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digiman619
2016-02-12, 11:03 PM
Finding the greatest top speed possible in Pathfinder is very math intensive, and the top speed possible I've been able to calculate required the use of Dreamscarred Press' book Ultimate Psionics, so some may argue it's not 'official', so let's calculate the top speed using only Paizo's Pathfinder books first:

Elf Monk [Monk of the Four Winds] 18/Barbarian 2 (currently chaotic)
30 ft (base land speed) + 60 ft (monk levels [enhancement]) +15 (racial favored bonus [untyped]) +20ft (ki point spent [untyped]) + 15 ft (bar. fast move + swift foot rage power [untyped]) +50ft (Fleet x 10) = 190 ft.
Running w/slow time + run feat (via drum of advance and retreat) = x7 speed = 1,330 ft
Aspect of Tiger Charge + slow time + run feat=13,300 ft charge; over 2.5 miles in one charge (which lasts 1 round/6 seconds), so top speed is 1,511 mph (2,432 kph) or almost Mach 2!

If you also use the mythic tiers from Mythic Adventures, then it goes like this:
Elf Monk [Monk of the Four Winds] 18/Barbarian 2/tier 10 Champion(currently chaotic)
30 ft (Base land speed) +60 ft (monk levels [enhancement]), +15 (racial favored bonus [untyped]), + 20 ft (ki point spent [untyped]), +15 ft (barbarian fast move + swift foot rage power) +60 feet (fleet x 12) +150 ft (impossible speed w/ Mythic Paragon) = 350 feet
Running with slow time (w/run and Mythic Run feats) = x 9 speed = 3,150 feet
Apect of Tiger Charge + slow time + mythic run = 31,500 feet or slightly over 5.9 miles in one charge which lasts 1 round/6 seconds, so top speed is 3,579 mph (5,760 kph), or roughly Mach 4.7!

However, if you use Ultimate Psionics, your max speed increases even further:

Xeph Monk [Monk of the Four Winds] 18/Barbarian 2 (currently chaotic)
30 ft (base land speed) + 60 ft (monk levels [enhancement]) +15 (racial favored bonus [untyped]) +20ft (ki point spent [untyped]) + 15 ft (bar. fast move + swift foot rage power [untyped]) + 45 ft (Fleet x9 [untyped]) + 30 ft (burst [competence]) + 30 ft (speed of thought w/focus expended [insight]) +25ft (battlesense augmented 4 times [curcumstance]) = 270 ft.
Running w/slow time + run feat (via drum of advance and retreat) = x7 speed = 1,890 ft/rnd
Aspect of Tiger Charge + slow time + run feat=18,900 ft charge; over 3.5 miles in one charge (which lasts 1 round/6 seconds), so top speed is 2,148 mph (3,456 kph) or roughly Mach 2.8!

If you also use mythic tiers with this, it changes as follows:

Xeph Monk [Monk of the Four Winds] 18/Barbarian 2/tier 10 Champion(currently chaotic)
30 ft (Base land speed) +60 ft (monk levels [enhancement]), +15 (racial favored bonus [untyped]), + 20 ft (ki point spent [untyped]), +15 ft (barbarian fast move + swift foot rage power) +55 feet (fleet x 11) +150 ft (impossible speed w/mythic paragon) +30 ft (burst [competence]) + 30 ft (speed of thought w/focus expended [insight]) +25ft (battlesense augmented 4 times [curcumstance]) = 430 feet
Running with slow time (w/run and Mythic Run feats) = x 9 speed = 3,870 feet
Apect of Tiger Charge + slow time + mythic run = 38,700 feet or almost 7 1/3 miles in one charge which lasts 1 round/6 seconds, so top speed is 4,398 mph (7,077 kph), or roughly Mach 5 3/4!


If he's wearing boots of temporal acceleration, you can get two rounds of time stopped relative to you; so get 3 rounds to determine top speed. You lose the the speed of thought bonus, but if you expend it after the two apparent turns, you only lose 20 ft; so we have 250 ft/rnd. There's also the fact we're using 7 ki per 'round', but our monk's ki pool is limited; he only has 9 + his Wisdom modifier Ki, which is +9 w/all abilty bonuses to Wis and Headband of Inspired Wisdom. If he also has one of the Vows from Ultimate Magic (other than Chains or Poverty) you can slow time for all 3 rounds.
250 ft x 7 (slow time + run) x 2 (2 time-stopped rounds)= 3,500 more feet before the Aspect of Tiger charge; = 22,400 ft; slightly over 4.25 miles in one run (because time stopped relative to you, only 6 seconds of 'real time' has passed), so top speed is an apparent 2,545 mph (4,096 kph) or roughly Mach 3.35!
Again, if you're using Mythic Adventures, then (420 x 9 x2) -20 = 7,270 feet before the aspect of tiger charge, = 46,240 ft; or slightly over 8.75 miles in one apparent round/6 apparent seconds, so your apparent top speed is 5,257 mph (8,460 kph) or Mach 6.9!


However, if we let apparent speed be a thing, then teleport spells make running laughably slow. A 9th level wizard casting a teleport spell to go the maximum distance is going 900 miles as a standard action (which is roughly 3 seconds) which has an apparent speed of literally OVER A MILLION MILES PER HOUR! Let's say a 14th level wizard using greater teleport to teleport to their position's antipode. Assuming that the game world is the same size as Earth, and we want so have the smallest apparent speed possible, we need to find the shortest distance between those points; namedly through the planet, which is 12,820 km thick, so that's going almost 8,000 miles in 3 seconds, with an apparent speed of over 9.5 million mph which is about 1.5 C (so that they, like the Milenium Falcon, can reach .5 past lightspeed!). Since circumfrence is 2(pi)r, half the circumfrence of Earth is 20,137.4 km, so that's going a little over 12,500 miles in 3 seconds, which is over 24 million miles per hour or slightly over 3.75 C!!!


OK, here's another wrinkle on the max speed thing; Pathfinder Unchained redid the monk to make it flow better, but made it as-written incompatible with most archetypes. If you make the slight adjustment of making the slow time replacing by the 12th level ki power rather than abundant step, then you can use it for this endevour. Since one of the ki powers (sudden speed) increases your speed for a while, so we gotta re-calculate it.

Only Paizo stuff w/o Mythic Adventures
190 + 30 = 220 ft; x7 speed = 1,540 ft; X10 aspect of tiger charge= 15,400 or 2.9 miles in a charge/6 second, so to top speed is 1,750 mph/Mach2.3

Only Paizo stuff w/Mythic Adventures
350 +30 =380 ft; x 9 speed=3,420 ft; x10 aspect of tiger charge=34,200 or 6.4 miles in a charge/6 seconds, so top speed is 3,886 mph/Mach 5.1

Dreamscarred Press stuff w/o Mythic Adventures
270 + 30=300 ft; x7 speed=2,100ft; x10 aspect of tiger charge=21,000 or 3.9 miles in a charge/6 seconds, so top speed is 2,386 mph/Mach 3.1

Dreamscarred Press stuff w/o Mythic Adventures, but w/boots or temporal acceleration
[300 x7 (slow time + run) x 2 (2 time-stopped rounds)] -20 =4,180 feet before last round, so feet in 6 apparent seconds, so 4.7 miles in the charge, so top speed is an apparent 2,832 mph/Mach 3.7

Dreamscarred Press stuff w/ Mythic Adventures
430 + 30=460 ft; x9 speed=4,140ft; x10 aspect of tiger charge=41,400 or 7.8 miles in a charge/6 second, so top speed is 4,704 mph/Mach 6.2

Dreamscarred Press stuff w/ Mythic Adventures and boots or temporal acceleration.
(430 x 9 speed x 2 rounds)-20 feet= 7,720 feet before the charge, so 49,120 feet or 9.3 miles in 6 apparent seconds, so top speed is an apparent
5,582 mph/Mach 7.3

Khosan
2016-02-13, 02:54 AM
You can get a little faster with a one level dip into Aegis. Use the Astral Skin suit and stuff your three customization points into Speed. 25' increased movement speed, but you have to drop a Monk level so it's actually only 15'. Still an increase is an increase.

digiman619
2016-02-14, 04:51 AM
Okay, I missed the bonus an aegis could add, so here's the changes:
Xeph Monk [Monk of the Four Winds] 18/Aegis 1/Barbarian 1 (currently chaotic)

You lose 5 feet from the rage power, but gain 25 from the Aegis level, via astral skin w/3 additional speed customizations, so that's = 290 ft.
Running w/slow time + run feat (via drum of advance and retreat) = x7 speed = 2,030 ft/rnd
Aspect of Tiger Charge + slow time + run feat=20,300 ft charge; over 3.8 miles in one charge (which lasts 1 round/6 seconds), so top speed is 2,307 mph (3,712 kph) or slightly greater than Mach 3!

W/Mythic Tiers:
Xeph Monk [Monk of the Four Winds] 18/Aegis 1/Barbarian 1/tier 10 Champion(currently chaotic)
450 feet speed, x9 Mythic run +slow time, + Aspect of Tiger Charge (x10) = 40,500 ft charge; that's 7.6 miles in a charge, so top speed is 4,602 mph (7,406 kph) or slightly greater than Mach 6!

If you let Unchained Monk use Monk of the Four Winds, then we get 30 more feet to work with:
W/O Mythic Tier:
290 + 30 = 320 feet, 320 x7 = 2,240 ft/round, Aspect of Tiger Charge (x10) = 22,400 ft chage, roughly 4.25 miles in the charge, so top speed is 2,545 mph (4,096 kph) or Mach 3 1/3.

W/ Mythic Tiers:
450 + 30 = 480 feet, x9 Mythic run +slow time, + Aspect of Tiger Charge (x10) = 43,200 ft charge, roughly 8.2 miles in the charge, so top speed is 4,909 mph (7,900 kmp) or almost Mach 6.5!