Morello, I'm calling your bluff! (and I would love to hear what you have to say about the Ryze changes)

UPDATED: Now has both single-target and teamfight damage calculations. Also recalculated everything with his passive thrown into the mix, to give a more accurate portrayal of what his damage is like. To those who say his damage went down and I was just not taking everything into consideration: it didn't.

UPDATED: OogaSplat made a good point in another thread; I'll add more number crunching to this tomorrow. You guys can find the post here:

UPDATED: It's confirmed. Ryze is getting buffed.
UPDATED: I now have math for Ryze's damage output at levels 6, 11, 16, and 18, not just level 18. I have taken the liberty of adjusting the items he has to match his level.

NOTE I'm using UNIMITIGATED damage, meaning his actual DPS is not as high as it looks in here; this is his damage BEFORE MR is calculated. I ignored MR because MR will reduce his DPS by the same % regardless of whether he has 10 DPS or 9001 DPS.
NOTE People don't seem to notice I'm using the exact same build for both new and old calculations.
NOTE I did not his ultimate and his MR reduction in these calculations. This is because his % change in DPS is not affected by these things, only his actual DPS. These factors will increase his DPS by the same % regardless of whether he has 10 DPS or 9001 DPS.


So, people say "Ryze is getting nerfed! People won't run the Sorc's BV FH AA WotA Void Staff build on him!"

Now before I start, there are a few assumptions I made:
Assumed runes: Movespeed Quints, MPen Marks, Armor or Health/lv Seals, MR Glyphs.
Assumed masteries: 9/0/21 with max Expanded Mind
Assumed build order: Boots + 3 > Tears > Catalyst > Sorc's > Glacial Shroud > Banshee's Veil > Frozen Heart > WotA > AA > Void Staff (the last two are exchangeable depending on how much MR the enemy team has built)
Assumed combo: Q, W, and E are used whenever they are up. Every rotation begins with QWE. Every ability has a 0.1s cast animation.


Rotation at different % CDRs
Okay, so I thought that Ryze's passive would not really affect his rotation. I was wrong. Therefore, I'm going to do the math here and rework the rotations at differnet CDRs.
Okay. That's a lot. It took me a while just to type it out even though it was all subtraction. Assuming a 0.1s cast animation time still, Ryze takes 7.12 seconds to go from the beginning of his first cycle to the beginning of his second cycle. It then takes another 7.12 seconds to go from the beginning of his second cycle to the beginning of his third cycle. After that, it takes 7.86 seconds that to go from the beginning of one cycle to the beginning of the next. Very rarely will you ever make it to 3 cycles, especially considering you're level 6. Let's be super generous and say you'll get exactly 2 cycles 15% of the time, exactly 3 cycles 4% of the time, exactly 4 cycles 0.75% of the time, and exactly 5 cycles 0.25% of the time. 1 cycle takes 7.12 seconds to complete. 2 cycles takes 14.24. 3 cycles takes 22.1. 4 cycles takes 29.96. 5 cycles takes 37.82. Let "c" be a unit that measures cycles.
(7.12s * .8)/1c + (14.24s * .15)/2c + (22.1s * .04)/3c + (29.96s * .0075)/4c + (37.82s * .0025)/5c = 7.134 seconds per cycle, on average. Each cycle consists of 3 Q's, 1 W, and 1 E.

As you can see, sets 1 and 2 again take less time than set 3 and every set thereafter. Sets 1 & 2 take 5.125s, whereas all following sets take 5.2s. Very rarely will you ever make it to 3 cycles. Let's be super generous and say you'll get exactly 2 cycles 15% of the time, exactly 3 cycles 4% of the time, exactly 4 cycles 0.75% of the time, and exactly 5 cycles 0.25% of the time. 1 cycle takes 5.125 seconds to complete. 2 cycles takes 10.25. 3 cycles takes 15.45. 4 cycles takes 20.65. 5 cycles takes 25.85. Let "c" be a unit that measures cycles.
(5.125s * .8)/1c + (10.25s * .15)/2c + (15.45s * .04)/3c + (20.65s * .0075)/4c + (25.85s * .0025)/5c = 5.126 seconds per cycle, on average. Each cycle consists of 3 Q's, 1 W, and 1 E.

Ahh, much easier. With 40% CDR, your rotation only runs one set. In this set, a total of 4.7s pass before you are at the beginning of your rotation again. Therefore, you do 3 Qs, 1 W, and 1 E over the course of 4.7s thanks to your passive.





Let's compare:
Old

• Q - 40/65/90/115/140 + 0.2AP + 0.075mana damage - 3.5s CD (2.94s with 16% CDR) (2.275s with 35% CDR) (2.1s with max CDR)
• W - 60/95/130/165/200 + 0.6AP + 0.05mana damage - 14s CD (11.76s with 16% CDR) (9.1s with 35% CDR)(8.4s with max CDR)
• E - 6 hits of 50/70/90/110/130 + 0.35AP damage - 14s CD (11.76s with 16% CDR) (9.1s with 35% CDR) (8.4s with max CDR)
• R - 75/150/225 mana

Ryze at level 6 with these abilities and a newly-bought Tear has the following:

• 1077 mana (350 from Tear, 75 from ult, 72 from Expanded Mind)
• 0 AP
• 16% CDR (6% from lv3 Q, 10% from masteries)

Every 7.134s you get off:

• 3 Q's for 171 damage each (513 total damage)
• 1 W for 114 damage
• 1 E for 50 damage per hit (300 total damage) (150 total single-target damage)
• Total damage = 927 damage over 7.134s or 129.94damage/sec.
• Total single-target damage = 777 damage over 7.134s or 108.92damage/sec

Ryze at level 11 with these abilities and Tear (+400 mana from passive), Catalyst, and Glacial Shroud has the following:

• 2637 mana (750 from tear, 150 from Ult, 132 from Expanded Mind, 325 from Catalyst, 425 from Glacial Shroud)
• 0 AP
• 35% CDR (10% from Q, 10% from masteries, 15% from Glacial Shroud)

Every 5.126s you get off:

• 3 Q's for 338 damage each (1014 total damage)
• 1 W for 262 damage
• 1 E for 50 damage per hit (300 total damage) (150 total single-target damage)
• Total damage = 1576 damage over 5.126s or 307.45damage/sec.
• Total single-target damage = 1426 damage over 5.126s or 278.19damage/sec

Ryze at level 16 with these abilities and Tear (+800 mana from passive), Banshee's Veil, Frozen Heart, WotA, and a Blasting Wand towards his AA has the following:

• 3577 mana (1150 from Tear, 225 from Ult, 192 from Expanded Mind, 375 from BV, 500 from FH)
• 120 AP (80 from WotA, 40 from Blasting Wand)
• 40% CDR (10% from Q, 10% from masteries, 20% from Frozen Heart)

Every 4.7s you get off:

• 3 Q's for 432 damage each (1296 total damage)
• 1 W for 451 damage
• 1 E for 132 damage per hit (792 total damage) (396 total single-target damage)
• Total damage = 2539 damage over 4.7s or 540.21damage/sec.
• Total single-target damage = 2143 damage over 4.7s or 455.96damage/sec.

Ryze at level 18 with these abilities and full build has the following:

• 3956 mana (225 from R passive, 1400 from AA, 500 from Frozen Heart, 375 from Banshee's Veil, 216 from Expanded Mind)
• 313 AP (80 from WotA, 70 from Void Staff, 163 from AA)
• 40% CDR (10% from masteries, 10% from Q passive, 20% from Frozen Heart)

Every 4.7s you get off:

• 3 Qs of 499 damage each (1497 total damage)
• 1 W of 585 damage
• 1 E of 239.5 damage per hit (1437 total damage) (719 total single-target damage)
• Total damage = 3519 damage over 4.7s or 748.72damage/sec.
• Total single-target damage = 2801 damage over 4.7s or 595.96damage/sec.

New

• Q - 60/85/110/135/160 + 0.4AP + 0.065mana damage - 3.5s CD (2.94s with 16% CDR) (2.275s with 35% CDR) (2.1s with max CDR)
• W - 60/95/130/165/200 + 0.6AP + 0.045mana damage - 14s CD (11.76s with 16% CDR) (9.1s with 35% CDR)(8.4s with max CDR))
• E - 6 hits of 50/70/90/110/130 + 0.35AP + 0.01mana damage - 14s CD (11.76s with 16% CDR) (9.1s with 35% CDR)(8.4s with max CDR)
• R - movespeed active (we'll talk about this later)

Ryze at level 6 with these abilities and a newly-bought Tear has the following:

• 1002 mana (350 from Tear, 72 from Expanded Mind)
• 0 AP
• 16% CDR (6% from lv3 Q, 10% from masteries)

Every 7.134s you get off:

• 3 Q's for 175 damage each (525 total damage)
• 1 W for 105 damage
• 1 E for 60 damage per hit (360 total damage) (180 total single-target damage)
• Total damage = 990 damage over 7.134s or 138.77damage/sec.
• Total single-target damage = 830 damage over 7.134s or 116.34damage/sec

Ryze at level 11 with these abilities and Tear (+400 mana from passive), Catalyst, and Glacial Shroud has the following:

• 2487 mana (750 from tear, 132 from Expanded Mind, 325 from Catalyst, 425 from Glacial Shroud)
• 0 AP
• 35% CDR (10% from Q, 10% from masteries, 15% from Glacial Shroud)

Every 5.126s you get off:

• 3 Q's for 322 damage each (966 total damage)
• 1 W for 242 damage
• 1 E for 74.87 damage per hit (449 total damage) (225 total single-target damage)
• Total damage = 1657 damage over 5.126s or 323.25damage/sec.
• Total single-target damage = 1432 damage over 5.126s or 279.36damage/sec.

Ryze at level 16 with these abilities and Tear (+800 mana from passive), Banshee's Veil, Frozen Heart, WotA, and a Blasting Wand towards his AA has the following:

• 3352 mana (1150 from Tear, 192 from Expanded Mind, 375 from BV, 500 from FH)
• 120 AP (80 from WotA, 40 from Blasting Wand)
• 40% CDR (10% from Q, 10% from masteries, 20% from Frozen Heart)

Every 4.7s you get off:

• 3 Q's for 426 damage each (1278 total damage)
• 1 W for 422 damage
• 1 E for 165.5 damage per hit (993 total damage) (497 total single-target damage)
• Total damage = 2693 damage over 4.7s or 572.98damage/sec.
• Total single-target damage = 2197 damage over 4.7s or 467.45damage/sec.

Ryze at level 18 with these abilities and full build has the following:

• 3731 mana
• 307 AP (80 from WotA, 70 from Void Staff, 157 from AA)
• 40% CDR

Every 4.7s you get off:

• 3 Qs of 525 damage each (1575 total damage)
• 1 W of 552 damage.
• 1 E of 274.75 damage per hit (1649 total damage) (824 total single-target damage)
• Total damage = 3776 damage over 4.7s or 803.40damage/sec.
• Total single-target damage = 2951 damage over 4.7s or 627.87damage/sec.

Early game damage gained is 8.81 damage/sec (7.42 single target) with just Tears. This is a 6.78% (6.81% single target) damage increase for early game.
Mid game damage gained is 15.80 damage/sec (1.17 single target) with Tears, Catalyst, and Glacial Shroud. This is a 5.14% (0.42% single target) damage increase for mid game.
Late game damage gained is 32.77 damage/sec (11.49 single target) with Tears, Banshee's Veil, Frozen Heart, WotA, and a Blasting Wand. This is a 6.07% (2.52% single target) damage increase for late game.
Super late game damage gained is 54.68 damage/sec (31.91 single target) with full build. This is a 7.30% (5.35% single target) damage increase for the very late game.
Also, the movement speed buff on his R lets him stay in range much longer, meaning he can continue to do damage more consistently. So overall, he actually gains even more dps with his PBE changes.
The fact that his E prioritizes champions now means it'll increase his dps even more.
It might be worth it to note that, with the WotA nerf, Ryzes might actually keep the Revolver (unless running double AP) and get an AA earlier thanks to increased AP ratios.
Someone mentioned Q range... Yes, Q's range went from 675 to 650. This isn't too significant, however, as Ryze's W's range is already 625. Ryze typically wants to remain within 600 of the enemy champion (actually closer, if possible), and the movespeed buff on his ult more than makes up for his Q's loss of 25 range.

So those of you hoping for Ryze nerfs, keep your fingers crossed the "nerfs" won't be the changes they made on the PBE.


tl;dr: Ryze "nerfs" on PBE are actually buffs. He can build the exact same way (and, therefore, be just as tanky), and his damage actually increases. The only point where his damage doesn't increase by a significant amount is his single target damage at level 11 (it still increases a little, but you won't be able to tell the difference).

It better not be a buff, GOD DAMBIT ryze is broken as a mother****er and noone ever agrees, even though he doms high level play, low level play, any play. HE JUST ****ING WINS.

don't forget the added utility of change to ryze e as well as the bonus movement speed for his ult. That makes ryze stronger overall.

I did mention the movespeed.
His E now prioritizing champions helps a lot.

And at the poster above you, yes, the PBE changes do look like a buff to me when I crunch the numbers.

Bump because some people still think it'll be a bad idea to build the same way as before.

Actually, he's stronger in early game, too, thanks to higher base damage. His damage becomes stronger than it was before when he gets his AA.
The only difference I can see this change making is you'll get your AA as your 4th/5th item (depending on when you get WotA), rather than finishing it last. So yes, his damage around 15-25 minutes will be slightly weaker (not very significantly). Overall, it's still a buff.

EDIT: Actually, I've crunched it out now and his damage is stronger all game. Sorry about that.

ertyui

This Thread proves once again that Balance Team doesnt have a freaking clue what they are doing.

All they needed to do was reduce mana scaling by some and reduce base damage (where to do these changes would depend because the priority to champions with E was a needed change). But no, balance team decides it's time to throw things on Ryze that he didn't need, which in end of course became a buff advertised as nerfs.