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A bit late to this, but the angular size formula was changed to a more correct variant that basically impacts the tiering for FF due to one of the calcs using the old method. I'll be using the new method on that one calc. This thread aims to simply correct it to adjust the tierings accordingly as well as to give me some room to suggest a tiny little change to the adventurer's profile.
Firstly, old calc was accepted by two different calc members - all conveniently placed on this thread. All I should do is just recalc the distance the electrical projectiles traveled with the new formula listed on calculation guide, which is Distance from point of view to object = object size * panel height in pixels/[object height in pixels*2*tan(70deg/2)].
Text is hard to read, but the values are as follows:
Person using spell: 432.1 pixels
Person being hit by spell: 132 pixels
Screen height: 1017 pixels
Both are assumed to be the height of an average human, or 1.77 meters.
Plugging these variables into the formula:
Distance from screen to player/wizard - 1.77 * 1017/[432.1*2*tan(70deg/2)] = 2.97476851 meters
Distance from screen to random guy getting attacked - 1.77 * 1017 /[132 * 2*tan(70deg/2)] = 9.73785964 meters
Finding the distance between the two by subtracting the distance from the screen to the first guy by the distance to the guy farther away:
9.73785964 - 2.97476851 = 6.76309113 meters.
Calculation determined the amount of time it took for the electrical projectiles to hit the guy to be 0.92 seconds.
6.76309113 / 0.92 = 7.35118601 m/s
Knight's ingame swinging speed was calced at 36.875 m/s ingame, comparing these two velocities:
36.875 / 7.35118601 = 5.01619738x faster
The electrical projectiles are assumed to be about as fast as electricity in air from a tesla coil gun, which was calced at mach 1.634 in this blog here. This is reasonable, considering that the electrical attack is weaker and slower than the secondary ability of the greater storms tome that literally summons a lightning bolt with higher damage.
Given that the actual velocity of the electricity is 560.46200 m/s, then:
560.46200 * 5.01619738 = 2811.38802 M/S, or Mach 8.19646653.
Still Hypersonic, but much closer to the baseline for hypersonic+.
Plugging this into kinetic energy formulas with the mass of each ancient knight sword (already calced in this blog here)
Iro - (1/2) * 36720.3231843 * 2811.38802^2 = 1.45116929e11 Joules, or 34.6837784 Tons of TNT
City Block level
Cobalt - (1/2) * 41339.5252113 * 2811.38802^2 = 1.6337179e11 Joules or 39.0467949 Tons of TNT
City Block level
Gold - (1/2) * 90144.4274 * 2811.38802^2 = 3.56246387e11 Joules or 85.14493 Tons of TNT
City Block level+
Likewise, only a few profiles like the Adventurer and Mr. 58 would need to be edited due to scaling to endgame players pretty easily (City Block level+).
I would also suggest adding an "at least" rating to the midgame key considering that the player scales decently above ancient iron knight and shouldn't only be ~5 tons of TNT higher only scaling to the cobalt knight.
TL;dr - AP and durability gets buffed quite a bit and speed is slightly increased. Adventurer should get an at least rating for midgame key.
I'll post the calc portion of this onto a blog once I get a request for it. For now, this is open to discussion.
Firstly, old calc was accepted by two different calc members - all conveniently placed on this thread. All I should do is just recalc the distance the electrical projectiles traveled with the new formula listed on calculation guide, which is Distance from point of view to object = object size * panel height in pixels/[object height in pixels*2*tan(70deg/2)].
Text is hard to read, but the values are as follows:
Person using spell: 432.1 pixels
Person being hit by spell: 132 pixels
Screen height: 1017 pixels
Both are assumed to be the height of an average human, or 1.77 meters.
Plugging these variables into the formula:
Distance from screen to player/wizard - 1.77 * 1017/[432.1*2*tan(70deg/2)] = 2.97476851 meters
Distance from screen to random guy getting attacked - 1.77 * 1017 /[132 * 2*tan(70deg/2)] = 9.73785964 meters
Finding the distance between the two by subtracting the distance from the screen to the first guy by the distance to the guy farther away:
9.73785964 - 2.97476851 = 6.76309113 meters.
Calculation determined the amount of time it took for the electrical projectiles to hit the guy to be 0.92 seconds.
6.76309113 / 0.92 = 7.35118601 m/s
Knight's ingame swinging speed was calced at 36.875 m/s ingame, comparing these two velocities:
36.875 / 7.35118601 = 5.01619738x faster
The electrical projectiles are assumed to be about as fast as electricity in air from a tesla coil gun, which was calced at mach 1.634 in this blog here. This is reasonable, considering that the electrical attack is weaker and slower than the secondary ability of the greater storms tome that literally summons a lightning bolt with higher damage.
Given that the actual velocity of the electricity is 560.46200 m/s, then:
560.46200 * 5.01619738 = 2811.38802 M/S, or Mach 8.19646653.
Still Hypersonic, but much closer to the baseline for hypersonic+.
Plugging this into kinetic energy formulas with the mass of each ancient knight sword (already calced in this blog here)
Iro - (1/2) * 36720.3231843 * 2811.38802^2 = 1.45116929e11 Joules, or 34.6837784 Tons of TNT
City Block level
Cobalt - (1/2) * 41339.5252113 * 2811.38802^2 = 1.6337179e11 Joules or 39.0467949 Tons of TNT
City Block level
Gold - (1/2) * 90144.4274 * 2811.38802^2 = 3.56246387e11 Joules or 85.14493 Tons of TNT
City Block level+
Likewise, only a few profiles like the Adventurer and Mr. 58 would need to be edited due to scaling to endgame players pretty easily (City Block level+).
I would also suggest adding an "at least" rating to the midgame key considering that the player scales decently above ancient iron knight and shouldn't only be ~5 tons of TNT higher only scaling to the cobalt knight.
TL;dr - AP and durability gets buffed quite a bit and speed is slightly increased. Adventurer should get an at least rating for midgame key.
I'll post the calc portion of this onto a blog once I get a request for it. For now, this is open to discussion.