 => (1 ÷ 10) × (1 ÷ 4) × (1 ÷ 33649) = (1 ÷ 1345960) (~**0.00007%**)

**Sidearms (Pistols)**: Veiled Pistol Riven, you'll have 1/59 chance to get your desired Sidearms, 25% for Riven Type, and here we go again*2P*: 1 out of 276 => (1 ÷ 59) × (1 ÷ 4) × (1 ÷ 276) = (1 ÷ 65136) (~**0.00153%**)*3P*: 1 out of 2024 => (1 ÷ 59) × (1 ÷ 4) × (1 ÷ 2024) = (1 ÷ 477664) (~**0.00020%**)*2P1N*: 1 out of 4807 => (1 ÷ 59) × (1 ÷ 4) × (1 ÷ 4807) = (1 ÷ 1134452) (~**0.00008%**)*3P1N*: 1 out of 33649 => (1 ÷ 59) × (1 ÷ 4) × (1 ÷ 33649) = (1 ÷ 7941164) (~**0.00001%**)

As you can see, the numbers are so tiny, but we have more than 30 million registered loser... I mean players, so everyday lots of god tier Rivens are being created everyday.

**Second Theory:**

This is MUCH simpler comparing to the first theory. That's all I have to say on this.

*Rifles*: 1 out of 55 and then it's RNGesus just as bad as the lottery, if not worse: (1 ÷ 55) × (1 ÷ 40756) = (1 ÷ 2241580) (~**0.00004%**)*Shotguns*: 1 out of 10, and the wheels of fortune spins... : (1 ÷ 10) × (1 ÷ 40756) = (1 ÷ 407560) (~**0.00024%**)*Sidearms (Pistols)*: 1 out of 59, and you know where this is going: (1 ÷ 59) × (1 ÷ 40756) = (1 ÷ 2404604) (~**0.00004%**)

At least this is more ... balanced, still, very small numbers LUL.

**Friendly Reminder**

The tiny numbers you see above are the chance to get the *perfect* riven (the one, tailor-made for you), it's much more narrow than *god* riven which includes multiple combinations
depending on weapons. So, cheer up, it's not the end of the world when you don't have the perfect riven of your dream.

This picture might be something that'll cheer you up, I found the Riven of my dream a month ago, it has a hefty amount of Fire Rate, that's why I was able to replace Speed Trigger with this Riven, and that extra raw damage and Critical Chance is just pure godsend (mmm), anyways, good luck to all the dreamers, I hope the one perfect for you will come soon!

**What you need to pay attention to regarding Rivens**

**What you need to pay attention to regarding Rivens**

Riven is a complex thing to master, no one can truly stand up and say "I know everything about rivens" or "I have mastered every aspects of Rivens and whatnot", but you can at least grasp the knowledge you need to not get scammed, or to put up a goal for your Riven to aim at.

**Disposition and stats' value**

A very hot topic many people have been discussing again and again - Dispositions, the thing that will decide whether the Riven has high stat values, or low stat values, they are determined by the Designated Weapon, and each weapon has a specific disposition number. I will classify the Disposition into 5 classes (a bit more detailed than this page).

- -
*Very Strong*: Applied to weapon type you ALMOST never seen, due to poor performance (without a Riven), like Kraken and Glaxion. - -
*Strong*: You see the weapon types that has Strong Disposition a slight bit more often, but it's still rare nontheless, and most users are true fans of said weapons such as Daikyu and Opticor. - -
*Neutral*: The stats for Rivens with Neutral Disposition has the least difference comparing to normal mods version of said stats (My old Paris Toxican only give 3% extra Toxin damage comparing to Infected Clip), you should see these weapons often, example Paris (Prime of course), Braton (also Prime). - -
*Weak*: These weapons pop up frequently, you should see someone using them on normal missions like... probably... once every 4 - 5 missions, they are Dread, Sybaris and Dex Sybaris, and Quanta Vandal. - -
*Faint*: Reserved for the most popular weapon, and they are popular because that their normal stats combining with normal mods perform well enough to not even need a Riven (Tonkor pre-patch LUL).

As for the stats, the Dispositions changes the value at each rank, with the exact formula unknown, but here are something that I've gathered up with experience:

- The stats on the Riven mod are based on those on normal mods, so you can probably use those numbers as a Benchmark.
- The Disposition value act as multiplier, combining with the Benchmark values to create the Riven value. However, it is unknown how does the math work exactly, and also, the exact value is subjected to change, either:
- Increase: The positive riven stats will be boosted if they exist along with a negative stat in the combination: A 2P1N with same positive Riven stats will always have bigger values (on the positive stats of course) than those on a 2P Riven.
- Decrease: The more amount of positive stats are there, the smaller the values will be. You'll never see a + Damage stat on a 3P Riven to have a bigger value than a + Damage on a 2P Riven.

- Negative stats are also affected by the Disposition, their value will be smaller if they appear on a Tonkor Riven, and much bigger if they appear on a Glaxion Riven.
- Final thing: Rivens DOES NOT give bonuses to weapon-based abilities (Peacemaker, Artemis Bow and Razorwing's Dex Pixia make fine examples), because:
- Rivens are weapon specific.
- DE already knew how broken these abilities can be if Rivens give them bonuses, especially Very Strong Riven (Imagine a Tysis Riven that has +400% raw damage and it GIVES bonus to Mesa's Peacemaker). And then, we'll have a vicious cycle: Trash weapons become popular solely due to Riven purpose --> DE nerf the Rivens for trash weapons and buffs the top tier weapons' Rivens up --> Players starts using good weapons again now that their Rivens are god --> DE nerf the Rivens for top tier weapons and buff up the trash's --> Rinse and repeat.

**Choosing what stat is good and what is bad**

It's very simple to be honest, but I'll make it even simpler for everyone, by making a chart

Full - Auto (All full auto rifles, full auto shotguns, sidearms, beam weapons,...) | Semi - Auto (including Snipers, semi - auto shotguns, grenade launchers, Tigris family and Bows) | Burst Gun (everything that is shot in burst) | Personal comment | ||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|

Crit (Soma Prime, Aksomati) | Status (Karak Wraith, Akstilleto Prime) | Raw damage (Boltor) | Crit (Tenora) | Status (Grinlok) | Duplex - auto (Tigris) | Raw damage (Opticor, Sonicor) | Crit (Dex Sybaris, Sicarus Prime) | Status (Hema, Burston Prime) | Raw damage (Tiberon) | ||||

Raw Damage | ✔✔✔ | ✔✔✔ | ✔✔✔ | ✔✔✔ | ✔✔✔ | ✔✔✔ | ✔✔✔ | ✔✔✔ | ✔✔✔ | ✔✔✔ | Must have on any Riven, most valuable stat | ||

Multishot | ✔✔✔ | ✔✔✔ | ✔✔✔ | ✔✔✔ | ✔✔✔ | ✔✔✔ | Simulor: ~ | ✔✔✔ | ✔✔✔ | ✔✔✔ | Must have as well, also valuable | ||

Others: ✔✔✔ | |||||||||||||

Extra Elemental Damage | ✔✔ | ✔✔ | ✔✔✔ | ✔✔ | ✔✔ | ✔✔✔ | ✔✔✔ | ✔✔ | ✔✔ | ✔✔✔ | Now who can say they don't need elemental damage? | ||

Critical Chance & Critical Damage | ✔✔✔ | ✔ | ✔ | ✔✔✔ | ✔ | ✔ | ✔ | ✔✔✔ | ✔ | ✔ | 2k17 meta, great stat to have | ||

Status Chance | ✔ | ✔✔✔ | ✔ | ✔ | ✔✔✔ | ✔✔ | Stug and Sonicor: ✘ | ✔ | ✔✔✔ | ✔ | Not meta, but stronger than crit | ||

Others: ✔ | |||||||||||||

Extra Physical Damage | Physical damage weapons: ✔ | A decent stat to have, but... eh | |||||||||||

Elemental damage weapons: ✘ | |||||||||||||

Damage vs. Factions | JUST NO | ||||||||||||

Reload Speed | Fast base reload speed: ~ | Fast base reload speed: ~ | Fast base reload speed: ~ | Only good on several weapons | |||||||||

Slow base reload speed: ✔✔ | Slow base reload speed, and Tigris: ✔✔ | Slow base reload speed: ✔✔ | |||||||||||

Fire Rate | Tenora, or guns with low fire rate: ✔ | Weapons with charge time: ✔✔✔ | ✔✔ | Great stat to have for anything that has a charge time | |||||||||

Others: ~ | Tigris: ✘ | ||||||||||||

Others: ~ | |||||||||||||

Recoil | Low base recoil: ~ | Opticor and Bows: ✘ | ✔ | Depends on the weapon, but it makes a good negative for Bows and Opticor | |||||||||

High base recoil: ✔ | Others: ~ | ||||||||||||

Punch Through | ✔ | Bows: ~ | ✔ | Decent for everything, godly for Opticor | |||||||||

Opticor: ✔✔✔ | |||||||||||||

Others: ✔ | |||||||||||||

Maximum Ammo | Ammo economy is a problem: ~ | Euphona Prime, Angstrum: ✔ | ✘ | Great negative stat, except for the ammo eaters | |||||||||

Ammo economy is good: ✘ | Others: ✘ | ||||||||||||

Magazine Capacity | ~ | Bows and Tigris: ✘ | ~ | Avoid getting this stat | |||||||||

Others: ~ | |||||||||||||

Euphona Prime, Angstrum: ✔ | |||||||||||||

Zoom | ✘✘✘✘✘✘✘✘✘✘✘✘✘✘✘✘✘✘✘✘✘✘✘✘✘✘✘✘✘✘✘✘✘✘✘ (LOL) | BEST NEGATIVE STAT 2K17 | |||||||||||

Flight Speed | Hitscan and beam weapons: ✘ | Decent negative stat for hitscan | |||||||||||

Non-hitscan weapons: ✔ | |||||||||||||

Status Duration | ✘ | Dread: ~ | ✘ | Good negative stat, only exception is Dread | |||||||||

Others: ✘ |

"✔" means "Good for positive stat" (number of ✔ shows the level of viability, 3 means godly, 2 means very good, and 1 is okay-ish)

"✘" means "Good for negative stat"

If it's "~" that stat is not needed, or shouldn't be on the Riven, neither positive or negative

**Riven twins**

**Riven twins**

Riven twins, a rare occurence when two random players get a same Riven with same stats, and same name. The chance for a player to roll and get the same Riven as yours is... extremely low. Let's take the Ignis Ignitis as an example.

So a random player has a Veiled Rifle Riven to unlock, he/she'll have 1 out of 55 chance for it to be Ignis, and then again, we split into two theories like the above equation, *First theory* and *Second theory*:

: Again, it's 1 out of 276, but remember that for each stat there're 1 prefix and 1 suffix, so this combination has 2 names, this mean we must multiply this with 0.5 => (1 ÷ 55) × (1 ÷ 4) × (1 ÷ 276) × 0.5 = (1 ÷ 121440) (~**First Theory****0.00082%**) (This is just getting smaller and smaller)

: 1 out of of 40756 and then, as same as the first theory, we need to multiply this with 0.5 => (1 ÷ 55) × (1 ÷ 40756) × 0.5 = (1 ÷ 4483160) (~**Second Theory****0.00002%) (Damn)**