User:CanvasK/Max speed

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Revision as of 17:43, April 8, 2022 by CanvasK (talk | contribs) (Don't want to rewrite stuff but want to document this so I'll shoehorn it in here. Modified Falcon's values to see how fast he could go. Don't have his Brawl animation info (can count frames like old times and compare to Rukai's site) so I'm not sure if it is the same 5x value or something else. Got him to about 80 speed in Melee before he went over the ledge)
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updated

In Super Smash Bros. Ultimate, characters can have their speed increased by buffs, (e.g. Monado Arts), spirits, and certain items (e.g. Bunny Hoods). A character's walk and run motion is limited to their scaled, "trans" bone movement. The "trans" bone controls movement of a character in an animation. A character's scale adjusts their model/armature. As the "trans" bone and animations are part of the armature, the character's movements are also scaled. For example, if a character's animation moves them 1.5 units in a frame and they have a scale of 0.8, their animation then moves 1.2 units in a frame. This "scaled" movement (the 1.2 in the example) is then affected by buffs, spirits, items, and the character's movement speed, with the combined result being capped at 5×. The maximum speed a character can go can be estimated by multiplying the "scaled" movement by 5 and the maximum multiplier would be that result divided by the character's normal max speed, assuming they have a smooth animation.

In order to keep a character's animation smooth and not appear like they are sliding across the stage, their "scaled" movement is further scaled to whatever the target speed is. For example, if a character's "scaled" movement is 1.2 units per frame and their running speed is 1.6 units per frame, that movement and animation will be increased by 1.333×. This 1.333× "game" movement then leaves 3.75× (5/1.333) left for other things like buffs, spirits, and items to affect the animation, but in turn affect the movement speed meaning they can reach a maximum speed of 6.0 units per frame (1.6×3.75=6.0).

Some characters don't have smooth, linear movements (such as Jigglypuff's skips), which can cause inconsistencies depending on which frames are scaled or skipped. Mii Brawler for example has some frames where they go 1.4382958 units and some where they go 2.9014592 units, over 1.5 unit difference. Using a max speed spirit team of 6.272× (Primary Weight ↓ (1.4), Ninja style (1.6), 1×Trade-Off Speed ↑ (1.4), 2×Undamaged Speed ↑ (2.0)) will allow Mii Brawler to reach the 5× limit for their slowest and average speed, but a Bunny Hood (2.0) is needed to reach the 5× limit for their maximum speed—this allows for a Mii Brawler to easily out run another one with the same spirit team just by using a Bunny Hood, even if the extra speed is only for a couple frames in the animation cycle. Zero Suit Samus' average max speed is higher than Captain Falcon's, but Captain Falcon can out run Zero Suit Samus because he has a couple frames that let his maximum reach higher. Due to this, characters listed in the tables below that are close in average max speed may not be properly ranked with when done in a long-distance race. But it should also be noted that because of the high speeds and consequential long acceleration times, that this situation is unlikely to be of any significance before a blastzone or ledge is reached even on the largest stages—stages that loop (such as Mario Bros.) will snap characters to the same position when they pass the camera, meaning a character that can loop in 50 frames won't gain any ground on another character that can loop in 50 frames.

This mechanic was added in Brawl and is present in Smash 4 as well.

old

Measured on Mario Bros. by counting the number of frames it takes to loop around. Mario Bros. loops fighters that come within 25u of a blast line. Blast lines are at x=±200u, therefore 400u wide, -25u from both results in 350u. 350u is divided by frames to give speed in u/f. Size verified with Mii Gunner's walk (1u/f) which took 350f to loop.

Spirit team used: Primary Weight ↓ (Cat Peach, 1.4), Ninja style (1.6), 1×Trade-Off Speed ↑ (1.4), 2×Undamaged Speed ↑ (2.0). This team gives a run speed multiplier of 6.272 (the highest currently possible). Maxim Tomatoes and Heart Containers were used to remove the Trade-Off Speed's damage and activate the Undamaged Speeds. If the 6.272 multiplier was reached, a Bunny Hood (2.0) was used to try to push it further.

Fighter buffs, such as Monado Arts, Limit, Deep Breathing, etc. were tested. These hit the same limit as without them and as such were omitted from the list. A slower spirit team could use them to reach the limit, but with this team it is unnecessary.

If a fighter hits their limit, they can still win out in a pushing match against someone with a lower speed. For example, Palutena's limit is slower than Sonic's unmodified max run speed, letting him win in a race. If they run into each other, Palutena wins as she has excess speed past the limit (in another way, if the speed is 8 and the limit is 4, but there is a counter force of 2, 8-2=6 which is still limited to 4 and the counter force loses as 4>2). Using this to test is tricky as these speeds can exceed a lot of fighter's jostle force, which is also reduced by 20% due to the Weight ↓ making it even easier to surpass.

Palutena is the only fighter whose walk limit is over their run limit. Duck Hunt and Steve have equal walk and run limits.


Updated run
Rank Name Normal max run Avg full max Avg full mult Min full max Min full mult Max full max Max full mult
1 Pyra 1.38 12.06358495 8.741728226 12.06070752 8.73964313 12.064644 8.742495652
1 Mythra 2.41 12.06358495 5.00563691 12.06070752 5.004442954 12.064644 5.006076349
3 Terry 1.72 11.71348043 6.810163043 11.31329022 6.577494314 11.8764873 6.904934477
4 Zero Suit Samus 2.31 11.55 5 11.54998 4.999991342 11.550045 5.000019481
5 Little Mac 2.464 11.5461312 4.68592987 10.4023539 4.221734537 11.71117155 4.752910532
6 Sonic 3.85 11.4 2.961038961 11.39995725 2.961027857 11.4000475 2.961051299
7 Captain Falcon 2.552 11.378925 4.458826411 10.4307688 4.08729185 12.3270503 4.830348864
8 Joker 2.06 11.0299 5.354320388 10.9894946 5.334706117 11.0325999 5.355631019
9 Ridley 2.2 10.99625 4.998295455 10.9962025 4.998273864 10.9962975 4.998317045
10 Sora 1.58 10.90908923 6.904486855 10.9065792 6.902898228 10.910928 6.905650633
11 Mii Brawler 1.92 10.4099806 5.421864897 7.191479 3.745561979 14.507296 7.555883333
12 Yoshi 2.046 10.37151938 5.069168805 10.3714383 5.069129179 10.3719459 5.069377273
13 Greninja 2.288 10.3125 4.507211538 10.31246 4.507194056 10.31251 4.507215909
14 Fox 2.402 10.26 4.271440466 10.2599838 4.271433722 10.260054 4.271462948
15 Sheik 2.42 9.6 3.966942149 9.59996 3.96692562 9.600025 3.966952479
16 Zelda 1.43 9.4575 6.613636364 9.457403 6.613568531 9.4575679 6.613683846
17 Sephiroth 1.86 9.374958333 5.040300179 9.3685 5.036827957 9.3771 5.041451613
18 Pikachu 2.039 9.266215385 4.544490135 9.26510304 4.5439446 9.26736 4.545051496
19 Meta Knight 2.09 9.235 4.418660287 9.234975 4.418648325 9.23503 4.418674641
20 Mario 1.76 9.185702118 5.219148931 9.18545 5.219005682 9.186025 5.219332386
21 Dr. Mario 1.397792 9.185702118 6.571580119 9.18545 6.57139975 9.186025 6.571811114
22 Corrin 1.595 8.8275 5.534482759 8.82732015 5.53437 8.8278399 5.534695862
23 Inkling 1.925 8.776780208 4.559366342 8.7765785 4.559261558 8.77718105 4.559574571
24 Young Link 1.749 8.75 5.002858776 8.74998 5.002847341 8.75003 5.002875929
25 Hero 1.84 8.73883563 4.74936719 8.730768 4.744982609 8.75652 4.758978261
26 Pichu 1.892 8.716908 4.607245243 6.068757 3.207588266 10.10022 5.338382664
27 Diddy Kong 2.006 8.5 4.237288136 8.499975 4.237275673 8.500045 4.237310568
28 Wolf 1.54 8.4488 5.486233766 8.448741 5.486195455 8.4488649 5.486275909
29 Roy 2.145 8.16 3.804195804 8.1598464 3.804124196 8.1601608 3.804270769
29 Chrom 2.145 8.16 3.804195804 8.1598464 3.804124196 8.1601608 3.804270769
31 Rosalina & Luma 1.795 8.15 4.540389972 8.149965 4.540370474 8.150045 4.540415042
32 Charizard 2.2 8.12498875 3.693176705 8.1244 3.692909091 8.1251275 3.693239773
33 Donkey Kong 1.873 8.116114286 4.333216383 8.1099325 4.32991591 8.130035 4.340648692
34 Kirby 1.727 8.08014 4.678714534 8.079816 4.678526925 8.0803392 4.678829878
35 Marth 1.964 8.075 4.111507128 8.074848 4.111429735 8.075159125 4.111588149
35 Lucina 1.964 8.075 4.111507128 8.074848 4.111429735 8.075159125 4.111588149
37 Bayonetta 1.76 8.020491803 4.557097615 8.0200744 4.556860455 8.0206409 4.55718233
38 Pit 1.828 7.916666667 4.330780452 7.91646 4.330667396 7.917005 4.330965536
38 Dark Pit 1.828 7.916666667 4.330780452 7.91646 4.330667396 7.917005 4.330965536
40 Cloud 2.167 7.911718182 3.651000545 7.9115155 3.650907014 7.9120349 3.651146701
41 Byleth 1.43 7.895245759 5.52115088 5.714091 3.995867832 9.1873338 6.424708951
42 Mii Swordfighter 1.58 7.817567308 4.94782741 7.04146725 4.456624842 7.8487615 4.96757057
43 Lucario 1.705 7.760869565 4.551829657 7.76052375 4.551626833 7.761096 4.551962463
44 Pac-Man 1.672 7.6 4.545454545 7.599975 4.545439593 7.60006 4.545490431
45 Squirtle 1.76 7.52 4.272727273 7.5199577 4.272703239 7.520047 4.272753977
46 Falco 1.619 7.5075 4.63712168 7.507458 4.637095738 7.5075315 4.637141137
47 Ike 1.507 7.500022353 4.976789883 7.49995 4.976741871 7.5015 4.977770405
48 Mr. Game & Watch 1.679 7.5 4.46694461 7.49998 4.466932698 7.50004 4.466968434
49 Mii Gunner 1.37 7.475 5.45620438 7.47498275 5.456191788 7.47505175 5.456242153
50 Piranha Plant 1.72 7.433826061 4.321991896 7.43366715 4.321899506 7.4341848 4.322200465
51 Lucas 1.65 7.355 4.457575758 7.354965 4.457554545 7.35502 4.457587879
52 Ness 1.609 7.3 4.53697949 7.299955 4.536951523 7.30003 4.536998135
53 Snake 1.595 7.275 4.561128527 7.2749806 4.561116364 7.27502231 4.561142514
54 Dark Samus 1.654 7.224305455 4.367778388 7.223064 4.367027811 7.2288 4.370495768
55 Samus 1.654 7.2192 4.364691657 7.21872 4.364401451 7.2196464 4.364961548
56 Ivysaur 1.595 7.217383846 4.525005546 7.2173172 4.524963762 7.2179328 4.525349718
57 Min Min 1.55 7.188935333 4.638022796 7.18721194 4.636910929 7.1905583 4.639069871
58 Jigglypuff 1.271 7 5.50747443 3.59544365 2.828830566 8.891393 6.995588513
59 Ice Climbers (leader) 1.53 6.94 4.535947712 6.9399875 4.535939542 6.940035 4.535970588
60 King K. Rool 1.485 6.90757925 4.651568519 6.01016555 4.047249529 8.86872985 5.972208653
61 Mega Man 1.602 6.855583333 4.279390345 6.855405 4.279279026 6.856005 4.279653558
62 King Dedede 1.496 6.65 4.445187166 6.6499525 4.445155414 6.6500475 4.445218917
63 Olimar 1.617 6.65 4.112554113 6.64998575 4.1125453 6.650038 4.112577613
64 Kazuya 1.55 6.6154751 4.268048451 6.613950825 4.267065048 6.617606235 4.269423377
65 Banjo & Kazooie 2.18 6.5625 3.010321101 6.560988 3.009627523 6.5658075 3.011838303
66 R.O.B. 1.725 6.5 3.768115942 6.499975 3.768101449 6.500025 3.768130435
67 Incineroar 1.18 6.481481481 5.492780917 6.481 5.492372881 6.481665 5.492936441
68 Link 1.534 6.480916667 4.224847892 6.480475 4.224559974 6.48106 4.22494133
69 Daisy 1.595 6.43859375 4.036735893 6.438445 4.036642633 6.439 4.036990596
70 Peach 1.595 6.4385625 4.036716301 6.438455 4.036648903 6.43902 4.037003135
71 Mewtwo 2.255 6.4375 2.854767184 6.4374794 2.854758049 6.4375412 2.854785455
72 Shulk 1.672 6.351298333 3.798623405 6.3508655 3.798364533 6.3514388 3.798707416
73 Isabelle 1.48 6.349984375 4.290529983 6.34945 4.290168919 6.350085 4.290597973
74 Villager 1.397 6.30555 4.513636364 6.305495385 4.513597269 6.30560958 4.513679012
75 Wario 1.65 6.27 3.8 6.269975 3.799984848 6.27002 3.800012121
76 Bowser 1.971 5.8093515 2.947413242 5.8092613 2.947367478 5.8097082 2.947594216
77 Simon 1.52 5.801375 3.816694079 5.80098 3.816434211 5.801535 3.816799342
77 Richter 1.52 5.801375 3.816694079 5.80098 3.816434211 5.801535 3.816799342
79 Duck Hunt 1.793 5.8 3.234802008 5.799995 3.234799219 5.80004 3.234824317
80 Ganondorf 1.34 5.7936 4.32358209 5.793576 4.323564179 5.7936432 4.323614328
81 Luigi 1.65 5.663109038 3.432187296 5.66296 3.43209697 5.66352 3.432436364
82 Bowser Jr. 1.566 5.616666667 3.58663261 5.616455 3.586497446 5.61703 3.586864623
83 Ryu 1.6 5.546722632 3.466701645 5.54630265 3.466439156 5.54695435 3.466846469
83 Ken 1.76 5.546722632 3.15154695 5.54630265 3.151308324 5.54695435 3.151678608
85 Wii Fit Trainer 1.866 5.433524211 2.91185649 5.4331128 2.911636013 5.4337512 2.911978135
86 Steve 1.45 4.666666667 3.218390805 4.666485 3.218265517 4.667035 3.218644828
87 Robin 1.265 4.166666667 3.293807642 3.70349 2.927660079 4.62949 3.659675889
88 Toon Link 1.906 4.065211538 2.132849705 4.06495 2.132712487 4.065505 2.133003673
89 Palutena 2.077 3.750968125 1.805954803 3.75057625 1.805766129 3.7511225 1.806029129
Old walk
Rank Name Normal
max walk
Approx.
max walk
Approx.
max multiplier
1 Sonic 1.444 8.3333 5.771
2 Young Link 1.26 7.7778 6.1728
3 Fox 1.523 7.4468 4.8896
4 Falco 1.344 7 5.2083
4 Zero Suit Samus 1.47 7 4.7619
6 Pac-Man 1.097 6.8627 6.2559
6 Mii Swordfighter 1.07 6.8627 6.4138
6 Mii Gunner 1 6.8627 6.8627
9 Donkey Kong 1.365 6.7308 4.931
10 Marth 1.575 6.6038 4.1929
10 Lucina 1.575 6.6038 4.1929
12 Sheik 1.47 6.4815 4.4092
13 Diddy Kong 1.313 6.25 4.7601
13 Joker 1.12 6.25 5.5804
15 Pichu 1.302 6.1404 4.7161
15 Mii Brawler 1.26 6.1404 4.8733
17 Link 1.247 6.0345 4.8392
17 Meta Knight 1.239 6.0345 4.8704
17 Squirtle 1.281 6.0345 4.7108
17 Wolf 1.208 6.0345 4.9954
21 Pikachu 1.302 5.9322 4.5562
21 Pit 1.259 5.9322 4.7118
21 Dark Pit 1.259 5.9322 4.7118
24 Mario 1.155 5.8333 5.0505
24 Duck Hunt 1.213 5.8333 4.809
26 Dr. Mario 0.917301 5.7377 6.255
26 Roy 1.208 5.7377 4.7498
26 Chrom 1.208 5.7377 4.7498
26 Palutena 1.271 5.7377 4.5143
26 Hero 0.98 5.7377 5.8548
31 Corrin 1.208 5.5556 4.599
31 Ridley 1.1 5.5556 5.0505
33 R.O.B. 1.178 5.4688 4.6424
33 Banjo & Kazooie 1.06 5.4688 5.1592
35 Yoshi 1.208 5.3846 4.4575
35 Luigi 1.134 5.3846 4.7483
35 Mr. Game & Watch 1.18 5.3846 4.5632
35 Rosalina & Luma 1.138 5.3846 4.7316
35 Inkling 1.134 5.3846 4.7483
40 Dark Samus 1.115 5.303 4.7561
41 Ivysaur 1.103 5.2239 4.7361
41 Lucario 1.103 5.2239 4.7361
43 Villager 1.092 5.1471 4.7134
44 Mewtwo 1.26 5.0725 4.0258
44 Isabelle 1.14 5.0725 4.4495
44 Byleth 0.78 5.0725 6.5032
44 Sora 0.82 5.0725 6.1859
48 Samus 1.115 5 4.4843
48 Bowser 0.901 5 5.5494
50 Ice Climbers (leader) 1.008 4.8611 4.8225
50 Zelda 0.914 4.8611 5.3185
52 Charizard 1.187 4.7945 4.0392
53 Jigglypuff 0.735 4.7297 6.435
53 Mythra 1.42 4.7297 3.3308
55 Ike 0.912 4.6667 5.117
55 Steve 0.85 4.6667 5.4902
55 Pyra 0.92 4.6667 5.0725
58 Kirby 0.977 4.5455 4.6525
58 Sephiroth 0.9 4.5455 5.0505
60 Lucas 0.893 4.4872 5.0248
60 King Dedede 1.029 4.4872 4.3607
60 Cloud 1.155 4.4872 3.885
63 Snake 0.882 4.4304 5.0231
64 Captain Falcon 0.987 4.375 4.4326
64 King K. Rool 0.903 4.375 4.845
66 Ness 0.907 4.321 4.764
66 Peach 0.924 4.321 4.6764
66 Daisy 0.924 4.321 4.6764
66 Greninja 1.502 4.321 2.8768
70 Wario 0.889 4.2683 4.8012
70 Olimar 0.945 4.2683 4.5167
72 Mega Man 1.132 4.1667 3.6808
73 Bayonetta 0.945 4.1176 4.3573
74 Shulk 1.155 4.0698 3.5236
75 Wii Fit Trainer 1.224 4.023 3.2868
76 Ryu 0.75 3.9773 5.303
76 Ken 0.825 3.9773 4.8209
78 Terry 0.85 3.8889 4.5752
79 Piranha Plant 0.76 3.8043 5.0057
80 Toon Link 1.288 3.7634 2.9219
80 Simon 0.76 3.7634 4.9519
80 Richter 0.76 3.7634 4.9519
83 Ganondorf 0.767 3.5354 4.6093
83 Min Min 1.05 3.5354 3.367
85 Kazuya 0.66 3.4653 5.2505
86 Bowser Jr. 0.924 2.9167 3.1566
87 Incineroar 0.62 2.7559 4.445
88 Robin 0.936 2.7132 2.8987
89 Little Mac 1.386 1.8717 1.3504