The Elder Scrolls calc archive

[Stocking Anarchy]

Here will be an archive for calcs from The Elder Scrolls.

Energy
Weak Fireball = 0.051 tons of TNT
Fireball (Oblivion) = 0.278 tons of TNT
Fireball (Skyrim) = 0.797 tons of TNT
Giants send people flying = 0.899 tons of TNT to 1.199 tons of TNT
Enemies Explode = 1.634 tons of TNT
Fireballs explode near Winterhold = 14.7 tons of TNT
Arch-Curate Vyrthur destroys the Chantry of Auri-El = 27.671 tons of TNT
Fire Storm = 90.8 tons of TNT to 35.551 gigatons
Lightning destroys Imperial City Wall = 225.762 tons of TNT
Generic Dragon Storm Call = 963.414 kilotons
The Greybeards shout = 3.69 megatons
Kaalgrontiid levitates Dragonhold (per second) = 4.631 megatons
Alduin's death throes = 219.424 megatons
Bolt Escape = 1.332 gigatons
Dragonhold explodes = 29.519 gigatons to 85.561 gigatons
Kaalgrontiid's power threatens Tamriel = 126.380 teratons. to 366.319 teratons
Increasing a constellation skill star (per second) = >5.396 exotons
Reseting a skill tree constellation = >32.377 exotons to >80.941 exotons

Speed
Chevalier Renald's jump = 90.525m/s
Fireballs explode near Winterhold = Mach 2.005
Abnur Tharn's reaction speed = Mach 21.349
Giants send people flying = Mach 32.913
Meteor = 84284954.2 C

Size
TBA

 

[Stocking Anarchy]

55:29

Spoiler

54:49

Spoiler

A dragon summons a storm on a mostly clear blue day. Keep in mind this is not a legendary super powerful dragon, or even a named dragon. This is just a generic nameless dragon.
https://forums.elderscrollsonline.com/en/discussion/493609/pts-patch-notes-v5-2-0

Frost & Storm Dragons
Frost and Storm Dragons from the far reaches of Tamriel have come out of hiding. Drawn to Elsweyr by their brethren, these fearsome creatures bring unique and devastating destruction magic to bear on those brave enough to face them.

• Frost Dragons summon fierce winter storms and cause frozen spears to burst forth from the ground. Storm Dragons call lightning from the skies and annihilate foes with fearsome blasts of shock magic.
• Rumors of Dragons that manipulate the flow of time have also spread through the taverns and caravanseries of Elsweyr, as have tales of long-dead skeletons erupting from the earth to serve Draconic masters.
• The creatures themselves have grown bolder, chasing enemies across the battlefield to rip into them with tooth and claw. Dragons tire of their environs and take to the skies when they are not engaged, so those who dare challenge them must be prepared to fight or give chase.
• These new Dragons and Dragon behaviors are found in both Northern and Southern Elsweyr!

Given it's a storm cloud, and storms are created by cumulonibi, we'll go with the height of a cumulonimbus, which on average is 12,000m. Distance to the horizon from the viewpoint of the average height is 4.7km, or 4700m. Volume as a cylinder.

V = πr^2h
= π X 4700^2 X 12000
= 8.32773381e11m^2

Density of a cumulus cloud is around 0.5 grams per m^3.

M = 8.32773381e11 X 0.5
= 416386690500g
= 416386690.5kg

Condensation of water vapour to liquid is 2260 joules per gram.

E = 416386690500 X 2260
= 9.41033921e14 joules

That's impressive, but we can also get the kinetic energy, as we can clearly see the clouds moving in from the horizon.

Spoiler

1.22 seconds.

T = 4700m/1.22s
= 3852.45902m/s

KE = (0.5)mv^2
= (0.5) X 416386690.5 X 3852.45902^2
= 3.08988915e15 joules

Now to add both together for our final results.

E = 9.41033921e14 + 3.08988915e15
= 4.03092307e15 joules
= 963.4137356596557993 kilotons

Final Results
Generic Dragon Storm Call = 963.414 kilotons

 

[Stocking Anarchy]

14:45

Spoiler

The Altmeri Dominion heroine is used as a conduit by a Ebonheart Pact mage to channel a lighting blast that vaporizes a large number of dremora and blows up a part of the Imperial City Wall. She survives this. The average height of a man is 171cm, or 1.71m.

Spoiler

30 pixels = 1.71m.
1 pixel = 1.71/30 = 0.057m
0.057m X 137 = 7.80900m
0.057m X 848 = 48.33600m

Spoiler

248 pixels = 7.80900m
1 pixel = 7.80900m/248 = 0.0314879032m
0.0314879032m X 127 = 3.99896371m

Spoiler

216 pixels = 7.80900m
1 pixel = 7.80900m/216 = 0.0361527778m
0.0361527778m X 1959 = 70.8232917m

Now to add them all together for our volume, as a rectangle.

V = lhw
= 70.8232917 X 3.99896371 X 48.33600
= 13689.711m^3

Violent fragmentation of rock is 69000000 joules per m^3.

E = 13689.711 X 69000000
= 944590059000 joules
= 225.762442399618 tons of TNT

Final Results
Lightning destroys Imperial City Wall = 225.762 tons of TNT

 

[Stocking Anarchy]

0:39

Spoiler

Several huge fireballs explode, seemingly from Alduin (though perhaps also mages going by the dialogue).

...to Scolars of voracious and ferocious magic...and to dark terrors from above.

0:11

Spoiler

The average height of a Norwegian man is 179.9cm, or 1.799m (closest equivalent to a Nord I could find).

184 pixels = 1.799m
1 pixel = 1.799m/184 = 0.00977717391m
0.00977717391m X 497 = 4.85925543m

Spoiler

Timeframe is 0.19 seconds.

17 pixels = 4.85925543m
4.85925543m/2 = 2.42962772m
1 pixel = 4.85925543m/17 = 0.285838555m
0.285838555m X 66 = 18.8653446m
18.8653446m/2 = 9.4326723m
0.285838555m X 103 = 29.4413712m
29.4413712m/2 = 14.7206856m

We can use Nuke Map, and for a radius of 14.7206856m, we get a yield of 0.0147 kilotons (or 14.7 tons of TNT), which I think is far more reasonable. How about speed?

Spoiler

Timeframe is 0.32 seconds.

15 pixels = 4.85925543m
1 pixel = 4.85925543m/15 = 0.323950362m
0.323950362m X 674 = 218.342544m

T = 218.342544m/0.32s
= 682.32045/340.29
= Mach 2.00511461

Final Results
Fireballs explode near Winterhold (energy) = 14.7 tons of TNT
Fireballs explode near Winterhold (speed) = Mach 2.005

 

[Stocking Anarchy]

Spoiler

https://en.uesp.net/wiki/Online:Bolt_Escape

Bolt Escape: Transform yourself into pure energy and flash forward, stunning enemies near origin location

Bolt Escape involves turning to energy to flash forward and stun enemies. Pretty sure this is a spamable attack too.The average weight of a human adult is 62kg.

E = mc^2
= 62 X 299792458^2
= 5.57228211e18 joules
= 1.331807387667303999 gigatons

Final Results
Bolt Escape = 1.332 gigatons

 

[Stocking Anarchy]

https://en.uesp.net/wiki/Online:Meteor

Meteor: Call a comet down from the constellations to blast an enemy

Spoiler

The spell Meteor calls down a meteorite from the constellations. We have have seen the stars of the constellations to be floating at seemingly unfixed points.


0:00

Spoiler

Even if those are holes to Aetherius or something else, we still have a sense of size and scale, which is similar in scope to our universe. Let's get the timeframe...

Spoiler

The timeframe is 1.58 seconds. The distance from Earth to the nearest star is 4.22 lightyears, or 3.99234299e16m.

T = 3.99234299e16m/1.58s
= 2.52679936e16/299792458
= 84284954.2 C

Final Results
Meteor = 84284954.2 C

Also keep in mind that there are other attacks and spells that allow for the interaction with stars and the Sun in The Elder Scrolls, such as Auri-El's Bow, Nova and Spear Shards.

 

[Stocking Anarchy]

5:14

Spoiler

Khamira: How did the Dragons island get into the sky? And where is Tharn? Five-claw, tell me what is happening!
Vestige: Kaalgrontiid is trying to become a god. The floating island is part of his plan.
Khamira: The prophecy of the Dark Aeon and the New Moon...I should have seen it sooner. But what of Tharn? Where is he?
Vestige: He's still on the island. He used the last of his strength to send me to get help.

9:17

Abnur Tharn: I had a feeling that you were behind the disruption of the other focal points. Figured I'd help...by taking out the last one.
Vestige: Tharn, you don't look so good.
Abnur Tharn: Ever the voice of...support and tact. Considering the circumstances, I could be worse. Unfortunately, I believe we...solved one problem...and created another.
Vestige: What do you mean?
Abnur Tharn: To safely absorb all that energy...Kaalgrontiid needed the focal points. As close as he is to his ascension...safety will be the furthest thing from his mind. If he proceeds with his ascension and makes even the slightest mistake...
Vestige: Tharn, what happens if Kaalgrontiid makes a mistake?
Abnur Tharn: If Kaalgrontiid tries to ascend without the focal points...he could unleash all that pent-up energy. The resulting blast would destroy Elsweyr...perhaps all of Tamriel...
Vestige: Tharn, are you all right?
Abnur Tharn: You worry more than...a Nord nurse maid... To the center of the island. It's time to end this.
Vestige: What happened to you after the island started to rise?
Abnur Tharn: I ran...dodged falling bricks and leapt over collapsing floors. Made my way to the surface...only to find we were a league or more in the sky.
Vestige: Then what did you do?
Abnur Tharn: I did what any proper battlemage would do...I hid. As you can see, I'm in no condition to take on Kaalgrontiid by myself. So I watched...and waited. How did you get back here, by the way?
Vestige: Khunzar-ri's spirit lead us through the Jonelight Path.
Abnur Tharn: Of course he did. If we survive this, you can explain that to me later. Now, let's go try to kill that damn dragon.

19:15

Abnur Tharn: Even in death, that damn Dragon haunts me! If that aeonstone shatters, Tamriel is doomed!
Vestige: Tell me how to stop this, Tharn.
Abnur Tharn: No, my friend. This task requires a Dragon...and a battlemage. Take Khamira and Sai Sahan. Find a way out of here. Nahfahlaar and I will contain the explosion.
Vestige: We're in this together, Tharn.
Abnur Tharn: And we have accomplished amazing things. But this...this isn't something you can help me with. Save the others. I need to reach that crystal before it explodes.
Vestige: I can't just leave you here to die, Tharn.
Abnur Tharn: I prepared for a moment such as this. I insist that you trust me, this one last time. If this is goodbye, my friend, it has been a privilege.
Vestige: Do what you have to and finish this, Tharn.

20:19

Nahfahlaar: I must aid the wizard, or the explosion will destroy everything!

21:02

Khamira: Tharn was a better teacher than I gave him credit for. When I needed to do it, I was able to open a portal. The island. It exploded. But the blast spread no farther. Tharn did it. Elsweyr is safe.

27:00
https://en.uesp.net/wiki/Online:Nahfahlaar

Vestige: What happened on Dragonhold at the very end, Nahfahlaar?
Nahfahlaar: The battlemage wanted to contain the energy of the aeonstones. To keep the release from destroying anything beyond the crumbling island.
I helped him achieve that goal before I returned here.
Vestige: And Abnur Tharn? Did he escape the destruction of the island, too?
Nahfahlaar: I do not know. The battlemage was weak, exhausted, but he refused to give up. He wanted to save you. Save this land. I lent him enough of my power to accomplish that task.
It was the least I could do after he helped stop Kaalgrontiid.

Kaalgrontiid on his way to trying to achieve godhood absorbs through the aeonstones enough power to rip the island of Dragonhold from the ground and levitate it over a league in the sky. His full energy is enough to destroy Tamriel. Abnur Tharn and Nahfahlaar reduce this from a continent destroying explosion to an island level one. This is also the focus of the final cinematic for Season of the Dragon, and said explosion is even seen in Skyrim.

Spoiler

Spoiler

Spoiler

Now...where to begin?

Spoiler

1. Destroying Tamriel
Kaalgrontiid and the aeonstones have enough power to destroy Tamriel, but Abnur Tharn and Nahfahlaar reduce it to just island level. The area of Tamriel is given in the Arena manual as 12,000,000km^2 (or 1.2e+13m^2).
http://tes.riotpixels.com/arena/files/arena-manual.pdf

If you are near the edge of one region the automap may not show you the next region until you enter it. This is not a mistake in your automap, but a memory limitation of the computer. To hold 12 million square kilometers of maps would take more memory than most machines have!

Next, we need to find the average elevation of Tamriel. I would have just gone with a low end of the lowest elevation in the world, but it's blatantly clear Tamriel has a higher elevation than the Maldives, so we'll get an average of all the countries average elevations.
https://www.atlasbig.com/en-us/countries-average-elevation
H = 1.8 + 15 + 28 + 30 + 34 + 34 + 61 + 69 + 70 + 83 + 85 + 87 + 91 + 108 + 108 + 109 + 110 + 118 + 126 + 139 + 143 + 149 + 160 + 160 + 162 + 164 + 173 + 173 + 175 + 178 + 181 + 190 + 207 + 228 + 230 + 236 + 243 + 246 + 246 + 250 + 263 + 273 + 276 + 279 + 282 + 287 + 297 + 298 + 305 + 310 + 312 + 320 + 320 + 321 + 325 + 330 + 331 + 340 + 343 + 345 + 360 + 367 + 372 + 375 + 377 + 380 + 384 + 387 + 388 + 398 + 400 + 410 + 414 + 423 + 424 + 430 + 430 + 433 + 438 + 442 + 442 + 442 + 450 + 458 + 460 + 470 + 472 + 472 + 473 + 474 + 478 + 487 + 492 + 498 + 500 + 508 + 514 + 538 + 538 + 543 + 557 + 568 + 577 + 593 + 595 + 600 + 635 + 660 + 665 + 667 + 667 + 684 + 702 + 708 + 710 + 726 + 741 + 746 + 759 + 760 + 762 + 779 + 800 + 812 + 853 + 900 + 909 + 910 + 961 + 999 + 1,013 + 1,018 + 1,034 + 1,086 + 1,111 + 1,112 + 1,117 + 1,132 + 1,138 + 1,141 + 1,150 + 1,192 + 1,250 + 1,305 + 1,330 + 1,350 + 1,432 + 1,504 + 1,528 + 1,555 + 1,598 + 1,792 + 1,792 + 1,840 + 1,871 + 1,885 + 1,996 + 2,161 + 2,988 + 3,186 + 3,265 + 3,280
= 103455.8m/162
= 638.616049m

V = 1.2e+13 X 638.616049
= 7.66339259e15m^3

Now for our energy. A low end of violent fragmentation (69000000 joules per m^3) and a high end of pulverization (200000000 joules per m^3).

(Low end)
E = 7.66339259e15 X 69000000
= 5.28774089e23 joules
= 126.38004039196941619 teratons

(High end)
E = 7.66339259e15 X 200000000
= 1.53267852e24 joules
= 366.31895793499046476 teratons

Abnur Tharn and Nahfahlaar restrain this explosion, and make it so only Dragonhold is destroyed.

2. Levitating Dragonhold
A league is equal to 5.55600km, or 5556m. It's hard to say where the island was located, but going to the bottom of the screen would get us a minimum distance.

Spoiler

753 pixels = 5556m
1 pixel = 5556m/753 = 7.37848606m
7.37848606m X 290 = 2139.76096m
2139.76096m/2 = 1069.88048m
7.37848606m X 76 = 560.764941m
7.37848606m X 82 = 605.035857m
605.035857m/2 = 302.517928m
7.37848606m X 58 = 427.952191m
7.37848606m X 79 = 582.900399m
582.900399m/2 = 291.450199m
7.37848606m X 64 = 472.223108m
7.37848606m X 111 = 819.011953m
819.011953m/2 = 409.505976m
7.37848606m X 109 = 804.254981m
7.37848606m X 96 = 708.334662m
708.334662m/2 = 354.167331m
7.37848606m X 103 = 759.984064m
759.984064m/2 = 379.992032m
7.37848606m X 115 = 848.525897m

object degree size = 2*atan(Object_Size/(Panel_Height/tan(70/2)))

= 2*atan(290/(1045/tan(70/2)))
= 0.261478453 rad
= 14.9816117905470225 degrees

Put that into the angscaler, and Dragonhold is a distance of 8136.6km. We'll pocket that for later...

Volume of everything as cones.

V = πr^2h/3
= π X 1069.88048^2 X 560.764941/3
= 672171353m^3
= 6.72171353e+14cm^3

V = 6.72171353e+14 X 2
= 1.34434271e15cm^3

V = πr^2h/3
= π X 302.517928^2 X 427.952191/3
= 41013431.4m^3
= 4.10134314e+13cm^3

V = πr^2h/3
= π X 291.450199^2 X 472.223108/3
= 42005345.9m^3
= 4.20053459e+13cm^3

V = πr^2h/3
= π X 409.505976^2 X 804.254981/3
= 141235173m^3
= 1.41235173e+14cm^3

V = πr^2h/3
= π X 354.167331^2 X 708.334662/3
= 93043086.7m^3
= 9.30430867e+13cm^3

V = πr^2h/3
= π X 379.992032^2 X 848.525897/3
= 128304740m^3
= 1.2830474e+14cm^3

Now we'll have to get the energy for this, using GPE. Assuming Nirn is Earth-sized, it would have a gravitational pull of 9.807m/s², which we'll times with the mass and the centre of gravity. The centre of gravity on a cone is a quarter of the way from the base. The average density of continental crust is 2.83g per cm^3. However, given each island is different in size, we'll have to find it for each island individually...

H = 560.764941 X 0.75
= 420.573706m

M = 6.72171353e+14 X 2.83
= 1.90224493e15g
= 1902244930000kg

E = 420.573706 X 9.807 X 1902244930000
= 7.8459354e15 X 2
= 1.56918708e16 joules

H = 427.952191 X 0.75
= 320.964143m

M = 4.10134314e+13 X 2.83
= 1.16068011e14g
= 116068011000kg

E = 320.964143 X 9.807 X 116068011000
= 3.65346739e14 joules

H = 472.223108 X 0.75
= 354.167331m

M = 4.20053459e+13 X 2.83
= 1.18875129e14g
= 118875129000kg

E = 354.167331 X 9.807 X 118875129000
= 4.12891246e14 joules

H = 409.505976 X 0.75
= 307.129482m

M = 1.41235173e+14 X 2.83
= 3.9969554e14g
= 399695540000kg

E = 307.129482 X 9.807 X 399695540000
= 1.20389049e15 joules

H = 354.167331 X 0.75
= 265.625498m

M = 9.30430867e+13 X 2.83
= 2.63311935e14g
= 263311935000kg

E = 265.625498 X 9.807 X 263311935000
= 6.85924762e14 joules

H = 379.992032 X 0.75
= 284.994024m

M = 1.2830474e+14 X 2.83
= 3.63102414e14g
= 363102414000kg

E = 284.994024 X 9.807 X 363102414000
= 1.01484815e15 joules

Finally, we add them all together for our final result.

E = 1.56918708e16 + 3.65346739e14 + 4.12891246e14 + 1.20389049e15 + 6.85924762e14 + 1.01484815e15
= 1.93747722e16 joules
= 4.63068169216061154 megatons

Remember that this is just the passive energy outputted by Kaalgrontiid every second to keep the islands in the sky.

3. Dragonhold explodes
Next for the energy of Dragonhold exploding. We'lll add all of the volumes for each of the islands for our total volume.

V = 1.34434271e15 + 4.10134314e+13 + 4.20053459e+13 + 1.41235173e+14 + 9.30430867e+13 + 1.2830474e+14
= 1.78994449e15cm^3
= 1789944490000m^3

We'll go with a low end of violent fragmentation and a high end of pulverization.

(Low end)
E = 1789944490000 X 69000000
= 1.2350617e20 joules
= 29.518683078393880947 gigatons

(High end)
E = 1789944490000 X 200000000
= 3.57988898e20 joules
= 85.561400095602294869 gigatons

Nahfahlaar survives this explosion close to ground zero.

4. Abnur Tharn blocks the explosion
The cinematic version of this feat is even more impressive; Abnur Tharn has no preperation for the aeonstone exploding, and stops it after it explodes. When he gives out and the explosion continues, we see it exploding rapidly to where the other heroes are. Which means Abnur Tharn reacted to the explosion. TES is a multiverse, so both versions are canon.

Spoiler

Timeframe is 1.12 seconds. Above we had the distance from the heroes to the island at 8136.6m.

T = 8136.6m/1.12s
= 7264.82143/340.29
= Mach 21.3489125

Final Results
Kaalgrontiid's power threatens Tamriel (low end) = 126.380 teratons
Kaalgrontiid's power threatens Tamriel (high end) = 366.319 teratons
Kaalgrontiid levitates Dragonhold (per second) = 4.631 megatons
Dragonhold explodes (low end) = 29.519 gigatons
Dragonhold explodes (high end) = 85.561 gigatons
Abnur Tharn's reaction speed = Mach 21.349

 

[Stocking Anarchy]

41:50

Spoiler

Chevalier Renald performs a blatantly superhuman jump. The average height of a man is 5 feet 9 inches, or 1.7526m.

Spoiler

37 pixels = 1.7526m
1 pixel = 1.7526m/37 = 0.0473675676m

Spoiler

Timeframe is 0.09 seconds.
0.0473675676m X 172 = 8.14722163m

T = 8.14722163m/0.09s
= 90.5246848m/s

Final Results
Chevalier Renald's jump = 90.525m/s

Not as much as I thought it would be, but still blatantly superhuman and pretty impressive (this is 325.89km/h).

 

[Stocking Anarchy]

The Elder Scrolls has a ton of insane feats that get overlooked for reasons I still can't fathom.

Spoiler

4:13

Spoiler

Each time you level up, you cause a star to increase in luminosity considerably. Not also the stars are at various points in space. The skill tree constellations are referenced in the Legends: Heroes of Skyrim trailer with a nebula-sized manifestation of Akatosh.

0:02

Spoiler

On top of this, Todd Howard also says that levelling up involves looking to the heavens.

4:23

Todd Howard: With the skills menu you look to the heavens...

Finally, the last Black Book grants Dovahkiin the power to alter the skill constellations, and visions of the skill constellations appear in the game (not in the menus), and you can alter them in exchange for a dragon soul. Which would mean that end of game Dovahkiin at least scales.

9:30

Spoiler

It's also of note to point out the constellations as seen in Apocrypha are also 3D (link here because I'm out of room to post videos, 0:50 seconds in).

Spoiler

Even though the stars are rips to Aetherius, this calc is still valid. First off, to get the original brightness of the stars. They're considerably dimmer, but for now at least I'll go with the apparent magnitude of the closest star, Alpha Centuri (that being 1.519) and a distance of 4.367 light years (or 41315000000000000m).

M = -26.73 - 2.5log ((L/3.846*10^26)(146000000000/d)^2)
(146000000000/(41315000000000000))^2) = 1.24879226e-11
1.519 - -26.73 = 1.24879226e-11/((L/3.846*10^26)
28.24900 = -2.5Log(1.24879226e-11/((L/3.846*10^26))
28.24900/-2.5 = (1.24879226e-11/((L/3.846*10^26))
10^(-11.2996) = (1.24879226e-11/((L/3.846*10^26))
5.01649057e-12 = (1.24879226e-11/((L/3.846*10^26))
5.01649057e-12 X (3.864*10e26) = 1.24879226e-11
1.93837196e16/1.24879226e-11 = 1.55219729e27 joules

Now for the increase in luminousity. Using an apparent magnitude of Sirius, the brightest star in the sky -1.46.

M = -26.73 - 2.5log ((L/3.846*10^26)(146000000000/d)^2)
(146000000000/(41315000000000000))^2) = 1.24879226e-11
-1.46 - -26.73 = 1.24879226e-11/((L/3.846*10^26)
25.27 = -2.5Log(1.24879226e-11/((L/3.846*10^26))
25.27/-2.5 = (1.24879226e-11/((L/3.846*10^26))
10^(-10.10800) = (1.24879226e-11/((L/3.846*10^26))
7.79830111e-11 = (1.24879226e-11/((L/3.846*10^26))
7.79830111e-11 X (3.864*10e26) = 1.24879226e-11
3.01326355e17/1.24879226e-11 = 2.41294221e28 joules

Subtract the former from the latter and we have our energy.

2.41294221e28 - 1.55219729e27 = 2.25772248e28 joules = 5.3960862332695987789 exotons

Not sure if that scales or not, but altering constellations certainly does. The constellation with the least number of stars is Light Armour with 6 stars, while the constellation with the most stars is Conjuration with 15 stars. Although some of them do involve choosing a constellation twice (including Light Armor), we'll settle with the number of stars for now.

2.25772248e28 X 6 = 1.35463349e29 joules = 32.37651744741874063 exotons
2.25772248e28 X 15 = 3.38658372e29 joules = 80.941293499043982592 exotons

Final Results
Increasing a skill tree perk (per second) = >5.396 exotons
Reseting the smallest skill tree constellation = >32.377 exotons
Reseting the largest skill tree constellation) = >80.941 exotons

Take note this this energy is per second too. Plus taking into account the bizzare nature of the Aurbis, this is an absolute low end and may actually be far higher.

 

[Stocking Anarchy]

Giants can famously launch people high into the air. This is supported by the in-game book All About Giants, where a wood elf notes this hapens to Nords who cross giants (And is his own eventual fate).

Lore:All About Giants - The Unofficial Elder Scrolls Pages (UESP)

en.uesp.net

Giants seem peaceful enough. Until you threaten them. Then they swing huge clubs and launch even a burly Nord over field and stream. The trip probably kills the Nord. That would be my guess, as I've never been able to interview a survivor of a giant's swing.

IF this is not enough; word of god not only confirms that this was a bug they kept in because it was so funny, but giants can launch people into orbit!

https://www.artstation.com/artwork/r8WYE

A lot of people don't know this, but I originally designed the Giant to look like my father, Jim Lobe (you can google him if you like, he's a journalist). With his weathered features and weary demeanor, the Skyrim Giant was meant to convey a profound feeling of oldness, of a long life lived in the sun. I wanted players to feel like children again, small, in awe of the largeness of our parents as they moved around the house. To create this, I referenced the art of Adam Adamowicz (obviously - he was the concept artist there at Bethesda Softworks!), farmers from around the world (to get that creased-skin look) and African tribal scarring (blended with a Celtic influence).
The model, fully-clothed, weighs in at around 12k polys. Watch out for that club - it'll send you into orbit.
(Fun-fact: We at Bethesda identified that physics bug in the game almost right away... and then decided it was too hilarious to take out!)

To send someone into orbit would mean the giants have to hit them at escape velocity speeds, which on Earth (or an Earth-sized planet) is 11.2km/s (or 11200m/s).
T = 11200m/1s
= 11200/340.29
= Mach 32.9131035

The average weight of a person ranges from 60kg to 80kg depending on where they come from, which will serve as our low end and our high end.

(Low end)
KE = (0.5)mv^2
= (0.5) X 60 X 11200^2
= 3763200000 joules
= 0.8994263862333 tons of TNT

(High end)
KE = (0.5)mv^2
= (0.5) X 80 X 11200^2
= 5017600000 joules
= 1.199235181644 tons of TNT

Final Results
Giants send people flying (speed) = Mach 32.913
Giants send people flying (energy - low end) = 0.899 tons of TNT
Giants send people flying (energy - high end) = 1.199 tons of TNT

To further cement how completely legitimate this is, giants can also explode the ground by smashing it with their clubs, so imagine what would happen if they hit a person.

Legends:Unstoppable Rage - The Unofficial Elder Scrolls Pages (UESP)

en.uesp.net

Spoiler

 

[Stocking Anarchy]

1:06

Fireballs explode to do some considerable damage. I'll have to look up to see if there are any examples of how big fireballs can be in the lore, but gameplay-wise, they can reach 15 feet (or 4.57200m) in radius.

Skyrim:Fireball - The Unofficial Elder Scrolls Pages (UESP)

en.uesp.net

A fiery explosion for 40 points of damage in a 15 foot radius. Targets on fire take extra damage.

Put this through Nuke Map and mess around some and we get a fireball yield of 0.000797 kilotons (or 0.797 tons of TNT).

Final Results
Fireball = 0.797 tons of TNT

 

[Stocking Anarchy]

25:13

Enemies Explode causes some considerable explosions. At its highest (at least according to gameplay, lore is likely much higher), Enemies Explode has a radius of 20 feet (or 6.09600m).

Oblivion:Spells - The Unofficial Elder Scrolls Pages (UESP)

en.uesp.net

Enemies Explode

Spell : 014720 Tome : None

Fire Damage 5 pts in 10 ft for 5 secs on Target Fire Damage 70 pts in 20 ft for 1 sec on Target

842

Can be purchased from: Delphine Jend

Let's put this through Nuke Map and play around until we have an accurate radius, and with an accurate radius we get a fireball yield of 0.001634 kilotons (or 1.634 tons of TNT).

Final Results
Enemies Explode = 1.634 tons of TNT

 

[Stocking Anarchy]

0:54

Firestorm is the most powerful spell you can learn in Skyrim, and it causes a massive explosion. Although this is gameplay (and thus the actual lore version could be far more impressive), as an ingame spell, it has a range of 100 feet (or 30.48m).

Skyrim:Fire Storm - The Unofficial Elder Scrolls Pages (UESP)

en.uesp.net

A 100 point fiery explosion centered on the caster. Does more damage to closer targets.

Using Nuke Map once again and playing around with it until we have an accurate radius, we end up with a fireball yield of 0.0908 kilotons (or 90.8 tons of TNT).
The in-game lorebook Power of the Elements says that this spell has the power to make the sea boil.

Lore:Power of the Elements - The Unofficial Elder Scrolls Pages (UESP)

en.uesp.net

Northward, haunted northern coastline
And south, Dwemer live and toil,
A simple place, a shield from draft.
At this stand wield mage's craft
So fierce the sea will boil.

So fierce the sea will boil eh? Why not take this at face value (just because)? I couldn't find the minimum size of a sea, but this is close enough...

Sea

The “seven seas” has been used to describe the world’s great water bodies for a long time. But there are actually about 50 water formations that can be called a “sea,” and they are quite diverse when it comes to their size, location, and ecosystems.

education.nationalgeographic.org

Still, that leaves dozens of water bodies that fit the traditional definition of a sea, even though they can be quite different from one another. A sea can be more than 2.6 million square kilometers (1 million square miles) in area, such as the Caribbean Sea. Or, it can be as tiny as the Sea of Marmara, which is less than 12,950 square kilometers (5,000 square miles) in area. This tiny Turkish sea connects the Aegean Sea and the Black Sea.

The Sea of Marmara will be the example we use, given it's very small. The Sea of Marmara has a volume of 3378 km^3 (or 3.378e+12m^3). The weight of water per m^3 is 1000kg.

M = 3.378e+12 X 1000kg
= 3.37800e15kg

The average temperature of the sea waters of Norway (the closest real life equivilent to Skyrim) is 11°C. The specific heat of salt water at 11°C is 4.003 kilojoules per kg.

E = 3.37800e15 X 4.003 X 11
= 1.48743474e17 kilojoules (1.48743473999999992e+20 joules)
= 35.55054349904397526 gigatons

Final Results
Fire Storm (low end) = 90.8 tons of TNT
Fire Storm (high end) = 35.551 gigatons

 

[Stocking Anarchy]

2:52

Oblivion:Destruction Spells - The Unofficial Elder Scrolls Pages (UESP)

en.uesp.net

Weak Fireball Spell : Fire Damage 5 pts in 5 ft for 3 secs on Target

The Weak Fireball spell causes a small explosion, which in terms of gameplay is 5 feet in radius (as you can see above compared with a troll). 5 feet is 1.52400m. Enter this into Nukemap and we have a yield of 0.0000506 kilotons for a radius of 1.52m, or 0.0506 tons of TNT.

Final Results
Weak Fireball = 0.051 tons of TNT

What's more, replaying Oblivion and if you case a Weak Fireball at a group of loose boulders you'll send them flying with great force, so it's likely even higher.

 

[Stocking Anarchy]

13:27

Fireball causes a considerable explosion. In-game, this spell has a 10 feet radius (take note this is gameplay-wise, lorewise is almost certainly higher).

Oblivion:Destruction Spells - The Unofficial Elder Scrolls Pages (UESP)

en.uesp.net

Fire Ball Spell: Fire Damage 30 pts in 10 ft on Target

Using Nukemap again for a radius of 3m and we get a yield of 0.000278 kilotons (or 0.278 tons of TNT).

Final Results
Fireball = 0.278 tons of TNT

 

[Stocking Anarchy]

Lore:Pocket Guide to the Empire, 1st Edition/Cyrodiil - The Unofficial Elder Scrolls Pages (UESP)

From the Odes:
"He was born in Atmora as Talos, 'Stormcrown' in the language of the ancient Ehlnofey, and it was from that shore he sailed. He spent his youth in Skyrim among the Nords. There he learned much from the Tongues and their chieftains and their ways of war. At twenty he led the invasion of Old Hrol'dan, taking it back from the Witchmen of High Rock and their kinsmen.
"Soon the Greybeards made known that they were restless. Already the storms had begun from their murmurs. The Greybeards were going to Speak. The surrounding villages were abandoned as the people fled the coming blast.
"The villagers warned Talos to turn back, for he was marching to the mountain where the Greybeards dwelt.
"Inside he went, and on seeing him they removed their gags. When they spoke his name the World shook.
"The Tongues of Skyrim told the son of Atmora that he had come to rule Tamriel and that he must travel south to do so.
"And it is true that Talos did come to Cyrodiil shortly after the Battle of Old Hrol'dan.
"And it is true that a great storm preceded his arrival."

The Greybeards speaking causes the world to shake. Todd Howard himself confirms this is literal.
http://www.gameinformer.com/themes/...im-s-dragon-shouts&GroupKeys=&PostPageIndex=1

In the lore, Tiber Septim was the first main emperor. He could shout. His way of the Voice was unmatched,” Howard explains. “He is the original guy who walks the seven thousand steps and talks to the Greybeards. And the idea is, at that time, that they were so powerful they had to have all the villages flee for miles. This little kid is walking up this snowy mountain, and all these people are packed up and they’re walking down and away. Because they know the kid is going up to talk to these guys, and when they talk there’s going to be avalanches.”

The Greybeards of the 4th Era do this too, once again shaking the world.

And yes, this is literal, once again confirmed by Todd Howard.
nerdtrek.com/skyrim-details/

Todd Howard: The greybeards, the guys who live up on the throat of the world, who are the masters of the voice, they find out about this fairly quickly, and they shout your name. They shout Dovahkiin to the wind, and it kind of rumbles through the world. The mountains shake when they call you. And you think ‘what was that,’ and someone says ‘that was the greybeards calling you. To walk the 7,000 steps up the throat of the world to meet them.'”

What's more, it was felt in Winterhold by.
http://en.uesp.net/wiki/Skyrim:Urag_gro-Shub

Dovahkiin: What about the Dragonborn?

Urag_gro-Shub: What about... wait. Are you? Were you the one the Greybeards were calling?

So yeah, it's literal. Not shaking the perspective; it rumbles through the world and shakes the mountains, and indeed the entire world. Looking at the mercalli chart, it would rank at a IV or V.

Spoiler

That would be about a 5 on the richter scale.

Spoiler

There's two ways this can be done; non-seizemic and seizemic. For now we'll go non-seizemic. Circumference of the Earth is 40,075km, half of which is 20037.5km (though it takes 20011km at best, so we'll go with that). Using this impact calculator and fiddling with the numbers until we get the right numbers, which is 1.55 x 10^16 Joules, or 3.69 megatons of TNT equivilent. That's it? I expected more. Still impressive though. And if it's seizemic, it'd be far higher. Dovahkiin tanks the full strength of the Greybeards shouts at point blank and is completely unscathed. Speaking of, incase it wasn't clear from the game itself, the strength of the shout depends on the power of the shouter. The Greybeards sans Argneir are too powerful to even speak.

Spoiler

Arngeir

Dragonborn: Why don't the others talk?
Arngeir: Their Voices are too powerful for anyone not trained in the Way to withstand. Even a whisper could kill you.

Final Results
The Greybeards shout = 3.69 megatons

 

[Stocking Anarchy]

Upon defeating Alduin in Sovngarde, he creates a massive storm in his death throes. Note also in the background one of the statues in Sovngarde are destroyed. First up, let me point out Alduin's last words...
Alduin (Skyrim)

Alduin: Zu'u unslaad! Zu'u nis oblaan! (I am eternal! I cannot end! (be ended/be killed))!

Which is very different from the words of storm call, Strun Bah Qo. Alduin doesn't even say any of those words. My point being this is not a specific shout but Alduin's power getting unleashed upon his death. The horizon from 1.7m (average height) up is 4.7km away, or 4700m. Storm clouds are cumulonimbus, which are on average 12000m tall. Volume of the area as a cylinder.

V = πr^2h
= π X 4700^2 X 12000
= 8.32773381e11m^3

Density of a cloud/air is 1.003kg/m^3.

M = 8.32773381e11 X 1.003
= 835271701143kg

Finally for our timeframe.

Spoiler

3.17 seconds.

T = 4700m/3.17s
= 1482.64984m/s

Finally for the energy.

KE = (0.5)mv^2
= (0.5) X 835271701143 X 1482.64984^2
= 9.18068237e17 joules
= 219.42357480879542209 megatons

Final Results
Alduin's death throes = 219.424 megatons

 

[Stocking Anarchy]

4:40

Arch-Curate Vrythur destroys the Chantry of Auriel in a huge explosion. I've been meaning to do this for ages, but couldn't find a good way to scale. Thankfully, my friend supplied good scans to scale with, so let's get to it!

Spoiler

There seem to be 12 pillars there for reference. A quick search reveals that the average height of a man is 175cm (1.75m).

Spoiler

63 pixels = 1.75m
1 pixel = 1.75m/63 = 0.0277777778m
0.0277777778m X 135 = 3.75m
0.0277777778m X 116 = 3.22222222m
0.0277777778m X 24 = 0.666666667m
0.0277777778m X 72 = 2m

Spoiler

126 pixels = 3.75m
1 pixel = 3.75m/126 = 0.0297619048m
0.0297619048m X 378 = 11.25m
0.0297619048m X 41 = 1.2202381m
0.0297619048m X 211 = 6.27976191m
0.0297619048m X 197 = 5.86309525m

Spoiler

29 pixels = 3.22222222m
1 pixel = 3.22222222m/29 = 0.111111111m
0.111111111m X 5 = 0.555555555m
0.111111111m X 9 = 0.999999999m
0.111111111m X 153 = 17m
0.111111111m X 21 = 2.33333333m
0.111111111m X 254 = 28.2222222m

Volume of the main room as a rectangular prism, of the roof bit as half a cylinder and the pillars as rectangles.

H = 11.25 - 3.75
= 7.5m

V = 7.5 X 17 X 28.2222222
= 3598.33333m^3

28.2222222 - (0.666666667 X 2) = 26.8888889m
17 - (0.666666667 X 2) = 15.6666667m
7.5 - 0.666666667 = 6.83333333m

V = 26.8888889 X 15.6666667 X 6.83333333
= 2878.60494m^3

V = 3598.33333 - 2878.60494
= 719.72839m^3

V = 28.2222222 X 2 X 2
= 112.888889 X 2
= 225.777778m^3

V = 28.2222222 X 0.666666667 X 0.666666667
= 12.5432099 X 2
= 25.0864198m^3

V = 225.777778 - 25.0864198
= 200.691358m^3

V = 0.555555555 X 0.999999999 X 6.83333333
= 3.79629629 X 12
= 45.5555555m^3

V = 2.33333333 X 0.999999999 X 6.83333333
= 15.9444444 X 12
= 191.333333m^3

28.2222222m - 6.27976191m = 21.9424603m

V = πr^2h
= π X 5.86309525^2 X 21.9424603
= 2369.67667m^3

21.9424603 - (0.666666667 X 2) = 20.609127m
5.86309525 - (0.666666667 X 2) = 4.52976192m

V = πr^2h
= π X 4.52976192^2 X 20.609127
= 1328.49591

V = 2369.67667 - 1328.49591
= 1041.18076/2
= 520.59038m^3

Now to add all of that up.

V = 719.72839 + 200.691358 + 45.5555555 + 191.333333 + 520.59038
= 1677.89902m^3

Finally for our energy. It looks pretty violent, so obviously we'll be going with violent fragmentation, which is 69000000 joules per m^3.

E = 1677.89902 X 69000000
= 115775032380 joules
= 27.6708968403442 tons of TNT

Final Results
Arch-Curate Vyrthur destroys the Chantry of Auri-El = 27.671 tons of TNT