Multistrike - A solution to the problem Top (and with spellvamp, too!)

So, first off, the problems we're facing are pretty well documented on reddit when it comes to top lane and general ad itemization. Part of what it comes down to is simply that too many classes or subclasses of champs are interested in too many of the same item. At the same time, there's an issue with certain niche items/masteries on certain niche champs being far too powerful when used to their greatest effectiveness because of balance issues related to the overall strength of those things. So, I propose a new stat and related items be added or changed so as to offer an additional balance lever.

Now just what is Multistrike?

1. Multistrike is a stat that goes from 0 to 300 sorta like Critical Strike
2. Multistrike applies to on-hits, on-attacks, and skills (as defined by ravenous hunter).
3. Multistrike does not apply to autoattacks or critical strikes!
4. Then, multistrike is an on-hit proc which has a chance to proc off almost everything except for basic AA's (so on spell hit, on dot hit, etc.)!!
5. Having N Multistrike on most skills gives(non-special effects) 2 separate N/3 chances for 30% bonus damage procs.
6. N-Multistrike on-hit effects, on-attack effects, and stacking effects (special effects) is a N/2 chance for a single full second application of the effect as the multistrike proc.
7. After a multistrike happens, the next attack will only have a single N/3 chance in the case of a non-special effect and will have an N/4 chance in the case of special effect.
8. Abilities can count as multistrike abilities in which case they gain 1.25x the benefit from multistrike, but will only work 1/5th as well with skill vamp.

Now, you've probalby got a few questions.

#Q/A

1. Q: What is Skill vamp?
   A: It's something special on Ravenous Hunter which works with almost every skill except for a few like Draven's Q. In this case we would count Vlad's Q, R, and maybe R as multistrike; Akali's Passive, Q, R would count as multistrike; etc. so that skill vamp items would not be easily abused (because they're practically designed for several champs who may want multistrike in at least a few cases, but I think the design is too interesting to permanently abandon and the PBE changes to morgana show RIot agrees).

2. Q: Would this help top lane?
   A: I'm glad you asked because I definitely intend it to help with top lane's woes. Specifically, I want to provide alternative sustain for champs who aren't Riven (since in-depth stats show several champs with just ad scalings like riven currently have at least one keystone they win with even if it's something silly. But multistrike would add additional scaling for cheap akin to as/crit for champions like Renekton who would, I believe, like several of the items I've created below as examples of multistrike. SImilarly, Udyr, Ekko, Jhin, Azir, Akali, Lucian, and others would likely enjoy generally 2+ of the below items in at least one build while not overly benefitting any already very strong champs except for a few junglers and maybe one or two mids plus MF all of whom would probably have to be rebalanced eventually anyways if more items they'd be interested in were added. That is, multistrike would primarily help those who are struggling right now and the rest it would help would either not be made OP, would get items like the below modified/nerfed before release, or would only get small changes which they may already need (e.g. Xin Zhao and MF).

3. Q: Can you give an example of how Multistrike would Work?
   A: Of course! Say, that you're Teemo. Then if you cast your Q it would have say a base 5 chance to multistrike from runes and then 30*.1=33 so 38/3 chance to proc for up to 30% of the base damage. That is, a cast would have TWO 12.666% (repeating of course) chances to do, say, 0.3*[260 + (1000.8)] = 0.3[260+80] = 102 bonus damage when it hits if Teemo has 10 bonus ap from something besides floater for 100 ap total. From Ravenous Hunter testing I know Teemo's E counts as a regular skill and so will also work with Multistrike, but in the case of DoT's a full application of the DoT is done, but only on the initial damage/application. So, Teemo's E would do both 30% of the initial burst and apply a second DoT at 30% strength, so if he double proc'd he'd be doing 1.6*[34+(1000.7)] =1.6104 = 166.4 total damage from a level 1 E which proc'd multistrike twice (as per the wiki's calcualtions for total damage on E). If Teemo had BorK however then he'd have a 38/2 = 19% chance to apply BorK's on hit twice for 28 = 16% of the opponent's current health (min 215=30).

#Items:
(NEW) Singular Blade:
+10 Attack Damage
+10 Multistrike
Cost (650 Gold): short sword (350 Gold) + combine cost (300 Gold)

New: Non-Singular Blade:
+20 Attack Damage
+25 Multistrike
Cost (1200 Gold): Singular Blade (650 Gold) + Singular Blade (650 Gold) + Combine Cost (100 Gold)

(NEW) Duelist's Bloodblade :
+55 Attack Damage
+15 lethality
+15 Multistrike
+250 Health
Passive: RAGE: Basic attacks (on-hit) grant +20 flat movement speed for 2 seconds. Killing a unit grants +60 flat movement speed instead. Bonus movement speed is halved on Ranged role ranged champions.
Cost (3200 Gold): Phage (1250 Gold) + Serrated Dirk (1100 Gold) + Singular Blade (650 Gold) + Combine Cost (200 Gold)

(NEW) Ionian Blade of the Shadows:
+80 Attack Damage
+15 Lethality
+30 Multistrike
Cost (3700 Gold): BF Sword (1300 Gold) + Serrated Dirk 1100 Gold (Serrated Dirk) + Non-Singular Blade(1200 Gold) + Combine Cost (100 Gold)

(Refurbished) Stinger:
+30% Attack Speed (-5% compared to live)
+5 Multistrike (+5% compared to live)
Cost (1150 Gold): Dagger (300 Gold) + Dagger (300 Gold) + Combine Cost (550 Gold) (+50 compared to live)

(Refurbished) Nashor’s Tooth +45% Attack Speed (-5% compared To Live) +10 Multistrike (+10% compared to Live). Cost (3100 Gold): Stinger (1150 Gold) + Fiendish Codex (900 Gold) + Combine Cost (1050 Gold) (+100 compared to live)

(Refurbished) Triforce:
35% Attack Speed (-5% compared to live)
+10 Multistrike (+10% compared to live)
Cost (3430 Gold): Stinger (1150 Gold) + Sheen (1050 Gold) + Phage (1250 Gold) + Combine Cost (373 Gold) (+100 compared to live)

(NEW) Floater:
+90 AP
+35% Attack Speed
+30 Multistrike
+10% CDR
+10% movement speed
Cost (3100 Gold): Stinger (1150 Gold) + Aether Wisp (850 Gold) + Blasting Wand (850 Gold) + Combine Cost (350 Gold)

(Refurbished) Guinsoo’s Rageblade:
Passive:
…..
Guinsoo’s Rage: You gain 50% multistrike and your on-hit effects count as benefitting from twice your actual multistrike (if you have 100 multistrike then when calculating on-hits your chance to multistrike will use 200 instead of 100 as the relevant multistrike value).

(NEW) Skilling Pamphlet:
+30 AP
Unique Passive: +5% Skill Vamp (Your abilities heal you for a percentage of the damage dealt, 33% as effective for AoE and 20% as effective for Multistrike).
Cost (1500 Gold): Amp Tome (435 Gold) + Amp Tome (435 Gold) + Combine Cost (630 Gold)

(NEW) Tome of Skill:
+100 AP
Unique Passive: +12% Skill Vamp (see above)
Cost (3200 Gold): Skilling Pamphlet (1500 Gold) + NLR (1250 Gold) + Combine Cost (250 Gold)

(NEW) The Pen
+30 ad
+15 Lethality
+35 ap
+35 multistrike
Unique Passive: +10% skill vamp (see above)
Cost (3000 Gold): Non-Singular Blade (1200 Gold) + Skilling Pamphlet (1500 Gold) + Combine Cost (300 Gold)

#Runes:

Domination (2nd Row): Gain 50% Multistrike whenever you place or attack a ward.

Precision (2nd Row): Gain 1% Multistrike and 1.2% Multistrike for every Legend stack (up to 12% Multistrike).

Sorcery (new 4th Row):

1. While not in lane (in Base, jungle, or River) gain +10% Multistrike
2. Gain 15% Multistrike for 5 seconds after casting your ultimate.
3. All sources of Multistrike give 10% more than listed. Gain 5% multistrike.