User:CanvasK/Max speed: Difference between revisions

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(Guess who found a program that gives him all the data in an easy to parse json file? The other program doesn't give any values, don't know what its purpose is. I wish Mario Bros. did modulo arithmetic instead of if (x>=175) x=-175;, then it would be more organic and these small changes would be noticeable. Ranks are effectively the same, 4s are still with 4s just shifted, same 17s, 34s, and so on)
m (Get to have the full 6.272 with crawling. Turns out Bunny Hood has no effect on crawling)
 
(3 intermediate revisions by the same user not shown)
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:'''updated'''
:'''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 [https://docs.google.com/spreadsheets/d/1UdH2L0xi8dO6jyPCcO5e5-8j7SGzezxkeZuF1uP8uOw/edit#gid=1341015828&range=B37 5×] their [https://docs.google.com/spreadsheets/d/1UdH2L0xi8dO6jyPCcO5e5-8j7SGzezxkeZuF1uP8uOw/edit#gid=963542361&range=AQ2 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×.
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 [https://docs.google.com/spreadsheets/d/1UdH2L0xi8dO6jyPCcO5e5-8j7SGzezxkeZuF1uP8uOw/edit#gid=1341015828&range=B37 5×] their [https://docs.google.com/spreadsheets/d/1UdH2L0xi8dO6jyPCcO5e5-8j7SGzezxkeZuF1uP8uOw/edit#gid=963542361&range=AQ2 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).
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.
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. Crawling is not affected by this mechanic.


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


{|class="wikitable sortable" <!--style="display:inline-table;"-->
 
|+Updated run
{|class="wikitable sortable" style="display:inline-table;"
|+Run
!Rank!!Name!!Normal max run!!Avg full max!!Avg full mult!!Min full max!!Min full mult!!Max full max!!Max full mult
!Rank!!Name!!Normal max run!!Avg full max!!Avg full mult!!Min full max!!Min full mult!!Max full max!!Max full mult
|-
|-
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|}
|}


{|class="wikitable sortable" <!--style="display:inline-table;"-->
{|class="wikitable sortable" style="display:inline-table;"
|+Old walk
|+Walk
!Rank!!Name!!Normal<br>max walk!!Approx.<br>max walk!!Approx.<br>max multiplier
!Rank!!Name!!Normal max walk!!Avg full max!!Avg full mult!!Min full max!!Min full mult!!Max full max!!Max full mult
|-
|-
|1||Sonic||1.444||8.3333||5.771
|1||Sonic||1.444||8.3125||5.756578947||8.312481||5.756565789||8.312538||5.756605263
|-
|-
|2||Young Link||1.26||7.7778||6.1728
|2||Young Link||1.26||7.875||6.25||7.874975||6.249980159||7.875045||6.250035714
|-
|-
|3||Fox||1.523||7.4468||4.8896
|3||Fox||1.523||7.56||4.963887065||6.98846508||4.588617912||7.5951324||4.986954957
|-
|-
|4||Falco||1.344||7||5.2083
|4||Falco||1.344||7.0875||5.2734375||7.08748425||5.273425781||7.087542||5.27346875
|-
|-
|4||Zero Suit Samus||1.47||7||4.7619
|5||Zero Suit Samus||1.47||7||4.761904762||6.24999||4.251693878||8.25003||5.612265306
|-
|-
|6||Pac-Man||1.097||6.8627||6.2559
|6||Pac-Man||1.097||6.846153846||6.240796578||6.8458825||6.240549225||6.846525||6.241134913
|-
|-
|6||Mii Swordfighter||1.07||6.8627||6.4138
|7||Mii Swordfighter||1.07||6.8425||6.394859813||6.84244825||6.394811449||6.842546||6.394902804
|-
|-
|6||Mii Gunner||1||6.8627||6.8627
|7||Mii Gunner||1||6.8425||6.8425||6.84244825||6.84244825||6.842546||6.842546
|-
|-
|9||Donkey Kong||1.365||6.7308||4.931
|9||Donkey Kong||1.365||6.807692308||4.987320372||6.80747||4.987157509||6.808035||4.987571429
|-
|-
|10||Marth||1.575||6.6038||4.1929
|10||Marth||1.575||6.65||4.222222222||6.6499715||4.222204127||6.6500285||4.222240317
|-
|-
|10||Lucina||1.575||6.6038||4.1929
|10||Lucina||1.575||6.65||4.222222222||6.6499715||4.222204127||6.6500285||4.222240317
|-
|-
|12||Sheik||1.47||6.4815||4.4092
|12||Sheik||1.47||6.5||4.421768707||6.49998||4.421755102||6.500035||4.421792517
|-
|-
|13||Diddy Kong||1.313||6.25||4.7601
|13||Diddy Kong||1.313||6.25||4.760091394||6.24997||4.760068545||6.25002||4.760106626
|-
|-
|13||Joker||1.12||6.25||5.5804
|14||Joker||1.12||6.232191556||5.564456746||5.6979993||5.087499375||6.7694284||6.0441325
|-
|-
|15||Pichu||1.302||6.1404||4.7161
|15||Mii Brawler||1.26||6.160714286||4.889455782||6.160527||4.889307143||6.16114225||4.889795437
|-
|-
|15||Mii Brawler||1.26||6.1404||4.8733
|16||Pichu||1.302||6.132822222||4.710308926||5.9574462||4.575611521||6.2859184||4.827894316
|-
|-
|17||Link||1.247||6.0345||4.8392
|17||Meta Knight||1.239||6.1||4.923325262||6.099985||4.923313156||6.100025||4.92334544
|-
|-
|17||Meta Knight||1.239||6.0345||4.8704
|18||Wolf||1.208||6.037666667||4.998068433||6.0374464||4.997886093||6.0380895||4.99841846
|-
|-
|17||Squirtle||1.281||6.0345||4.7108
|19||Squirtle||1.281||6.016||4.696330991||6.0159577||4.69629797||6.0160282||4.696353005
|-
|-
|17||Wolf||1.208||6.0345||4.9954
|20||Link||1.247||6.000328125||4.811810846||5.999955||4.811511628||6.000525||4.811968725
|-
|-
|21||Pikachu||1.302||5.9322||4.5562
|21||Pikachu||1.302||5.952||4.571428571||5.9519904||4.571421198||5.9520384||4.571458065
|-
|-
|21||Pit||1.259||5.9322||4.7118
|22||Pit||1.259||5.899993281||4.686253599||5.89977||4.686076251||5.90006||4.686306593
|-
|-
|21||Dark Pit||1.259||5.9322||4.7118
|23||Dark Pit||1.259||5.899578125||4.685923848||5.8867095||4.675702542||5.90006||4.686306593
|-
|-
|24||Mario||1.155||5.8333||5.0505
|24||Duck Hunt||1.213||5.8||4.781533388||5.799995||4.781529266||5.80004||4.781566364
|-
|-
|24||Duck Hunt||1.213||5.8333||4.809
|25||Mario||1.155||5.7812519||5.005412901||3.251512||2.815161905||8.3475125||7.22728355
|-
|-
|26||Dr. Mario||0.917301||5.7377||6.255
|25||Dr. Mario||0.917301||5.7812519||6.302458953||3.251512||3.544651101||8.3475125||9.100080017
|-
|-
|26||Roy||1.208||5.7377||4.7498
|27||Chrom||1.208||5.76071355||4.768802608||5.7599568||4.768176159||5.77306992||4.779031391
|-
|-
|26||Chrom||1.208||5.7377||4.7498
|28||Roy||1.208||5.760315||4.768472682||5.7599568||4.768176159||5.760504||4.768629139
|-
|-
|26||Palutena||1.271||5.7377||4.5143
|29||Hero||0.98||5.757555||5.875056122||5.7139728||5.83058449||5.758968||5.876497959
|-
|-
|26||Hero||0.98||5.7377||5.8548
|30||Palutena||1.271||5.708039375||4.490982986||4.675760825||3.67880474||6.489925||5.10615657
|-
|-
|31||Corrin||1.208||5.5556||4.599
|31||Corrin||1.208||5.56875||4.609892384||5.5687104||4.609859603||5.5687599||4.609900579
|-
|-
|31||Ridley||1.1||5.5556||5.0505
|32||Ridley||1.1||5.55655||5.051409091||5.5565215||5.051383182||5.55657375||5.051430682
|-
|-
|33||R.O.B.||1.178||5.4688||4.6424
|33||Banjo & Kazooie||1.06||5.531932645||5.218804382||3.11176005||2.935622689||7.98739725||7.535280425
|-
|-
|33||Banjo & Kazooie||1.06||5.4688||5.1592
|34||Mr. Game & Watch||1.18||5.5||4.661016949||5.499955||4.660978814||5.50005||4.661059322
|-
|-
|35||Yoshi||1.208||5.3846||4.4575
|35||R.O.B.||1.178||5.5||4.66893039||5.49997||4.668904924||5.500025||4.668951613
|-
|-
|35||Luigi||1.134||5.3846||4.7483
|36||Yoshi||1.208||5.405||4.474337748||5.40498026||4.474321407||5.40502961||4.47436226
|-
|-
|35||Mr. Game & Watch||1.18||5.3846||4.5632
|37||Rosalina & Luma||1.138||5.4||4.74516696||5.39995||4.745123023||5.40005||4.745210896
|-
|-
|35||Rosalina & Luma||1.138||5.3846||4.7316
|38||Inkling||1.134||5.399775||4.761706349||4.65558455||4.105453748||6.3566656||5.60552522
|-
|-
|35||Inkling||1.134||5.3846||4.7483
|39||Luigi||1.134||5.384615385||4.748338082||5.384435||4.748179012||5.38501||4.748686067
|-
|-
|40||Dark Samus||1.115||5.303||4.7561
|40||Dark Samus||1.115||5.316||4.767713004||5.315952||4.767669955||5.316048||4.767756054
|-
|-
|41||Ivysaur||1.103||5.2239||4.7361
|41||Ivysaur||1.103||5.252110625||4.761659678||5.2502472||4.759970263||5.2525785||4.762083862
|-
|-
|41||Lucario||1.103||5.2239||4.7361
|42||Lucario||1.103||5.25||4.759746147||5.249979||4.759727108||5.250042||4.759784225
|-
|-
|43||Villager||1.092||5.1471||4.7134
|43||Villager||1.092||5.1636||4.728571429||5.163575175||4.728548695||5.16361986||4.728589615
|-
|-
|44||Mewtwo||1.26||5.0725||4.0258
|44||Mewtwo||1.26||5.15||4.087301587||5.1499485||4.087260714||5.1500515||4.08734246
|-
|-
|44||Isabelle||1.14||5.0725||4.4495
|45||Isabelle||1.14||5.092875||4.467434211||5.092475||4.467083333||5.0930575||4.467594298
|-
|-
|44||Byleth||0.78||5.0725||6.5032
|46||Byleth||0.78||5.069632709||6.499529114||4.926753408||6.316350523||5.232470103||6.708295004
|-
|-
|44||Sora||0.82||5.0725||6.1859
|47||Sora||0.9||5.052635294||5.614039216||5.051304||5.61256||5.053968||5.61552
|-
|-
|48||Samus||1.115||5||4.4843
|48||Samus||1.115||5.04||4.520179372||5.0399904||4.520170762||5.0400288||4.520205202
|-
|-
|48||Bowser||0.901||5||5.5494
|49||Bowser||0.901||4.992582813||5.541157395||4.9925044||5.541070366||4.9930046||5.541625527
|-
|-
|50||Ice Climbers (leader)||1.008||4.8611||4.8225
|50||Zelda||0.914||4.85||5.306345733||4.8499903||5.30633512||4.8500388||5.306388184
|-
|-
|50||Zelda||0.914||4.8611||5.3185
|51||Ice Climbers (leader)||1.008||4.8||4.761904762||4.79999||4.761894841||4.8000325||4.761937004
|-
|-
|52||Charizard||1.187||4.7945||4.0392
|52||Jigglypuff||0.735||4.750566667||6.463356009||4.75036||6.46307483||4.751005||6.463952381
|-
|-
|53||Jigglypuff||0.735||4.7297||6.435
|53||Charizard||1.187||4.75||4.00168492||4.749975||4.001663858||4.75003||4.001710194
|-
|-
|53||Mythra||1.42||4.7297||3.3308
|54||Steve||0.85||4.666666667||5.490196078||4.666485||5.489982353||4.667035||5.490629412
|-
|-
|55||Ike||0.912||4.6667||5.117
|55||Pyra||0.82||4.6565||5.678658537||4.65542692||5.677349902||4.65829032||5.680841854
|-
|-
|55||Steve||0.85||4.6667||5.4902
|55||Mythra||0.92||4.6565||5.061413043||4.65542692||5.060246652||4.65829032||5.063359043
|-
|-
|55||Pyra||0.92||4.6667||5.0725
|57||Ike||0.912||4.640625||5.088404605||4.61653||5.061984649||4.649015||5.097604167
|-
|-
|58||Kirby||0.977||4.5455||4.6525
|58||Sephiroth||0.66||4.562607143||6.913041126||4.56155||6.911439394||4.5645||6.915909091
|-
|-
|58||Sephiroth||0.9||4.5455||5.0505
|59||Kirby||0.977||4.56||4.667349028||4.559964||4.66731218||4.560096||4.667447288
|-
|-
|60||Lucas||0.893||4.4872||5.0248
|60||King Dedede||1.029||4.5125||4.385325559||4.512481||4.385307094||4.5125285||4.385353256
|-
|-
|60||King Dedede||1.029||4.4872||4.3607
|61||Cloud||1.155||4.49392475||3.890843939||4.4937655||3.890706061||4.4942996||3.891168485
|-
|-
|60||Cloud||1.155||4.4872||3.885
|62||Snake||0.882||4.410105||5.000119048||4.4100759||5.000086054||4.4101341||5.000152041
|-
|-
|63||Snake||0.882||4.4304||5.0231
|63||King K. Rool||0.903||4.388194444||4.859573028||4.38809605||4.859464064||4.3886078||4.860030786
|-
|-
|64||Captain Falcon||0.987||4.375||4.4326
|64||Captain Falcon||0.987||4.3775||4.435157042||4.3774897||4.435146606||4.377522145||4.435179478
|-
|-
|64||King K. Rool||0.903||4.375||4.845
|65||Greninja||1.502||4.333333333||2.885042166||4.332985||2.884810253||4.33352||2.885166445
|-
|-
|66||Ness||0.907||4.321||4.764
|66||Ness||0.907||4.3||4.740904079||4.299975||4.740876516||4.300015||4.740920617
|-
|-
|66||Peach||0.924||4.321||4.6764
|66||Peach||0.924||4.3||4.653679654||4.299965||4.653641775||4.300045||4.653728355
|-
|-
|66||Daisy||0.924||4.321||4.6764
|66||Daisy||0.924||4.3||4.653679654||4.299965||4.653641775||4.300045||4.653728355
|-
|-
|66||Greninja||1.502||4.321||2.8768
|69||Olimar||0.945||4.275||4.523809524||4.274975775||4.523783889||4.275019||4.52382963
|-
|-
|70||Wario||0.889||4.2683||4.8012
|70||Wario||0.889||4.25||4.780652418||4.249985||4.780635546||4.250015||4.780669291
|-
|-
|70||Olimar||0.945||4.2683||4.5167
|71||Lucas||0.893||4.2||4.70324748||4.19998||4.703225084||4.20002||4.703269877
|-
|-
|72||Mega Man||1.132||4.1667||3.6808
|72||Mega Man||1.132||4.143842857||3.660638566||4.143485||3.660322438||4.144015||3.660790636
|-
|-
|73||Bayonetta||0.945||4.1176||4.3573
|73||Bayonetta||0.945||4.12||4.35978836||4.11997425||4.359761111||4.12003605||4.359826508
|-
|-
|74||Shulk||1.155||4.0698||3.5236
|74||Shulk||1.155||4.045879775||3.502926212||3.6122898||3.127523636||4.0572392||3.512761212
|-
|-
|75||Wii Fit Trainer||1.224||4.023||3.2868
|75||Wii Fit Trainer||1.224||4.007343158||3.273973168||3.3993504||2.777247059||4.9363248||4.032945098
|-
|-
|76||Ryu||0.75||3.9773||5.303
|76||Ryu||0.75||3.979796333||5.306395111||3.9795889||5.306118533||3.9802798||5.307039733
|-
|-
|76||Ken||0.825||3.9773||4.8209
|76||Ken||0.825||3.979796333||4.823995556||3.9795889||4.823744121||3.9802798||4.824581576
|-
|-
|78||Terry||0.85||3.8889||4.5752
|78||Terry||0.85||3.91||4.6||3.5762424||4.207344||4.5785913||5.386578
|-
|-
|79||Piranha Plant||0.76||3.8043||5.0057
|79||Piranha Plant||0.76||3.77||4.960526316||3.76969695||4.960127566||3.7701624||4.96074
|-
|-
|80||Toon Link||1.288||3.7634||2.9219
|80||Toon Link||1.288||3.755796875||2.915991363||3.755475||2.91574146||3.75601||2.916156832
|-
|-
|80||Simon||0.76||3.7634||4.9519
|81||Simon||0.76||3.75||4.934210526||3.74997||4.934171053||3.75003||4.93425
|-
|-
|80||Richter||0.76||3.7634||4.9519
|81||Richter||0.76||3.75||4.934210526||3.74997||4.934171053||3.75003||4.93425
|-
|-
|83||Ganondorf||0.767||3.5354||4.6093
|83||Ganondorf||0.767||3.504||4.568448501||3.503976||4.56841721||3.5040432||4.568504824
|-
|-
|83||Min Min||1.05||3.5354||3.367
|84||Min Min||1.05||3.497||3.33047619||3.4962468||3.329758857||3.50010964||3.333437752
|-
|-
|85||Kazuya||0.66||3.4653||5.2505
|85||Kazuya||1.42||3.4775738||2.448995634||2.569415885||1.809447806||5.37762168||3.787057521
|-
|-
|86||Bowser Jr.||0.924||2.9167||3.1566
|86||Bowser Jr.||0.924||2.912295||3.151834416||2.911975||3.151488095||2.91254||3.152099567
|-
|-
|87||Incineroar||0.62||2.7559||4.445
|87||Incineroar||0.62||2.75||4.435483871||2.749975||4.435443548||2.750025||4.435524194
|-
|-
|88||Robin||0.936||2.7132||2.8987
|88||Robin||0.936||2.7||2.884615385||2.699965||2.884577991||2.700035||2.884652778
|-
|-
|89||Little Mac||1.386||1.8717||1.3504
|89||Little Mac||1.386||1.867131||1.347136364||1.194761765||0.8620214751||2.39758335||1.729858117
|}
|}

Latest revision as of 22:29, April 25, 2022

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 5× 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. Crawling is not affected by this mechanic.

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.


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
Walk
Rank Name Normal max walk Avg full max Avg full mult Min full max Min full mult Max full max Max full mult
1 Sonic 1.444 8.3125 5.756578947 8.312481 5.756565789 8.312538 5.756605263
2 Young Link 1.26 7.875 6.25 7.874975 6.249980159 7.875045 6.250035714
3 Fox 1.523 7.56 4.963887065 6.98846508 4.588617912 7.5951324 4.986954957
4 Falco 1.344 7.0875 5.2734375 7.08748425 5.273425781 7.087542 5.27346875
5 Zero Suit Samus 1.47 7 4.761904762 6.24999 4.251693878 8.25003 5.612265306
6 Pac-Man 1.097 6.846153846 6.240796578 6.8458825 6.240549225 6.846525 6.241134913
7 Mii Swordfighter 1.07 6.8425 6.394859813 6.84244825 6.394811449 6.842546 6.394902804
7 Mii Gunner 1 6.8425 6.8425 6.84244825 6.84244825 6.842546 6.842546
9 Donkey Kong 1.365 6.807692308 4.987320372 6.80747 4.987157509 6.808035 4.987571429
10 Marth 1.575 6.65 4.222222222 6.6499715 4.222204127 6.6500285 4.222240317
10 Lucina 1.575 6.65 4.222222222 6.6499715 4.222204127 6.6500285 4.222240317
12 Sheik 1.47 6.5 4.421768707 6.49998 4.421755102 6.500035 4.421792517
13 Diddy Kong 1.313 6.25 4.760091394 6.24997 4.760068545 6.25002 4.760106626
14 Joker 1.12 6.232191556 5.564456746 5.6979993 5.087499375 6.7694284 6.0441325
15 Mii Brawler 1.26 6.160714286 4.889455782 6.160527 4.889307143 6.16114225 4.889795437
16 Pichu 1.302 6.132822222 4.710308926 5.9574462 4.575611521 6.2859184 4.827894316
17 Meta Knight 1.239 6.1 4.923325262 6.099985 4.923313156 6.100025 4.92334544
18 Wolf 1.208 6.037666667 4.998068433 6.0374464 4.997886093 6.0380895 4.99841846
19 Squirtle 1.281 6.016 4.696330991 6.0159577 4.69629797 6.0160282 4.696353005
20 Link 1.247 6.000328125 4.811810846 5.999955 4.811511628 6.000525 4.811968725
21 Pikachu 1.302 5.952 4.571428571 5.9519904 4.571421198 5.9520384 4.571458065
22 Pit 1.259 5.899993281 4.686253599 5.89977 4.686076251 5.90006 4.686306593
23 Dark Pit 1.259 5.899578125 4.685923848 5.8867095 4.675702542 5.90006 4.686306593
24 Duck Hunt 1.213 5.8 4.781533388 5.799995 4.781529266 5.80004 4.781566364
25 Mario 1.155 5.7812519 5.005412901 3.251512 2.815161905 8.3475125 7.22728355
25 Dr. Mario 0.917301 5.7812519 6.302458953 3.251512 3.544651101 8.3475125 9.100080017
27 Chrom 1.208 5.76071355 4.768802608 5.7599568 4.768176159 5.77306992 4.779031391
28 Roy 1.208 5.760315 4.768472682 5.7599568 4.768176159 5.760504 4.768629139
29 Hero 0.98 5.757555 5.875056122 5.7139728 5.83058449 5.758968 5.876497959
30 Palutena 1.271 5.708039375 4.490982986 4.675760825 3.67880474 6.489925 5.10615657
31 Corrin 1.208 5.56875 4.609892384 5.5687104 4.609859603 5.5687599 4.609900579
32 Ridley 1.1 5.55655 5.051409091 5.5565215 5.051383182 5.55657375 5.051430682
33 Banjo & Kazooie 1.06 5.531932645 5.218804382 3.11176005 2.935622689 7.98739725 7.535280425
34 Mr. Game & Watch 1.18 5.5 4.661016949 5.499955 4.660978814 5.50005 4.661059322
35 R.O.B. 1.178 5.5 4.66893039 5.49997 4.668904924 5.500025 4.668951613
36 Yoshi 1.208 5.405 4.474337748 5.40498026 4.474321407 5.40502961 4.47436226
37 Rosalina & Luma 1.138 5.4 4.74516696 5.39995 4.745123023 5.40005 4.745210896
38 Inkling 1.134 5.399775 4.761706349 4.65558455 4.105453748 6.3566656 5.60552522
39 Luigi 1.134 5.384615385 4.748338082 5.384435 4.748179012 5.38501 4.748686067
40 Dark Samus 1.115 5.316 4.767713004 5.315952 4.767669955 5.316048 4.767756054
41 Ivysaur 1.103 5.252110625 4.761659678 5.2502472 4.759970263 5.2525785 4.762083862
42 Lucario 1.103 5.25 4.759746147 5.249979 4.759727108 5.250042 4.759784225
43 Villager 1.092 5.1636 4.728571429 5.163575175 4.728548695 5.16361986 4.728589615
44 Mewtwo 1.26 5.15 4.087301587 5.1499485 4.087260714 5.1500515 4.08734246
45 Isabelle 1.14 5.092875 4.467434211 5.092475 4.467083333 5.0930575 4.467594298
46 Byleth 0.78 5.069632709 6.499529114 4.926753408 6.316350523 5.232470103 6.708295004
47 Sora 0.9 5.052635294 5.614039216 5.051304 5.61256 5.053968 5.61552
48 Samus 1.115 5.04 4.520179372 5.0399904 4.520170762 5.0400288 4.520205202
49 Bowser 0.901 4.992582813 5.541157395 4.9925044 5.541070366 4.9930046 5.541625527
50 Zelda 0.914 4.85 5.306345733 4.8499903 5.30633512 4.8500388 5.306388184
51 Ice Climbers (leader) 1.008 4.8 4.761904762 4.79999 4.761894841 4.8000325 4.761937004
52 Jigglypuff 0.735 4.750566667 6.463356009 4.75036 6.46307483 4.751005 6.463952381
53 Charizard 1.187 4.75 4.00168492 4.749975 4.001663858 4.75003 4.001710194
54 Steve 0.85 4.666666667 5.490196078 4.666485 5.489982353 4.667035 5.490629412
55 Pyra 0.82 4.6565 5.678658537 4.65542692 5.677349902 4.65829032 5.680841854
55 Mythra 0.92 4.6565 5.061413043 4.65542692 5.060246652 4.65829032 5.063359043
57 Ike 0.912 4.640625 5.088404605 4.61653 5.061984649 4.649015 5.097604167
58 Sephiroth 0.66 4.562607143 6.913041126 4.56155 6.911439394 4.5645 6.915909091
59 Kirby 0.977 4.56 4.667349028 4.559964 4.66731218 4.560096 4.667447288
60 King Dedede 1.029 4.5125 4.385325559 4.512481 4.385307094 4.5125285 4.385353256
61 Cloud 1.155 4.49392475 3.890843939 4.4937655 3.890706061 4.4942996 3.891168485
62 Snake 0.882 4.410105 5.000119048 4.4100759 5.000086054 4.4101341 5.000152041
63 King K. Rool 0.903 4.388194444 4.859573028 4.38809605 4.859464064 4.3886078 4.860030786
64 Captain Falcon 0.987 4.3775 4.435157042 4.3774897 4.435146606 4.377522145 4.435179478
65 Greninja 1.502 4.333333333 2.885042166 4.332985 2.884810253 4.33352 2.885166445
66 Ness 0.907 4.3 4.740904079 4.299975 4.740876516 4.300015 4.740920617
66 Peach 0.924 4.3 4.653679654 4.299965 4.653641775 4.300045 4.653728355
66 Daisy 0.924 4.3 4.653679654 4.299965 4.653641775 4.300045 4.653728355
69 Olimar 0.945 4.275 4.523809524 4.274975775 4.523783889 4.275019 4.52382963
70 Wario 0.889 4.25 4.780652418 4.249985 4.780635546 4.250015 4.780669291
71 Lucas 0.893 4.2 4.70324748 4.19998 4.703225084 4.20002 4.703269877
72 Mega Man 1.132 4.143842857 3.660638566 4.143485 3.660322438 4.144015 3.660790636
73 Bayonetta 0.945 4.12 4.35978836 4.11997425 4.359761111 4.12003605 4.359826508
74 Shulk 1.155 4.045879775 3.502926212 3.6122898 3.127523636 4.0572392 3.512761212
75 Wii Fit Trainer 1.224 4.007343158 3.273973168 3.3993504 2.777247059 4.9363248 4.032945098
76 Ryu 0.75 3.979796333 5.306395111 3.9795889 5.306118533 3.9802798 5.307039733
76 Ken 0.825 3.979796333 4.823995556 3.9795889 4.823744121 3.9802798 4.824581576
78 Terry 0.85 3.91 4.6 3.5762424 4.207344 4.5785913 5.386578
79 Piranha Plant 0.76 3.77 4.960526316 3.76969695 4.960127566 3.7701624 4.96074
80 Toon Link 1.288 3.755796875 2.915991363 3.755475 2.91574146 3.75601 2.916156832
81 Simon 0.76 3.75 4.934210526 3.74997 4.934171053 3.75003 4.93425
81 Richter 0.76 3.75 4.934210526 3.74997 4.934171053 3.75003 4.93425
83 Ganondorf 0.767 3.504 4.568448501 3.503976 4.56841721 3.5040432 4.568504824
84 Min Min 1.05 3.497 3.33047619 3.4962468 3.329758857 3.50010964 3.333437752
85 Kazuya 1.42 3.4775738 2.448995634 2.569415885 1.809447806 5.37762168 3.787057521
86 Bowser Jr. 0.924 2.912295 3.151834416 2.911975 3.151488095 2.91254 3.152099567
87 Incineroar 0.62 2.75 4.435483871 2.749975 4.435443548 2.750025 4.435524194
88 Robin 0.936 2.7 2.884615385 2.699965 2.884577991 2.700035 2.884652778
89 Little Mac 1.386 1.867131 1.347136364 1.194761765 0.8620214751 2.39758335 1.729858117
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